Gas Laws and Properties
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Questions and Answers

Which of the following properties is NOT generally associated with gases under normal conditions?

  • Definite shape and volume (correct)
  • Negligible attractive forces between molecules
  • High compressibility
  • Low densities compared to solids and liquids

According to the kinetic molecular theory, what happens when gas particles collide?

  • Kinetic energy is completely lost.
  • No kinetic energy is lost. (correct)
  • Kinetic energy is increased.
  • Kinetic energy is partially conserved.

Which of the following units is NOT a standard unit for measuring physical characteristics of gases?

  • Kelvin (K) for Temperature
  • Atmosphere (atm) for Pressure
  • Grams (g) for the Number of Molecules (correct)
  • Liters (L) for Volume

Which gas law describes the relationship between pressure and volume at a constant temperature?

<p>Boyle's Law (A)</p> Signup and view all the answers

If a gas occupies a volume of $V_1$ at pressure $P_1$, what will be the new volume ($V_2$) if the pressure is changed to $P_2$ at constant temperature, according to Boyle's Law?

<p>$V_2 = \frac{P_1V_1}{P_2}$ (B)</p> Signup and view all the answers

A container of gas at constant temperature has its volume doubled. According to Boyle's Law, what happens to the pressure of the gas?

<p>The pressure is halved. (B)</p> Signup and view all the answers

A gas in a 5.0 L container has a pressure of 2 atm. If the volume is increased to 10.0 L at constant temperature, what is the new pressure?

<p>1 atm (D)</p> Signup and view all the answers

Which statement best describes the molecular behavior of gases based on the provided content?

<p>Gas molecules are randomly distributed, far apart, and in constant random motion. (A)</p> Signup and view all the answers

If you have two sealed containers, one with gas A and one with gas B, both at the same temperature, what can you conclude about their average kinetic energies?

<p>Both gases have the same average K.E. (C)</p> Signup and view all the answers

A gas has initial pressure of 800 mmHg and a volume of 5L. If the volume is changed to 10L at constant temperature, what is the new pressure?

<p>400 mmHg (A)</p> Signup and view all the answers

A gas occupies 10.0 L at 27°C. If the temperature is increased to 227°C at constant pressure, what is the new volume, assuming ideal gas behavior?

<p>16.7 L (B)</p> Signup and view all the answers

A container holds 5.0 L of a gas at a pressure of 200 kPa. If the pressure is decreased to 100 kPa while keeping the temperature constant, what is the new volume?

<p>10.0 L (B)</p> Signup and view all the answers

A rigid container holds a gas at a pressure of 1.5 atm at 25°C. If the temperature is increased to 75°C, what is the new pressure inside the container?

<p>1.76 atm (D)</p> Signup and view all the answers

If 2 moles of gas occupy 20 L at a certain temperature and pressure, what volume will 3 moles of gas occupy under the same conditions?

<p>30 L (C)</p> Signup and view all the answers

A mixture of gases contains nitrogen with a partial pressure of 60 kPa and oxygen with a partial pressure of 20 kPa. If there are no other gases, what is the total pressure of the system?

<p>80 kPa (D)</p> Signup and view all the answers

A balloon contains 5 L of air at 20°C. If the balloon is heated to 40°C, and the amount of gas is doubled, what is the new volume, assuming the pressure remains constant?

<p>10.68 L (C)</p> Signup and view all the answers

A gas occupies 10.0 L at standard temperature and pressure (STP). If the amount of gas is doubled, what is the new volume, assuming the temperature and pressure remain at STP?

<p>20.0 L (C)</p> Signup and view all the answers

A gas is heated from 20°C to 50°C in a container with a movable piston. If the initial volume is 3 L, what is the final volume, assuming the pressure remains constant?

<p>3.3 L (A)</p> Signup and view all the answers

At constant temperature, 2 L of a gas at 3 atm is allowed to expand to 6 L. What is the new pressure?

<p>1 atm (C)</p> Signup and view all the answers

A container of gas at 25°C has a pressure of 2 atm. If the temperature is increased to 50°C, what is the new pressure, assuming the volume remains constant?

<p>2.17 atm (D)</p> Signup and view all the answers

A gas mixture contains nitrogen, oxygen, and carbon dioxide. If the partial pressures of nitrogen and oxygen are 400 torr and 250 torr respectively, and the total pressure is 800 torr, what is the partial pressure of carbon dioxide?

<p>150 torr (B)</p> Signup and view all the answers

A balloon contains 10L of air at standard temperature and pressure (STP). If the temperature is doubled and the pressure is halved, what is the new volume of the balloon, assuming ideal gas behavior?

<p>40 L (C)</p> Signup and view all the answers

Under what conditions does a real gas behave most like an ideal gas?

<p>Low pressure and high temperature (A)</p> Signup and view all the answers

A container holds 4g of Helium gas and 28g of Nitrogen gas. If the total pressure inside the container is 10 atm, what is the partial pressure of Helium?

<p>8 atm (A)</p> Signup and view all the answers

If Gas A has a molar mass of 16 g/mol and Gas B has a molar mass of 4 g/mol, how much faster will Gas B effuse compared to Gas A, assuming identical conditions?

<p>2 times faster (A)</p> Signup and view all the answers

A gas occupies 10.0 L at standard temperature (0 degrees C) and 1 atm pressure. What volume will it occupy at 273 degrees C and 0.5 atm pressure?

<p>40.0 L (A)</p> Signup and view all the answers

What is the impact of strong intermolecular forces on the behavior of real gases compared to ideal gases?

<p>Cause real gases to have a smaller volume than predicted by the ideal gas law. (A)</p> Signup and view all the answers

Ammonia ($NH_3$) gas effuses at a rate of 0.075 mol/min. An unknown gas effuses at a rate of 0.030 mol/min under the same conditions. What is the approximate molar mass of the unknown gas?

<p>107 g/mol (A)</p> Signup and view all the answers

A rigid container holds a gas at a constant volume. If the temperature of the gas is increased from 200 K to 400 K, what happens to the pressure of the gas?

<p>Increases by a factor of two (B)</p> Signup and view all the answers

A 2.0 mol sample of an ideal gas expands from a volume of 10.0 L to 25.0 L at a constant temperature of 300 K. Calculate the work done by the gas during this expansion assuming the expansion occurs against a constant external pressure of 1.0 atm.

<p>-1.53 x 10^3 J (A)</p> Signup and view all the answers

Which statement regarding the spaces between gas molecules aligns with kinetic molecular theory?

<p>Gas molecules are smaller than the spaces between them. (C)</p> Signup and view all the answers

Which of the following is NOT a fundamental assumption of the kinetic molecular theory of gases?

<p>Gas particles exhibit significant attractive and repulsive forces. (B)</p> Signup and view all the answers

Which of the following units of measurement is least relevant when discussing the physical characteristics of gases?

<p>Grams (g) (B)</p> Signup and view all the answers

Which of the following conditions would cause the most deviation from the ideal gas law?

<p>Low temperature and high pressure (B)</p> Signup and view all the answers

A rigid container is filled with a gas. What will happen to the pressure inside the container if the temperature of the gas is increased?

<p>The pressure will increase. (A)</p> Signup and view all the answers

Which gas law directly relates the number of moles of a gas to its volume at constant temperature and pressure?

<p>Avogadro's Law (B)</p> Signup and view all the answers

Consider two gases, A and B, at the same temperature. If the molar mass of gas A is four times that of gas B, how do their average speeds compare?

<p>Gas B has twice the average speed of gas A. (C)</p> Signup and view all the answers

A closed container of fixed volume holds a mixture of nitrogen and oxygen gases. If the amount of nitrogen is doubled while maintaining constant temperature, what happens to the partial pressure of oxygen?

<p>The partial pressure of oxygen remains the same. (B)</p> Signup and view all the answers

Container A holds 1 mole of an ideal gas at 300 K, and container B holds 2 moles of the same gas at 300 K. Both containers have the same volume. Which container has the higher pressure?

<p>Container B has twice the pressure of container A. (D)</p> Signup and view all the answers

Two identical balloons are filled to the same volume, one with helium and one with nitrogen gas, both at 25°C and 1 atm. Which balloon contains a greater mass of gas?

<p>The balloon filled with nitrogen. (A)</p> Signup and view all the answers

According to Dalton's Law of Partial Pressures, what is the total pressure of a gas mixture composed of Gas A at 2 atm, Gas B at 3 atm, and Gas C at 5 atm?

<p>10 atm (D)</p> Signup and view all the answers

The combined gas law integrates Boyle's, Charles's, and Gay-Lussac's Laws. Which of the following expressions correctly represents the combined gas law?

<p>$P_1V_1/T_1 = P_2V_2/T_2$ (A)</p> Signup and view all the answers

A gas sample occupies 10.0 L at 273 K and 1 atm. If the amount of gas is doubled, but the conditions remain the same, what is the new volume?

<p>20.0 L (A)</p> Signup and view all the answers

According to Charles's Law, if the temperature of a gas increases while the pressure remains constant, what happens to the volume?

<p>The volume increases. (B)</p> Signup and view all the answers

Under what conditions does the ideal gas law most accurately approximate the behavior of real gases?

<p>Low pressure and high temperature (B)</p> Signup and view all the answers

A balloon contains 5 L of air at 27°C. If the temperature is increased to 227°C, what is the new volume, assuming the pressure remains constant and applying Charles's Law?

<p>10.3 L (B)</p> Signup and view all the answers

What is the critical difference between ideal gases and real gases in terms of molecular volume?

<p>Ideal gases have negligible molecular volume, while real gases have a small but non-zero molecular volume. (D)</p> Signup and view all the answers

What variables are kept constant when applying Avogadro's Law?

<p>Pressure and temperature (D)</p> Signup and view all the answers

What is the physical significance of the constant 'R' in the ideal gas law, and what does it represent?

<p>R is the gas constant, linking energy scales to temperature and pressure in gases. (C)</p> Signup and view all the answers

A container holds 2 moles of nitrogen gas at a volume of 10 L. If 3 more moles of nitrogen gas are added to the container at constant temperature and pressure, what is the new volume of the gas?

<p>25 L (C)</p> Signup and view all the answers

Gas A has a molar mass of 25 g/mol, and Gas B has a molar mass of 100 g/mol. According to Graham's law, how much faster or slower does Gas A effuse compared to Gas B under the same conditions?

<p>Gas A effuses 2 times faster than Gas B. (B)</p> Signup and view all the answers

A gas in a closed container initially has a pressure of 2 atm at a temperature of 300 K. If the temperature is increased to 450 K, what is the new pressure inside the container, assuming the volume remains constant?

<p>3.0 atm (D)</p> Signup and view all the answers

According to Gay-Lussac's Law, what property of a gas remains constant?

<p>Volume (A)</p> Signup and view all the answers

The pressure of a gas is 2 atm at 27°C in a closed container. If the temperature is increased to 227°C, what is the new pressure of the gas, applying Gay-Lussac's Law?

<p>3.33 atm (C)</p> Signup and view all the answers

A sample of gas is collected over water, resulting in a mixture of the desired gas and water vapor. If the total pressure of the collected gas is 760 torr and the vapor pressure of water at the given temperature is 26 torr, what is the partial pressure of the dry gas?

<p>734 torr (A)</p> Signup and view all the answers

What does Dalton's Law of Partial Pressures state regarding the total pressure of a gas mixture?

<p>It is equal to the sum of the partial pressures of each gas. (D)</p> Signup and view all the answers

Imagine a scenario where you have two identical balloons filled with different gases at the same temperature and pressure. Balloon A is filled with Helium (He), and Balloon B is filled with Carbon Dioxide ($CO_2$). Which balloon will deflate faster, and why?

<p>Balloon A (Helium) will deflate faster because Helium has a smaller molar mass and effuses more quickly. (C)</p> Signup and view all the answers

A container holds nitrogen, oxygen, and carbon dioxide gases. The partial pressures of nitrogen and oxygen are 30 kPa and 45 kPa, respectively, and the total pressure is 100 kPa. What is the partial pressure of carbon dioxide?

<p>25 kPa (A)</p> Signup and view all the answers

Consider a gas that initially occupies a volume $V_1$ at temperature $T_1$ and pressure $P_1$. If the volume is halved and the temperature is doubled, what is the new pressure $P_2$ in terms of $P_1$?

<p>$P_2 = 4P_1$ (C)</p> Signup and view all the answers

A sealed container contains a mixture of two ideal gases, A and B. The number of moles of gas A is twice the number of moles of gas B. If the total pressure in the container is $P_T$, what is the partial pressure of gas A?

<p>$P_A = 2P_T / 3$ (D)</p> Signup and view all the answers

Which statement is true regarding the density of gases compared to solids and liquids?

<p>Gases have lower densities than solids and liquids. (B)</p> Signup and view all the answers

According to the kinetic molecular theory, what is the nature of the collisions between gas particles?

<p>Kinetic energy is conserved; collisions are perfectly elastic. (B)</p> Signup and view all the answers

Which of the following units is commonly used to measure the volume of a gas?

<p>Liters (L) (A)</p> Signup and view all the answers

Which of the following relationships correctly describes Boyle's Law?

<p>Pressure and volume are inversely proportional at constant temperature. (C)</p> Signup and view all the answers

A hypothetical gas deviates significantly from ideal behavior under which conditions?

<p>High pressure and low temperature (C)</p> Signup and view all the answers

A container with a fixed amount of gas is heated. According to the gas laws, which of the following will most likely occur?

<p>The pressure of the gas will increase if the volume remains constant. (B)</p> Signup and view all the answers

A gas occupies a volume of V at a given temperature and pressure. If the number of moles of gas is doubled while keeping the temperature and pressure constant, what will the new volume be?

<p>2V (B)</p> Signup and view all the answers

A sealed container holds a mixture of nitrogen and oxygen. If additional nitrogen is added to the container, what happens to the partial pressure of oxygen, assuming constant temperature?

<p>The partial pressure of oxygen does not change. (C)</p> Signup and view all the answers

Considering Graham's Law of Effusion, which gas will effuse faster, hydrogen ($H_2$) or oxygen ($O_2$), under the same conditions of temperature and pressure?

<p>Hydrogen will effuse faster because it has a lower molar mass. (A)</p> Signup and view all the answers

Imagine a gas mixture where the root mean square velocity ($v_{rms}$) of its molecules is known. If the temperature of the gas is quadrupled (increased by a factor of 4), by what factor will the new root mean square velocity ($v_{rms,new}$) change?

<p>The new root mean square velocity will double. (D)</p> Signup and view all the answers

According to Charles's Law, which of the following relationships is correct when pressure is held constant?

<p>Volume is directly proportional to absolute temperature. (B)</p> Signup and view all the answers

If a gas occupies a volume of 20.0 L at a certain temperature and the number of moles is doubled while keeping the temperature and pressure constant, what is the new volume according to Avogadro's Law?

<p>40.0 L (A)</p> Signup and view all the answers

A rigid container holds a gas at 27°C with a pressure of 2 atm. If the temperature is increased to 327°C, what will the new pressure be, assuming the volume remains constant?

<p>4 atm (C)</p> Signup and view all the answers

Which of the following statements accurately describes Dalton's Law of Partial Pressures?

<p>The total pressure of a gas mixture is equal to the sum of the partial pressures of each gas. (D)</p> Signup and view all the answers

A container holds nitrogen gas at a pressure of 2 atm and oxygen gas at a pressure of 1 atm. If the total pressure in the container is 4 atm, what is the partial pressure of a third gas, argon, also present in the container?

<p>1 atm (B)</p> Signup and view all the answers

A gas initially occupies a volume of 5.0 L at 27°C. If the temperature is increased to 227°C while keeping the pressure constant, what is the new volume of the gas according to Charles's Law?

<p>8.33 L (D)</p> Signup and view all the answers

A gas has a volume of 10.0 L at a pressure of 200 kPa. If the pressure is changed to 400 kPa at the same temperature, what is the new volume?

<p>5.0 L (A)</p> Signup and view all the answers

Imagine a scenario where real gases deviate significantly from ideal behavior. Under which conditions would this deviation be most pronounced?

<p>Low temperature and high pressure (B)</p> Signup and view all the answers

What is the most accurate interpretation of 'K' in the context of Charles's Law, assuming Volume (V) and Temperature (T) are directly proportional?

<p>K is a proportionality constant specific to the amount of gas at a given pressure. (C)</p> Signup and view all the answers

Consider a gas mixture containing two gases, A and B, in a closed container at constant temperature. If gas A has twice the number of moles as gas B, and assuming ideal gas behavior, what can be accurately inferred about their partial pressures?

<p>The partial pressure of gas A is twice that of gas B. (A)</p> Signup and view all the answers

According to Dalton's Law of Partial Pressures, which factor directly influences the partial pressure of a gas within a mixture?

<p>The number of moles of that gas. (C)</p> Signup and view all the answers

The combined gas law is most applicable when which of the following parameters change?

<p>Pressure, volume, and temperature. (D)</p> Signup and view all the answers

Under what specific conditions do real gases deviate significantly from the ideal gas law?

<p>Low temperature and high pressure. (C)</p> Signup and view all the answers

Which of the following statements accurately describes the molecular volume assumption in the ideal gas model versus real gases?

<p>Ideal gases assume molecules occupy zero volume, while real gases account for a small, non-zero volume. (D)</p> Signup and view all the answers

According to Graham's Law, if gas A has a molar mass four times greater than that of gas B, how will their rates of effusion compare, assuming all other conditions are equal?

<p>Gas B will effuse twice as fast as gas A. (D)</p> Signup and view all the answers

If 2 moles of an ideal gas are in a 10 L container at 25°C, what is the pressure?

<p>4.89 atm (A)</p> Signup and view all the answers

A gas mixture contains helium, neon, and argon. If the total pressure is 1.5 atm, the partial pressure of helium is 0.4 atm, and the partial pressure of neon is 0.6 atm, what is the partial pressure of argon?

<p>0.5 atm (D)</p> Signup and view all the answers

Which modification to conditions would cause a real gas to behave more like an ideal gas?

<p>Decreasing the pressure and increasing the temperature. (B)</p> Signup and view all the answers

A container is filled with 28g of nitrogen gas ($N_2$) and 4g of helium gas (He). If the total pressure inside the container is 3 atm, what is the partial pressure of the helium gas?

<p>1.5 atm (D)</p> Signup and view all the answers

Imagine a scenario where a gas initially occupies a volume $V_1$ at pressure $P_1$ and temperature $T_1$. If the volume is compressed to $V_1/2$ ​and the temperature is increased to $2T_1$, what will be the new pressure, $P_2$​?

<p>$P_2=4P_1$ (B)</p> Signup and view all the answers

According to the ideal gas law, what parameters must you know to determine the number of moles of a gas in a closed container?

<p>Pressure, volume, and temperature (D)</p> Signup and view all the answers

Under what circumstance might $O_2$ and $H_2$ have approximately the same average speed?

<p>When $O_2$ is at a much higher temperature than $H_2$ (A)</p> Signup and view all the answers

What is the crucial distinction between real gases and ideal gases regarding intermolecular forces?

<p>Real gases experience intermolecular attractions and repulsions, while ideal gases have neither. (C)</p> Signup and view all the answers

A gas mixture contains nitrogen, oxygen, and carbon dioxide. If the total pressure is 100 kPa and the partial pressures of nitrogen and oxygen are 30 kPa and 50 kPa respectively, what is the partial pressure of carbon dioxide?

<p>20 kPa (C)</p> Signup and view all the answers

At standard temperature and pressure (STP), which of these gases has the slowest effusion rate?

<p>Carbon Dioxide ($CO_2$) (D)</p> Signup and view all the answers

When comparing real gases to ideal gases, which of the following statements is correct regarding their behavior at high pressures and low temperatures?

<p>Real gases deviate more from ideal behavior due to increased molecular interactions. (B)</p> Signup and view all the answers

Imagine two gas samples, one behaving ideally and the other as a real gas. If both are at the same temperature and pressure, what difference would be observed if the pressure is significantly increased?

<p>The volume of the real gas will decrease more than the ideal gas. (A)</p> Signup and view all the answers

How does a gas's behavior change as its pressure increases significantly while temperature is held constant?

<p>It becomes less ideal because the volume of the molecules becomes significant. (B)</p> Signup and view all the answers

In a mixture of gases that are not reacting, which factor directly determines the partial pressure exerted by each gas?

<p>The number of moles of each gas (A)</p> Signup and view all the answers

A container is split into two equal volumes by a partition. Side A contains 1 mole of $H_2$ gas, and Side B contains 1 mole of $O_2$ gas, both at the same temperature. If the partition is removed, what happens to the partial pressure of $H_2$?

<p>The partial pressure of $H_2$ halves. (A)</p> Signup and view all the answers

According to the kinetic molecular theory, which statement is FALSE regarding the behavior of gas particles?

<p>Gas particles experience significant attractive or repulsive forces. (A)</p> Signup and view all the answers

Which of the following units is NOT a standard SI unit used to describe the properties of gases?

<p>Liters (L) (A)</p> Signup and view all the answers

Which of the following gas laws describes the relationship between volume and temperature when pressure and the number of moles are held constant?

<p>Charles's Law (B)</p> Signup and view all the answers

A container of gas has a volume of 5.0 L at a pressure of 200 kPa. If the volume is changed isothermally to 2.5 L, what is the new pressure?

<p>400 kPa (C)</p> Signup and view all the answers

What assumption is made about the size of gas particles in the kinetic molecular theory?

<p>Gas particles are point masses with negligible volume. (C)</p> Signup and view all the answers

A gas sample is collected over water. The total pressure is 770 torr, and the vapor pressure of water at the given temperature is 20 torr. What is the partial pressure of the dry gas?

<p>750 torr (C)</p> Signup and view all the answers

Which of the following statements best describes the behavior of real gases at very high pressures and low temperatures?

<p>They exhibit stronger intermolecular attractions and smaller volumes than predicted by the ideal gas law. (D)</p> Signup and view all the answers

Consider two identical containers, one filled with hydrogen ($H_2$) and the other with oxygen ($O_2$), both at the same temperature and pressure. Which gas has a higher root mean square speed?

<p>Hydrogen ($H_2$) (B)</p> Signup and view all the answers

A sealed, rigid container is filled with a gas at a certain pressure. If the absolute temperature of the gas is doubled, and one-third of the gas escapes, what will happen to the pressure inside the container?

<p>The pressure will increase by a factor of 4/3. (A)</p> Signup and view all the answers

Two flasks of equal volume are connected by a stopcock. One flask contains gas A at 5 atm, and the other is evacuated. If the stopcock is opened, what is the final pressure in the system, assuming constant temperature?

<p>2.5 atm (B)</p> Signup and view all the answers

According to Charles's Law, if a gas occupies 2.00 L at 21.0 °C and is then compressed to 1.00 L, what formula should be used to calculate the new temperature?

<p>$V_1/T_1 = V_2/T_2$ (C)</p> Signup and view all the answers

If a gas in a container has a pressure of 1200 torr at 155°C, and the temperature drops to 0°C, which equation is required to find the new pressure?

<p>$P_1/T_1 = P_2/T_2$ (D)</p> Signup and view all the answers

A rigid metal container holds nitrogen gas at 20.0°C with a pressure of 3.00 atm. If the container is placed in an oven at 50.0°C, which formula will help determine the new pressure?

<p>$P_1/T_1 = P_2/T_2$ (C)</p> Signup and view all the answers

A gas initially occupies a volume of 12.3 L at a pressure of 40.0 mmHg. If the pressure is increased to 60.0 mmHg, what is the new volume, assuming constant temperature?

<p>8.20 L (D)</p> Signup and view all the answers

A 500 L sample of gas is collected at 10°C. If the gas is heated to 85°C while maintaining constant pressure, calculate the new volume.

<p>628 L (A)</p> Signup and view all the answers

A gas at 21.0 °C is compressed from 2.00 L to 1.00 L. What is the final temperature in Celsius?

<p>10.5 °C (D)</p> Signup and view all the answers

A gas has a pressure of 1200 torr at 155°C. What is the final pressure of the gas after the temperature has dropped to 0°C?

<p>765 torr (A)</p> Signup and view all the answers

A 30.0 L sample of nitrogen inside a rigid, metal container at 20.0 °C has a pressure of 3.00 atm. What is the pressure of the nitrogen after its temperature is increased to 50.0 °C?

<p>3.31 atm (C)</p> Signup and view all the answers

What fundamental principle underlies Dalton's Law regarding gas mixtures?

<p>The total pressure of a gas mixture is the sum of the partial pressures of each individual gas. (A)</p> Signup and view all the answers

A chemist introduces 0.00820 moles of $O_2$ into an evacuated 3.00 L flask at 25°C, then punctures a small hole in the flask, allowing gas to leak out. Gas volumes are measured at the same temperature. If the pressure in the flask is 8.40 mmHg after 10 minutes, how many moles of $O_2$ are still in the flask?

<p>Approximately 0.00043 moles (C)</p> Signup and view all the answers

Which statement accurately describes the arrangement and behavior of gas molecules?

<p>Gas molecules are randomly distributed, far apart, and have negligible attractive forces. (C)</p> Signup and view all the answers

According to the kinetic molecular theory, what is true about the average kinetic energy of gases at a given temperature?

<p>All gases have the same average kinetic energy at a given temperature. (A)</p> Signup and view all the answers

Which of the following is a standard unit for measuring pressure, a physical characteristic of gases?

<p>Atmosphere (atm) (A)</p> Signup and view all the answers

According to the provided content, which of the following gas laws relates pressure and volume at constant temperature?

<p>Boyle's Law (B)</p> Signup and view all the answers

A gas occupies a volume of 5.0 L at a pressure of 2.0 atm. If the pressure is increased to 4.0 atm while keeping the temperature constant, what is the new volume of the gas?

<p>2.5 L (C)</p> Signup and view all the answers

What is the key relationship described by Boyle's Law?

<p>Pressure and volume are inversely proportional at constant temperature. (A)</p> Signup and view all the answers

A gas occupies 22.4 L at standard temperature and pressure (STP). If the amount of gas is doubled, what is the new volume, assuming temperature and pressure remain constant?

<p>44.8 L (A)</p> Signup and view all the answers

A container holds a mixture of gases: nitrogen, oxygen, and carbon dioxide. If the total pressure is 760 torr and the partial pressures of nitrogen and oxygen are 300 torr and 200 torr, respectively, what is the partial pressure of carbon dioxide?

<p>260 torr (C)</p> Signup and view all the answers

A gas initially occupies a volume $V_1$ at a pressure $P_1$. If the volume is doubled and the number of moles is halved, what is the new pressure, $P_2$, in terms of $P_1$, assuming constant temperature?

<p>$P_2 = \frac{1}{4}P_1$ (A)</p> Signup and view all the answers

A chemist performs an experiment where a gas initially at 27°C and 1 atm is heated to 327°C and compressed to 2 atm. If the initial volume was 10 L, what is the final volume?

<p>15 L (A)</p> Signup and view all the answers

In Charles's Law, what condition must be met for the volume of a gas to vary directly with its absolute temperature?

<p>The pressure must be kept constant. (D)</p> Signup and view all the answers

According to Avogadro’s Law, what happens to the volume of a gas if the number of moles of the gas is doubled, while temperature and pressure are kept constant?

<p>The volume is doubled. (B)</p> Signup and view all the answers

If a container of gas at constant volume is heated, according to Gay-Lussac's Law, what property of the gas will increase?

<p>Pressure (A)</p> Signup and view all the answers

A gas initially occupies a volume of 10.0 L at 27°C. If the temperature is changed to 54°C while keeping the pressure constant, what is the new volume closest to?

<p>11.0 L (D)</p> Signup and view all the answers

A rigid container holds nitrogen gas at 2.0 atm and 300 K. If the temperature is increased to 450 K, what is the new pressure closest to?

<p>3.0 atm (D)</p> Signup and view all the answers

A balloon contains 5.0 L of air (considered as an ideal gas) at 27°C. If the temperature is increased to 227°C, what is the new volume of the balloon, assuming the pressure remains constant?

<p>8.33 L (A)</p> Signup and view all the answers

What is the final pressure of a gas that initially has a pressure of 800 torr at 27°C and is then heated to 227°C, assuming the volume remains constant?

<p>1067 torr (A)</p> Signup and view all the answers

A container holds nitrogen, oxygen, and carbon dioxide gases. If the total pressure inside the container is 100 kPa and the partial pressures of nitrogen and oxygen are 30 kPa and 50 kPa, respectively, what is the partial pressure of carbon dioxide?

<p>20 kPa (C)</p> Signup and view all the answers

What happens to the partial pressure of oxygen in a closed container holding a mixture of nitrogen and oxygen if the amount of nitrogen is doubled while maintaining constant temperature and volume, assuming ideal gas behavior?

<p>It remains the same. (D)</p> Signup and view all the answers

A gas initially occupies a volume $V_1$ at temperature $T_1$. If the temperature is quadrupled (increased by a factor of 4) and the pressure is doubled, what is the new volume $V_2$ in terms of $V_1$?

<p>$V_2 = 2V_1$ (B)</p> Signup and view all the answers

According to the combined gas law, which of the following relationships is correct?

<p>$\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}$ (B)</p> Signup and view all the answers

Which of the following best describes the behavior of real gases at very high pressures and low temperatures?

<p>Real gases deviate significantly from ideal behavior. (A)</p> Signup and view all the answers

What assumption does the ideal gas law make about the volume occupied by gas molecules?

<p>Gas molecules have a negligible volume. (B)</p> Signup and view all the answers

According to Graham's Law, which gas will have a higher rate of effusion, assuming both gases are at the same temperature and pressure?

<p>The gas with the lower molar mass. (B)</p> Signup and view all the answers

A container holds a mixture of nitrogen gas ($N_2$) and oxygen gas ($O_2$). The partial pressure of $N_2$ is 2 atm and the partial pressure of $O_2$ is 3 atm. What is the total pressure in the container?

<p>5 atm (C)</p> Signup and view all the answers

A gas is collected over water, and the total pressure is measured to be 770 torr. If the vapor pressure of water at the given temperature is 20 torr, what is the partial pressure of the dry gas?

<p>750 torr (D)</p> Signup and view all the answers

Which of the following statements about intermolecular forces is true regarding real gases?

<p>Intermolecular forces are significant and cause deviations from ideal behavior. (B)</p> Signup and view all the answers

Consider two gases, Gas A and Gas B, at the same temperature. If the molar mass of Gas A is 9 times that of Gas B, how do their average speeds compare?

<p>Gas B moves 3 times faster than Gas A. (C)</p> Signup and view all the answers

Under what conditions would a gas with significant intermolecular attractive forces most closely resemble an ideal gas?

<p>Low pressure and high temperature (D)</p> Signup and view all the answers

Imagine a scenario where you need to determine the molar mass of an unknown gas. You find that under the same experimental conditions, the unknown gas effuses at half the rate of helium (He). What is the approximate molar mass of the unknown gas?

<p>16 g/mol (C)</p> Signup and view all the answers

Which of the following is NOT a typical characteristic of gases under normal conditions, as described?

<p>Fixed shape and volume, maintaining their form regardless of the container. (D)</p> Signup and view all the answers

According to the kinetic molecular theory, what is the nature of energy transfer during collisions between gas particles?

<p>No kinetic energy is lost; collisions are perfectly elastic. (C)</p> Signup and view all the answers

Which of the following best describes the arrangement and behavior of gas molecules?

<p>Randomly distributed and in constant, rapid motion. (B)</p> Signup and view all the answers

What does Boyle's Law specifically describe regarding gases?

<p>The inverse relationship between pressure and volume at constant temperature. (D)</p> Signup and view all the answers

A container of gas has a volume of 5.0 L at a pressure of 200 kPa. If the volume is changed to 2.5 L while keeping the temperature constant, what is the new pressure?

<p>400 kPa (D)</p> Signup and view all the answers

A balloon contains 4 L of helium gas at 200 kPa. If the pressure is decreased to 100 kPa at constant temperature, what is the new volume of the balloon?

<p>8 L (A)</p> Signup and view all the answers

A gas has a volume of 5.0 L at a pressure of 2 atm. To what volume must the gas be changed to increase the pressure to 4 atm, assuming the temperature remains constant?

<p>2.5 L (C)</p> Signup and view all the answers

Under what conditions are gases most likely to behave ideally, adhering closely to the ideal gas law?

<p>Low pressure and high temperature (C)</p> Signup and view all the answers

A container initially holds a gas at a pressure $P_1$. If you compress the gas to one-third of its original volume while keeping the temperature constant, what is the new pressure in terms of $P_1$?

<p>$3P_1$ (B)</p> Signup and view all the answers

Imagine a gas that is isothermally compressed to half its original volume. If its initial pressure was 200 kPa, and given that real gases deviate from ideal behavior especially at high pressures, which of the following realistically estimates the final pressure?

<p>Slightly more than 400 kPa due to increased repulsive forces. (A)</p> Signup and view all the answers

According to Charles's Law, what variable must remain constant when examining the relationship between volume and absolute temperature?

<p>Pressure (B)</p> Signup and view all the answers

A balloon contains a gas with a volume of 10 L. According to Avogadro's Law, if the number of moles of gas is tripled while keeping the temperature and pressure constant, what will the new volume be?

<p>30 L (A)</p> Signup and view all the answers

Based on the Kinetic Molecular Theory and the gas laws presented, which of the following factors is most crucial in determining the pressure exerted by a gas in a closed container?

<p>The temperature of the gas (B)</p> Signup and view all the answers

A container holds a mixture of nitrogen ($N_2$) and oxygen ($O_2$) gas. If the total pressure inside the container is 150 kPa and the partial pressure of nitrogen is 90 kPa, what is the partial pressure of oxygen, according to Dalton's Law?

<p>60 kPa (D)</p> Signup and view all the answers

A gas is heated in a closed, rigid container. According to Gay-Lussac's Law, what property of the gas will increase?

<p>Pressure (B)</p> Signup and view all the answers

Consider two identical containers, one filled with hydrogen gas ($H_2$) and the other with oxygen gas ($O_2$) at the same temperature and pressure. According to Avogadro's Law, which statement is true?

<p>Both containers contain the same number of gas molecules. (D)</p> Signup and view all the answers

A sealed container initially contains nitrogen gas at 27°C and 1 atm. If the temperature is increased to 327°C, what will be the new pressure inside the container?

<p>2 atm (A)</p> Signup and view all the answers

What is fundamentally assumed to be negligible in the context of the ideal gas law, but is not in real gases, leading to deviations at high pressures and low temperatures?

<p>The volume occupied by the gas molecules and intermolecular forces. (D)</p> Signup and view all the answers

A chemist conducts an experiment involving a mixture of gases. The initial total pressure is recorded. Over time, one of the gases is completely used up in a chemical reaction, while others remain inert. According to Dalton’s Law of Partial Pressures, what happens to the total pressure in the container after the reaction?

<p>The total pressure decreases because one of the components no longer contributes to the total pressure. (B)</p> Signup and view all the answers

Consider three gases: helium (He), neon (Ne), and argon (Ar). The gases are mixed in a container at constant temperature. If the partial pressure of helium is twice that of neon, and the partial pressure of argon is three times that of helium, what percentage of the total pressure is due to argon?

<p>60% (D)</p> Signup and view all the answers

What is assumed about the volume of individual gas molecules in the ideal gas law?

<p>It is negligible compared to the volume of the container. (C)</p> Signup and view all the answers

Under what conditions is the behavior of a real gas most similar to that of an ideal gas?

<p>Low pressure and high temperature (B)</p> Signup and view all the answers

Which of the following factors is accounted for in real gases but not in ideal gases?

<p>Intermolecular forces (C)</p> Signup and view all the answers

According to Graham's Law, which gas will have a higher effusion rate if both gases are under the same conditions?

<p>The gas with the lower molar mass. (D)</p> Signup and view all the answers

A gas is collected over water, and the total pressure is measured. What must be done to find the pressure of the dry gas alone?

<p>Subtract the vapor pressure of water from the total pressure. (D)</p> Signup and view all the answers

Which of the following statements best describes the relationship between molar mass and the average speed of gas particles at a given temperature?

<p>Lighter gas molecules will on average move faster than heavier gas molecules. (A)</p> Signup and view all the answers

If you have two gases, A and B, with molar masses of 20 g/mol and 80 g/mol respectively, what is the ratio of their effusion rates ($Rate_A / Rate_B$) under the same conditions?

<p>2:1 (B)</p> Signup and view all the answers

A container holds oxygen gas at a certain temperature and pressure. If the mass of the oxygen gas is doubled while keeping the volume and temperature constant, what happens to the pressure inside the container?

<p>The pressure is doubled. (A)</p> Signup and view all the answers

Consider 1 mole of an ideal gas in a container at standard temperature and pressure (STP). If, hypothetically, the intermolecular forces could be instantaneously switched 'on,' causing the gas to behave as a real gas while maintaining constant external conditions, which of the following would most likely occur immediately?

<p>The pressure exerted by the gas on the container walls would decrease slightly. (D)</p> Signup and view all the answers

According to Dalton's Law of Partial Pressures, if a container holds nitrogen, oxygen, and helium, which statement is true?

<p>The total pressure is equal to the sum of the individual partial pressures. (D)</p> Signup and view all the answers

The combined gas law relates pressure, volume, and temperature. Which expression accurately represents this law?

<p>$P_1V_1/T_1 = P_2V_2/T_2$ (A)</p> Signup and view all the answers

Under what conditions do real gases deviate most from ideal behavior?

<p>Low temperature and high pressure (A)</p> Signup and view all the answers

Which of the following is generally true regarding the intermolecular forces in gases under normal conditions?

<p>They are negligible. (A)</p> Signup and view all the answers

According to the kinetic molecular theory, what is the condition of kinetic energy when gas particles collide?

<p>No kinetic energy is lost. (A)</p> Signup and view all the answers

According to the kinetic molecular theory, what is assumed about the volume of ideal gas molecules?

<p>The volume of the molecules is negligible compared to the volume of the container. (D)</p> Signup and view all the answers

Why do gases diffuse readily and fill up available space?

<p>Because their molecules are far apart and in constant, random motion. (B)</p> Signup and view all the answers

According to Graham's Law, which gas will effuse faster: nitrogen ($N_2$, molar mass = 28 g/mol) or methane ($CH_4$, molar mass = 16 g/mol), assuming identical conditions?

<p>Methane will effuse faster. (C)</p> Signup and view all the answers

Using the ideal gas law, calculate the pressure exerted by 0.500 mol of a gas in a 10.0 L container at 27°C.

<p>1.23 atm (D)</p> Signup and view all the answers

What is the relationship between volume and temperature as expressed in Charles's Law when the amount of gas and pressure are kept constant?

<p>Volume is directly proportional to temperature. (B)</p> Signup and view all the answers

A container initially holds a gas at 300 K. If the temperature is increased to 600 K while the volume remains constant, how does the pressure change according to Gay-Lussac's Law?

<p>The pressure doubles. (A)</p> Signup and view all the answers

A container holds 2 moles of helium gas and 3 moles of argon gas. If the total pressure is 10 atm, what is the partial pressure of helium?

<p>4 atm (C)</p> Signup and view all the answers

Which change in conditions would most likely cause a real gas to behave more ideally?

<p>Decreasing the pressure and increasing the temperature (B)</p> Signup and view all the answers

A 5.0 L container holds a certain amount of gas at a pressure of 2 atm. If the gas is allowed to expand to a volume of 20.0 L at constant temperature, what is the new pressure?

<p>0.5 atm (D)</p> Signup and view all the answers

Imagine a sealed, rigid container filled with a gas. If the Kelvin temperature of the gas doubles, what happens to the pressure inside the container?

<p>The pressure doubles. (B)</p> Signup and view all the answers

If you have two gases at the same temperature, but one gas has a higher molecular weight, what can you conclude about their average molecular speeds?

<p>The average speed of the lighter gas is higher. (A)</p> Signup and view all the answers

Assuming ideal gas behavior, which of the following gases would have the highest density at standard temperature and pressure (STP)?

<p>Carbon Dioxide ($CO_2$) (D)</p> Signup and view all the answers

Two identical containers at the same temperature contain two different gases: Gas A and Gas B. If Gas A has a molar mass four times greater than Gas B, what is the ratio of the effusion rate of Gas B to Gas A?

<p>2:1 (C)</p> Signup and view all the answers

A sealed, rigid container is filled with a gas. If the absolute temperature of the gas in the container is doubled, but a small leak develops allowing half of the gas molecules to escape, what will happen to the pressure inside the container?

<p>The pressure will remain the same. (C)</p> Signup and view all the answers

Consider two identical containers, one filled with hydrogen gas ($H_2$) and the other with oxygen gas ($O_2$), both at the same temperature and pressure. Predict the relationship between the number of moles of each gas in the containers.

<p>Both containers have the same number of moles. (D)</p> Signup and view all the answers

According to Charles's Law, which statement accurately describes the relationship between volume and temperature of a gas at constant pressure?

<p>Volume varies directly with the absolute temperature. (D)</p> Signup and view all the answers

A gas occupies 10.0 L at 27°C. If the temperature is changed to 54°C while maintaining constant pressure, what is the new volume closest to, according to Charles's Law?

<p>11.0 L (A)</p> Signup and view all the answers

A container of gas has a pressure of 3 atm at 25°C. If the temperature is increased to 100°C in a rigid container, what will be the new pressure, applying Gay-Lussac's Law?

<p>3.75 atm (D)</p> Signup and view all the answers

A balloon contains 5 L of gas at temperature $T_1$ and pressure $P_1$. If the amount of gas is doubled and the temperature and pressure remains constant, what is the new volume of the balloon, based on Avogadro's Law?

<p>10 L (C)</p> Signup and view all the answers

If a container holds a mixture of nitrogen and oxygen gas, according to Dalton's Law, what determines the total pressure of the gas mixture?

<p>The sum of the partial pressures of nitrogen and oxygen. (B)</p> Signup and view all the answers

A gas initially occupies a volume of 2.0 L at 27°C. If the temperature is increased to 327°C while maintaining constant pressure, what is the new volume?

<p>4.0 L (D)</p> Signup and view all the answers

A container holds 2 moles of gas at a certain volume and temperature. If 3 more moles of the same gas are added to the container while keeping temperature and pressure constant, what is the new volume in terms of the initial volume $V_1$?

<p>$2.5V_1$ (D)</p> Signup and view all the answers

A gas occupies a volume of 5.0 L at 20°C and a certain pressure. If the pressure is doubled and the temperature is increased to 40°C, what is the new volume, assuming ideal gas behavior?

<p>2.67 L (D)</p> Signup and view all the answers

A rigid container holds a gas at an initial pressure $P_1$ and temperature $T_1$. If the temperature is increased to $T_2$, what formula accurately describes the new pressure $P_2$ inside the container, assuming constant volume and applying Gay-Lussac's Law?

<p>$P_2 = P_1(T_2/T_1)$ (C)</p> Signup and view all the answers

Imagine a gas that strictly obeys the ideal gas law under all conditions. Consider a scenario where the number of moles, pressure, and volume are all doubled. What is the effect on the absolute temperature?

<p>The absolute temperature doubles. (A)</p> Signup and view all the answers

Which of the following is NOT a typical property of gases as described?

<p>Definite shape and volume (A)</p> Signup and view all the answers

According to the kinetic molecular theory, what is generally true about the volume occupied by gas particles themselves relative to the space between them?

<p>The volume of gas particles is negligible compared to the space between them (C)</p> Signup and view all the answers

Which of the following units is most appropriate for measuring the amount of a gas?

<p>Mole (mol) (B)</p> Signup and view all the answers

Which gas law describes the relationship where pressure and volume are inversely proportional when temperature and number of moles are kept constant?

<p>Boyle's Law (B)</p> Signup and view all the answers

A container holds a gas with an initial pressure of 3 atm and a volume of 6 L. If the volume is increased to 12 L while maintaining a constant temperature, what is the new pressure?

<p>1.5 atm (C)</p> Signup and view all the answers

According to the kinetic molecular theory, what happens to the average kinetic energy of gas particles if the temperature of the gas is increased?

<p>It increases (D)</p> Signup and view all the answers

A rigid container holds a gas at a constant volume. If the temperature of the gas is doubled, what happens to the pressure of the gas, assuming ideal behavior?

<p>The pressure doubles (A)</p> Signup and view all the answers

Two containers of equal volume contain different gases at the same temperature. Container A has a gas with lighter molecules, and Container B has a gas with heavier molecules. Which gas exerts greater pressure?

<p>They exert the same pressure (A)</p> Signup and view all the answers

Which of the following is a valid assumption of the kinetic molecular theory that directly explains why gases are easily compressible, assuming the gas is ideal?

<p>Gas particles are relatively far apart from each other. (D)</p> Signup and view all the answers

Consider a scenario where you have two identical containers, one filled with hydrogen gas ($H_2$) and the other with oxygen gas ($O_2$), both at the same temperature and pressure, yet the oxygen tank is observed to have almost 16 times as much mass as the hydrogen tank. Which explains this observation?

<p>Oxygen molecules have a much greater molar mass than hydrogen molecules. (D)</p> Signup and view all the answers

Under what conditions does the ideal gas law provide the least accurate predictions for real gases?

<p>Low temperatures and high pressures (A)</p> Signup and view all the answers

According to Dalton's Law of Partial Pressures, what determines the contribution of each gas to the total pressure of a gas mixture?

<p>The number of moles of each gas (A)</p> Signup and view all the answers

Which statement best describes the relationship between molecular mass and effusion rate, as described by Graham's Law?

<p>Effusion rate is inversely proportional to the square root of the molar mass. (B)</p> Signup and view all the answers

A container holds a mixture of nitrogen and oxygen gas. If the partial pressure of nitrogen is 2 atm and the total pressure is 3 atm, what is the partial pressure of the oxygen?

<p>1 atm (A)</p> Signup and view all the answers

A gas initially occupies a volume $V_1$. If the absolute temperature is doubled and the pressure is also doubled, what is the new volume, $V_2$, according to the combined gas law?

<p>$V_2 = V_1$ (C)</p> Signup and view all the answers

What is the correct relationship between pressure, volume, number of moles, and temperature as expressed by the ideal gas law?

<p>$PV = nRT$ (D)</p> Signup and view all the answers

What is the main assumption regarding molecular volume in the ideal gas law?

<p>Molecular volume is negligible compared to the volume of the container. (A)</p> Signup and view all the answers

A sample of gas is collected over water. The total pressure is measured to be 770 torr. If the vapor pressure of water at that temperature is 20 torr, what is the pressure of the dry gas?

<p>750 torr (D)</p> Signup and view all the answers

Two gases, helium (He) and methane ($CH_4$), are at the same temperature. Which gas has a higher average molecular speed, and by approximately what factor?

<p>Helium, by a factor of approximately 2. (A)</p> Signup and view all the answers

A 1.0-liter container holds 2.0 moles of an ideal gas at 27°C. If another 2.0 moles of the same gas are added to the container without changing the temperature, what will happen to the pressure?

<p>The pressure will double. (C)</p> Signup and view all the answers

According to Charles's Law, what remains constant when examining the relationship between volume and absolute temperature?

<p>Pressure (A)</p> Signup and view all the answers

What is the new volume when the pressure is increased to 60.0 mmHg, given an initial volume of 12.3 L at 40.0 mmHg, assuming constant temperature?

<p>8.20 L (C)</p> Signup and view all the answers

A gas sample occupies 500 L at 1.0 atm and 10°C. If the gas is heated to 85°C while the pressure remains constant, what is the new volume?

<p>637.25 L (A)</p> Signup and view all the answers

If 2.00 L of gas at 21.0 °C is compressed to 1.00 L, what is the decrease in temperature (in Celsius) assuming constant pressure?

<p>10.5 °C (C)</p> Signup and view all the answers

A gas has a pressure of 1200 torr at 155°C. What is the final pressure of the gas after the temperature drops to 0°C, assuming constant volume?

<p>765 torr (B)</p> Signup and view all the answers

A 30.0 L sample of nitrogen inside a rigid, metal container at 20.0 °C has a pressure of 3.00 atm. If the container is placed inside an oven at 50.0 °C, what is the new pressure of the nitrogen?

<p>3.31 atm (B)</p> Signup and view all the answers

Which law states that, at constant temperature and pressure, the volume of a gas is directly related to the number of moles?

<p>Avogadro’s Law (D)</p> Signup and view all the answers

A container holds three gases: nitrogen, oxygen, and an unknown gas. If the total pressure in the container is 10 atm, the partial pressure of nitrogen is 3 atm, and the partial pressure of oxygen is 2 atm, what is the partial pressure of the unknown gas?

<p>5 atm (C)</p> Signup and view all the answers

Imagine you have two identical containers. Container A holds 1 mole of helium gas, and container B holds 1 mole of nitrogen gas, both at the same temperature. Both gases are heated until the pressure in each container doubles. Which of the following statements is correct, assuming ideal gas behavior?

<p>The ratio of final to initial temperature is the same for both containers. (C)</p> Signup and view all the answers

Two containers, A and B, are filled with different gases. Container A has exactly twice the volume of Container B. They are connected by a valve. Both containers are maintained at same temperature and pressure. If both gases are allowed to completely mix, which statement correctly describes the resultant pressure relative to the original pressure of each individual container, assuming no chemical reaction?

<p>The new pressure will be the same as the original pressure. (D)</p> Signup and view all the answers

Which statement about the density of gases is most accurate under normal conditions?

<p>Gases generally have lower densities compared to solids and liquids. (C)</p> Signup and view all the answers

According to the kinetic molecular theory, what is the relationship between temperature and the average kinetic energy of gas particles?

<p>All gases have the same average kinetic energy at a given temperature. (D)</p> Signup and view all the answers

Which of the following is a standard unit for measuring the amount of a gas?

<p>Mole (mol) (C)</p> Signup and view all the answers

Which gas law relates the volume of a gas to the number of moles, assuming constant temperature and pressure?

<p>Avogadro's Law (A)</p> Signup and view all the answers

A container holds 2 moles of a gas at a certain volume and temperature. If the number of moles is increased to 4, while keeping the volume and temperature constant, what happens to the pressure?

<p>The pressure is doubled. (C)</p> Signup and view all the answers

A gas occupies a volume of 5 L at standard temperature and pressure (STP). If the amount of gas is tripled, what is the new volume, assuming the temperature and pressure remain at STP?

<p>15 L (C)</p> Signup and view all the answers

Which of the following assumptions is most likely to cause significant deviation from the ideal gas law at very high pressures?

<p>The volume of gas particles is negligible compared to the container volume. (D)</p> Signup and view all the answers

Two flasks of equal volume are connected by a stopcock. One flask contains gas A at 1 atm, and the other is empty. If the stopcock is opened, allowing the gases to mix, what is the final pressure in the system, assuming the temperature remains constant?

<p>0.5 atm (B)</p> Signup and view all the answers

A gas mixture consists of helium and argon. The partial pressure of helium is 200 torr, and the total pressure is 500 torr. What is the mole fraction of argon in the mixture?

<p>0.6 (C)</p> Signup and view all the answers

Consider two gases, X and Y, in separate containers at the same temperature. Gas X has a significantly lower molar mass than Gas Y. If a tiny hole is made in each container, which gas will escape faster, and why?

<p>Gas X, because it has a lower molar mass. (C)</p> Signup and view all the answers

According to Charles's Law ($V_1/T_1 = V_2/T_2$), which of the following statements is correct, assuming pressure remains constant?

<p>As the absolute temperature of a gas increases, the volume increases proportionally. (A)</p> Signup and view all the answers

A gas occupies a volume of 10.0 L at 27°C. If the temperature is changed to 327°C while maintaining constant pressure, what is the new volume of the gas, based on Charles's Law?

<p>20.0 L (C)</p> Signup and view all the answers

According to Avogadro's Law, what happens to the volume of a gas if the number of moles is doubled, while temperature and pressure are kept constant?

<p>The volume is doubled. (A)</p> Signup and view all the answers

If 2 moles of a gas occupy a volume of 5 L at a certain temperature and pressure, what volume will 4 moles of the gas occupy under the same conditions, according to Avogadro's Law?

<p>10 L (B)</p> Signup and view all the answers

According to Gay-Lussac's Law, if the temperature of a gas in a rigid container is doubled, what happens to the pressure of the gas?

<p>The pressure is doubled. (D)</p> Signup and view all the answers

According to Dalton's Law of Partial Pressures, what is the relationship between the total pressure of a gas mixture and the partial pressures of the individual components?

<p>The total pressure is the sum of the partial pressures. (D)</p> Signup and view all the answers

A container of gas has a pressure of 3 atm at a temperature of 27°C. If the temperature is increased to 327°C, what is the new pressure inside the container, assuming the volume remains constant and applying Gay-Lussac's Law?

<p>6 atm (A)</p> Signup and view all the answers

Which of the following statements best describes the conditions under which real gases behave most like ideal gases?

<p>Low pressure and high temperature (A)</p> Signup and view all the answers

Dalton's Law of Partial Pressures is most applicable in which scenario?

<p>Calculating the total pressure exerted by a mixture of non-reacting gases. (D)</p> Signup and view all the answers

A container holds nitrogen, oxygen, and carbon dioxide. If the partial pressures of nitrogen and oxygen are 20 kPa and 30 kPa, respectively, and the total pressure in the container is 100 kPa, what is the partial pressure of the carbon dioxide?

<p>50 kPa (A)</p> Signup and view all the answers

A 2.0 L sample of gas is collected over water at 25C. The total pressure is 760 torr, and the vapor pressure of water at 25C is 24 torr. What is the pressure of the dry gas?

<p>736 torr (B)</p> Signup and view all the answers

Imagine you have a gas at a pressure of $P_1$ and a volume of $V_1$. If the pressure is tripled and the volume is halved, what is the new pressure ($P_2$) in terms of the original pressure, assuming all other factors remain constant?

<p>$P_2 = 6P_1$ (C)</p> Signup and view all the answers

A container holds a gas at 700 mmHg and 200C. If the temperature is changed to 20C and the pressure becomes 30 atm, what equation should be used to find the new volume?

<p>$(P_1V_1)/T_1 = (P_2V_2)/T_2$ (B)</p> Signup and view all the answers

Consider two identical, rigid containers. Container A holds 2 moles of helium gas, and Container B holds 1 mole of oxygen gas. Both are at the same temperature. Which container has the higher total pressure, and why?

<p>Container A, because it contains more moles of gas. (D)</p> Signup and view all the answers

According to the kinetic molecular theory of gases, which statement is true regarding the volume occupied by gas molecules in an ideal gas?

<p>The volume of the gas molecules is negligible compared to the volume of the container. (C)</p> Signup and view all the answers

A gas is in a 5.00 L container at 17C. If there are 0.400 moles of the gas, what is the pressure in the container?

<p>7.53 atm (B)</p> Signup and view all the answers

A gas occupies a 37.0-liter vessel at 80.00 C and a pressure of 2.50 atm. How many moles of the gas are present?

<p>3.10 moles (D)</p> Signup and view all the answers

According to Graham's Law, which of the following factors primarily determines the rate of effusion of a gas?

<p>The molar mass of the gas (A)</p> Signup and view all the answers

If oxygen gas ($O_2$) has an average speed of 12.3 m/s at a certain temperature and pressure, what is the average speed of hydrogen molecules ($H_2$) at the same conditions?

<p>49.2 m/s (C)</p> Signup and view all the answers

A nitrogen molecule ($N_2$) travels at approximately 505 m/s at room temperature. If the temperature were significantly increased, how would this affect the average speed, and what is the underlying principle governing this change? (Assume ideal gas behavior)

<p>The speed would increase because higher temperatures impart greater kinetic energy; based on the Kinetic Molecular Theory (C)</p> Signup and view all the answers

Which statement accurately describes the molecular arrangement in gases under normal conditions?

<p>Molecules are randomly distributed and far apart. (C)</p> Signup and view all the answers

What is a characteristic property of gases regarding their shape and volume?

<p>Gases have no definite shape or volume and will fill any container. (C)</p> Signup and view all the answers

Which of the following is generally true regarding the densities of gases compared to solids and liquids?

<p>Gases have lower densities than both solids and liquids. (C)</p> Signup and view all the answers

According to the kinetic molecular theory, what is the nature of the forces between gas particles?

<p>Negligible attractive forces (A)</p> Signup and view all the answers

Which of the following factors primarily influences the high molecular velocities observed in gases?

<p>Low molecular mass (A)</p> Signup and view all the answers

What does Boyle's Law imply about the relationship between the pressure and volume of a gas at a constant temperature?

<p>Pressure and volume are inversely proportional. (D)</p> Signup and view all the answers

A container holds 5 L of a gas at a pressure of 2 atm. If the pressure is increased to 6 atm while keeping the temperature constant, what is the approximate new volume?

<p>1.67 L (D)</p> Signup and view all the answers

A balloon contains 4 L of a gas at 100 kPa. If the external pressure increases to 200 kPa at constant temperature, what will happen to the balloon's volume, assuming ideal behavior?

<p>The volume will decrease to 2 L. (B)</p> Signup and view all the answers

A gas initially occupies a volume of 20 L at a pressure of 5 atm. If the pressure is reduced to 1 atm at constant temperature, what is the new volume?

<p>100 L (B)</p> Signup and view all the answers

Imagine a scenario where the volume of a gas is reduced to one-third of its original volume while the temperature remains constant. What would happen to the average time between collisions of gas particles with the container walls?

<p>The average time between collisions would significantly decrease. (D)</p> Signup and view all the answers

Under what conditions does the equation PV=nRT provide the least accurate prediction for real gases?

<p>High pressure and low temperature (D)</p> Signup and view all the answers

If a gas is collected over water, what correction must be made to determine the actual pressure of the gas?

<p>Subtract the vapor pressure of water from the total pressure. (D)</p> Signup and view all the answers

A container holds a mixture of gases: nitrogen, oxygen, and an unknown gas. If the total pressure is 800 torr, the partial pressure of nitrogen is 250 torr, and the partial pressure of oxygen is 350 torr, what is the partial pressure of the unknown gas?

<p>200 torr (A)</p> Signup and view all the answers

According to Graham's Law, which molecule will have a higher average speed, assuming both are at the same temperature?

<p>A molecule with a molar mass of 16 g/mol (D)</p> Signup and view all the answers

What is the relationship between the rate of effusion of a gas and its molar mass, as described by Graham's Law?

<p>The rate of effusion is inversely proportional to the square root of the molar mass. (C)</p> Signup and view all the answers

If Gas A has a molar mass of 25 g/mol and Gas B has a molar mass of 100 g/mol, how much faster will Gas A effuse compared to Gas B, assuming all other conditions are identical?

<p>Gas A will effuse 2 times faster. (C)</p> Signup and view all the answers

Which statement best describes the behavior of real gases at very high pressures and low temperatures?

<p>They deviate significantly from the ideal gas law due to increased molecular volume and intermolecular forces. (B)</p> Signup and view all the answers

A 10.0 L sample of an ideal gas at 27°C and 1 atm is allowed to expand to 20.0 L and is simultaneously heated to 227°C. What is the new pressure?

<p>0.65 atm (B)</p> Signup and view all the answers

Consider two gases, helium (He) and nitrogen ($N_2$), at the same temperature. Which gas has a higher average molecular speed?

<p>Helium (He) (A)</p> Signup and view all the answers

You have a container with 1 mole of an ideal gas at standard temperature and pressure (STP). Suddenly, the intermolecular forces become significant due to a unique change in the gas's properties. Which of the following is least likely to occur immediately?

<p>The volume increases noticeably due to repulsive forces dominating. (B)</p> Signup and view all the answers

A container with a volume of 2.00 L at 21.0 °C is compressed to 1.00 L. Assuming Charles's Law applies, what is the new temperature in Celsius?

<p>10.5 °C (B)</p> Signup and view all the answers

According to Avogadro's Law, if the number of moles of a gas is doubled at constant temperature and pressure, what happens to the volume of the gas?

<p>The volume is doubled. (B)</p> Signup and view all the answers

A rigid container holds nitrogen gas at 20.0 °C with a pressure of 3.00 atm. If the container is heated to 50.0 °C, what is the new pressure of the nitrogen, assuming the volume remains constant?

<p>3.31 atm (D)</p> Signup and view all the answers

According to Gay-Lussac's Law, what relationship exists between pressure and temperature when the volume of the gas is kept constant?

<p>Pressure is directly proportional to the absolute temperature. (C)</p> Signup and view all the answers

A gas has a pressure of 1200 torr at 155°C. If the temperature is decreased to 0°C, what is the new pressure of the gas, assuming the volume remains constant?

<p>765 torr (C)</p> Signup and view all the answers

Avogadro's Law is expressed mathematically as $V_1/n_1 = V_2/n_2$. What do $n_1$ and $n_2$ represent in this equation?

<p>Initial and final number of moles, respectively. (D)</p> Signup and view all the answers

Which of the following statements best describes Dalton's Law of Partial Pressures?

<p>The total pressure in a container is the sum of the partial pressures that each gas would exert if it were alone in the container. (B)</p> Signup and view all the answers

A 500 L sample of gas at 1.0 atm and 10°C is heated to 85°C, while the pressure remains constant. Calculate the new volume of the gas.

<p>643 L (D)</p> Signup and view all the answers

A balloon initially occupies a volume $V_1$ at a temperature $T_1$. If the temperature is doubled to $2T_1$ while the pressure remains constant, what is the new volume $V_2$ in terms of $V_1$?

<p>$V_2 = 2V_1$ (D)</p> Signup and view all the answers

Which of the following statements is correct regarding the density of gases compared to solids and liquids under normal conditions?

<p>Gases have significantly lower densities. (A)</p> Signup and view all the answers

According to the kinetic molecular theory, what best describes the volume occupied by gas particles themselves relative to the space between them?

<p>Gas particles occupy a negligible amount of the total volume. (B)</p> Signup and view all the answers

Which of the following is the correct mathematical expression of Boyle's Law, where pressure is $P$ and volume is $V$, and $k$ is a constant?

<p>$PV = k$ (C)</p> Signup and view all the answers

A container of gas has a volume of 5.0 L and a pressure of 2.0 atm. If the volume is changed to 2.5 L at constant temperature, what is the new pressure?

<p>4.0 atm (B)</p> Signup and view all the answers

What describes the relationship between the pressure and volume of a gas at constant temperature according to Boyle's Law?

<p>Pressure and volume are inversely proportional. (D)</p> Signup and view all the answers

Which of the following statements best describes the nature of intermolecular forces in gases under normal conditions?

<p>Intermolecular forces are negligible. (D)</p> Signup and view all the answers

A rigid container holds a gas at an initial pressure of $P_1$. If the root mean square velocity of the gas molecules is doubled, what is the new pressure in terms of $P_1$?

<p>$4P_1$ (C)</p> Signup and view all the answers

Consider a gas initially at volume $V_1$ and pressure $P_1$. If the number of moles is doubled and the temperature is halved, what is the new volume if the pressure remains constant?

<p>$V_1$ (D)</p> Signup and view all the answers

Two containers of equal volume hold different gases at the same temperature. Container A holds gas X, and container B holds gas Y. If the mass of gas X is twice the mass of gas Y, and both gases behave ideally, what can be concluded about their pressures?

<p>The relationship between the pressures cannot be determined without knowing the molar masses of the gases. (B)</p> Signup and view all the answers

Imagine a scenario in which the behavior of real gases deviates significantly from that predicted by the ideal gas law. This deviation is most pronounced under conditions of...

<p>high pressure and low temperature. (D)</p> Signup and view all the answers

According to Dalton's Law of Partial Pressures, what determines the total pressure of a mixture of non-reacting gases?

<p>The sum of the partial pressures of each gas. (B)</p> Signup and view all the answers

Under what specific conditions is the ideal gas law most accurate for real gases?

<p>Low pressure and high temperature. (A)</p> Signup and view all the answers

Which of the following statements best describes the molecular volume of an ideal gas according to the kinetic molecular theory?

<p>It is negligibly small compared to the space between the molecules. (A)</p> Signup and view all the answers

A container holds 0.400 mol of a gas in a 5.00 L container at 17C. What is the pressure exerted by the gas?

<p>1.96 atm (C)</p> Signup and view all the answers

If gas A has an average speed of 12.3 m/s, what is most nearly the average speed of hydrogen gas ($H_2$) under the same conditions?

<p>49.2 m/s (C)</p> Signup and view all the answers

According to Graham's Law, which of the following factors most directly affects the rate of effusion of a gas?

<p>The molar mass of the gas. (A)</p> Signup and view all the answers

Which of the following statements accurately describes how intermolecular forces affect the behavior of real gases?

<p>They cause real gases to deviate from ideal behavior, especially at high pressures and low temperatures. (B)</p> Signup and view all the answers

A 200.0 mL sample of gas is collected over water at 27.0 C and 710.0 torr. What volume would the dry gas occupy at standard temperature and pressure (STP)?

<p>177 mL (B)</p> Signup and view all the answers

500.0 liters of a gas in a flexible-walled container are prepared at 700.0 mmHg and 200.0 C. The gas is placed into a tank under high pressure. When the tank cools to 20.0 C, the pressure of the gas is 30.0 atm. What is the volume of the gas?

<p>10.2 L (A)</p> Signup and view all the answers

According to Charles's Law, if the absolute temperature of a gas is doubled while the pressure remains constant, what happens to the volume?

<p>The volume doubles. (D)</p> Signup and view all the answers

A chemist synthesizes a novel gas and finds that it effuses at approximately 0.877 times the rate of nitrogen gas ($N_2$) under the same conditions. What is the approximate molar mass of this novel gas?

<p>38 g/mol (A)</p> Signup and view all the answers

A container with a volume of 5.0 L holds a gas at a certain pressure. If the pressure is changed from 40.0 mmHg to 60.0 mmHg while keeping the temperature constant, what is the new volume of the gas?

<p>3.33 L (B)</p> Signup and view all the answers

A gas occupies 10.0 L at 27°C. If the temperature is increased to 87°C while keeping the pressure constant, what is the new volume, based on Charles's Law?

<p>12.0 L (C)</p> Signup and view all the answers

A rigid container holds a gas at 2.0 atm and 200 K. If the temperature is increased to 600 K, what is the new pressure inside the container according to Gay-Lussac's Law?

<p>6.0 atm (B)</p> Signup and view all the answers

If 4.0 moles of a gas occupy a volume of 40.0 L, how many moles of gas would occupy 20.0 L under the same conditions of temperature and pressure, according to Avogadro's Law?

<p>2.0 moles (A)</p> Signup and view all the answers

A container holds 2 moles of gas A and 3 moles of gas B. If the total pressure is 10 atm, what is the partial pressure of gas A?

<p>4 atm (C)</p> Signup and view all the answers

The pressure of a gas is 800 torr at 127°C. What will the pressure be if the temperature is decreased to 27°C, assuming constant volume?

<p>600 torr (A)</p> Signup and view all the answers

A balloon contains n moles of gas and occupies V liters at a particular temperature and pressure. If the number of moles is doubled and the absolute temperature is halved, while keeping the pressure constant, what is the new volume of the balloon?

<p>V (A)</p> Signup and view all the answers

Consider a gas mixture containing nitrogen, oxygen, and argon. If the total pressure of the mixture is 150 kPa, and the partial pressures of nitrogen and oxygen are 60 kPa and 40 kPa respectively, what is the partial pressure of argon in the mixture?

<p>50 kPa (D)</p> Signup and view all the answers

Imagine a gas initially at volume $V_1$, pressure $P_1$, and temperature $T_1$. If the volume is then changed to $2V_1$ and the temperature to $4T_1$, what is the new pressure $P_2$ in terms of $P_1$?

<p>$2P_1$ (B)</p> Signup and view all the answers

Flashcards

Boyle's Law

At constant temperature, the volume of a gas is inversely proportional to its pressure.

Charles' Law

At constant pressure, the volume of a gas is directly proportional to its absolute temperature.

Charles' Law Equation

V1/T1 = V2/T2 describes the relationship between volume and temperature of a gas.

Avogadro's Law

At constant temperature and pressure, the volume of a gas is directly proportional to the number of moles.

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Avogadro's Law Equation

V1 / n1 = V2 / n2 expresses the relationship between volume and the number of moles

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Gay-Lussac's Law

At constant volume, the pressure of a gas is directly proportional to its absolute temperature.

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Gay-Lussac Law Equation

P1 / T1 = P2 / T2, at constant volume, relates pressure and temperature.

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Dalton's Law

The total pressure of a gas mixture is the sum of the partial pressures of each individual gas.

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Boyle's Law

Increasing pressure reduces volume.

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Charles' Law

Increasing temperature increases volume, at constant pressure.

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Gas Properties

Gases are mostly molecules with random distribution and large spaces between them.

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Kinetic Molecular Theory

Gas particles don't attract/repel. Their volume is mostly empty space. They're in constant random motion and have the same average kinetic energy at a given temperature.

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Gas Characteristics Units

Volume is measured in liters (L), pressure in atmospheres (atm), temperature in Kelvin (K), and amount in moles (mol).

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Boyle's Law Equation

P1V1 = P2V2

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Boyle's Law Sample Result

If a 10L balloon at 700 torr expands to 20L, the new pressure is 350 torr.

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Combined Gas Law

Combines Boyle's, Charles's, and Gay-Lussac's Laws: (P1V1)/T1 = (P2V2)/T2

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Ideal Gas Law

PV = nRT; relates pressure (P), volume (V), number of moles (n), ideal gas constant (R), and temperature (T).

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When do real gases behave ideally?

At very low pressures and high temperatures.

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Graham's Law

The rate of effusion of a gas is inversely proportional to the square root of its molar mass.

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Molecular speed vs. mass

More massive particles move at a slower velocity than less massive particles.

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Ideal Gas Law: Solving for pressure

Used to calculate pressure changes when the amount of gas and temperature are constant.

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Ideal Gas Law: Solving for moles

Used to calculate the number of moles of a gas when pressure, volume, and temperature are known.

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Ideal Gas Assumptions

Ideal gases have zero molecular volume and no molecular attractions or repulsions.

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Real Gas Characteristics

Real gases have small but nonzero molecular volume and experience molecular attractions and repulsions.

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Charles' Law Relationship

Volume varies directly with absolute temperature at constant pressure.

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Avogadro's Law Relationship

Volume is directly related to the number of moles at constant temperature and pressure.

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Gay-Lussac's Law Relationship

At constant volume, pressure and absolute temperature are directly related.

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Dalton's Law Definition

The total pressure is the sum of the partial pressures of each gas.

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What is partial pressure?

The pressure each gas would exert if it were alone.

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Dalton's Law Formula

P_total = P_1 + P_2 + ... + P_n

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Temperature Conversion

Convert Celsius to Kelvin by adding 273.15.

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Gases

Substances typically with low molecular mass, high molecular velocities readily diffuse and fill available space.

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Gas particle forces

Gas particles are considered to have no attractive or repulsive forces.

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Gas particle size

Gas particles are much smaller than the space between them; most of a gas's volume is empty space.

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Gas particle motion

Gas particles (atoms or molecules) are in constant random motion, and no kinetic energy is lost during collisions.

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Gas kinetic energy

At a given temperature, all gases have the same average kinetic energy.

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Gas volume and temperature

Volume is typically measured in liters (L), and temperature in Kelvin (K).

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Mole (n)

Used to represent the number of atoms or molecules in a sample (1 mol = 6.022x10^23 atoms or molecules).

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Dalton's Law of Partial Pressures

The total pressure exerted by a mixture of gases is the sum of the partial pressures of each individual gas.

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When do Real Gases Approximate Ideal Gases?

At very low pressures and high temperatures.

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Graham's Law of Effusion

The rate of effusion of a gas is inversely proportional to the square root of its molar mass.

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Gas Effusion Rate

Inversely proportional to the square root of its molar mass.

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Ideal Gas Equation?

PV=nRT

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Dry gas volume

The volume occupied by the 'dry' gas alone.

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Graham's Law Equation

Rate1/Rate2 = sqrt(M2/M1)

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Gas Shape/Volume

Gases have no fixed shape or volume, and will fill any container.

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Gas Compressibility

Gases can be compressed easily due to large spaces between molecules.

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Gas Density

Gases have lower densities than solids and liquids because the molecules are far apart.

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Intermolecular Forces in Gases

Attractive forces are weak in gases, allowing them to move freely.

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Gas Diffusion

Gas molecules move rapidly, allowing them to spread out and mix quickly.

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Boyle's Law Relationship

Pressure and volume are inversely related when temperature is constant.

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Pressure Conversions

Used to convert pressure values from torr to atmospheres or vice versa.

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Empty Space

Gases are mostly empty space

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Molecular Motion

Constant random movement

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Temperature Units

Temperature must be in Kelvin (K)

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Charles' Law Definition

Volume of a gas varies directly with the absolute temperature at constant pressure.

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Avogadro's Law Definition

At constant temperature and pressure, volume is directly related to the number of moles of gas.

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Dalton's Law Equation

P_total = P_1 + P_2 + ... + P_n.

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Avogadro's Law Formula

V = Kn; Volume is proportional to number of moles.

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Charles' Law Formula

V = KT; Volume is directly proportional to absolute Temperature.

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Gay-Lussac Law Formula

P=kT; Pressure is directly proportional to absolute Temperature.

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Ideal Gas Law Equation

PV=nRT, where P is pressure, V is volume, n is moles, R is the ideal gas constant, and T is temperature.

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Ideal Gas Conditions

Gases behave ideally at low pressures and high temperatures.

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Real Gas Behaviors

Real gases have nonzero molecular volume and experience intermolecular attractions and repulsions.

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Gas Makeup

Gases are mostly molecules, randomly distributed with large spaces between them.

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Gas Intermolecular Forces

Attractive forces between gas molecules are almost non-existent.

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Volume Unit

Volume is commonly measured in liters(L).

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Pressure Unit

Pressure is commonly measured in atmospheres(atm).

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Amount Unit

Amount of substance is measured in moles (mol).

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Charles’ law relationship

Varies directly with absolute temperature at constant pressure.

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Avogadro’s law relationship

Is directly related to the number of moles at constant temperature and pressure.

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Dalton’s law definition

States that the total pressure is the sum of the partial pressures of each gas.

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Temperature Conversion to Kelvin

Convert Celsius to Kelvin by adding 273.15.

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Partial Pressure

Each gas's pressure if it were alone in the container.

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Using Ideal Gas Law

Describes the relationship between pressure, volume, temperature, and amount of gas under different conditions.

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Differences: Real vs. Ideal Gases

Gases do not perfectly follow the ideal gas law, especially at high pressure and low temperatures.

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Molecular Mass and Speed

Molecules with less mass move at faster speeds than larger molecules at the same temperature.

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Applying Graham's Law

Used to compare effusion rates of two different gases given their molar masses.

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Gas Molecule Arrangement

Randomly distributed with negligible attractive forces.

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Gases Characteristics

Lack fixed shape/volume, filling any container; low density; easily compressed.

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Kinetic Molecular Theory postulates

Tiny particles in constant random motion, with elastic collisions (no kinetic energy lost).

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Key Gas Variables

Volume (V), pressure (P), temperature (T), and number of moles (n).

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Boyle's Law Behaviour

Pressure and volume are inversely related. If volume doubles, pressure halves.

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Boyle's Law Purpose

Used when gas amount and temperature are constant. P1V1 = P2V2.

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Solving Boyle's Law Problems

Convert torr to the same unit as the final pressure, and use Boyle's Law.

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Dalton's total pressure

Sum the individual partial pressures.

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Applying Charles' Law

Used to solve for the final volume when temperature changes.

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Ideal vs. Real Gases

Ideal gases follow the equation PV = nRT under all conditions; real gases deviate at high pressures and low temperatures.

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When Gases Act Ideal

Gases behave most ideally at low pressures and high temperatures.

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Real Gases

Gases have small but nonzero molecular volumes and experience intermolecular attractions and repulsions.

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Molecular Mass and Velocity

More massive gas particles move at a slower velocity than less massive gas particles at the same temperature.

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When using Combined Gas Laws?

Used when conditions (P, V, T) of a gas change.

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Partial volume

The volume the gas occupies in a mixture if it were alone.

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Gas Pressure

The force exerted by a gas per unit area.

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Gas molecule spacing

Particles are randomly distributed and far apart.

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Gas shape and volumne

No fixed shape or volume; fills any container.

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Intermolecular gas forces

Attractive forces between molecules are minimal.

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Low Molecular Mass

Substances that are gaseous at normal conditions often have low molecular mass.

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Gas Particle Attraction

Gas particles neither attract nor repel each other.

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Gas motion

Particles are in constant, random motion.

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Elasticity

No kinetic energy is lost in collisions.

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Avogadro's hypothesis

At constant temperature and pressure, doubling the amount of gas doubles the volume.

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Ideal Gas

Describes the behavior of gases at 'normal' conditions where intermolecular forces are negligible.

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Mixtures of Gases

The total pressure of a gas mixture is the sum of the partial pressures of each individual gas because gases mix homogeneously.

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Fraction of a Gas

The ratio of partial pressure to total pressure is the fraction of gas in the mixture, that is, how much of that gas is in the mixture compared to the contribution to the total pressure.

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Gas Composition & Distribution

Gases consist mostly of molecules in random motion with large spaces between them.

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Gas Container Filling

Gases fill any container due to the constant random motion of their particles.

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Physical Characteristics of Gases

Volume, pressure, temperature, and amount of gas.

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Partial Pressure Definition

Pressure the gas would exert if it occupied the volume alone.

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Characteristics of Gases

Gases lack a fixed shape and volume, filling any container; they have low density and are easily compressed.

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Pascal

The SI unit for Pressure

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Gas Molecular State

Exists as discrete molecules.

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Gas Movement

Particles are in constant, random motion and have the same average kinetic energy at a given temperature.

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Gas Volume

The empty space between the molecules

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Applying Gay-Lussac's Law

Used to solve for the final pressure of a gas when its temperature changes at constant volume.

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Applying Avogadro's Law

Used to solve for the final volume when the amount of gas change, assuming constant pressure and temperature.

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Charles Law Calculations

Convert Celsius to Kelvin by adding 273.15

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Applying Avogadro's Law

Used to solve for the relationship between number of moles and volume

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Gas particle mass and speed

More massive gas particles move at slower velocities than less massive gas particles.

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Combined Gas Law Usage

Used to calculate pressure, volume, temperature, or amount of gas when one or more properties change.

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Gas Pressure Definition

The force exerted by a gas per unit area.

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Gas Properties: Shape/Volume

Gases have no fixed shape or volume and fill any container.

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Gases Definition

Substances that exist as molecules, are randomly distributed and far apart.

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Gas Motion and Energy

Particles (atoms or molecules) in constant, random motion. Collisions don't lose kinetic energy.

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Gas Units

Volume (L), Pressure (atm), Temperature (K), Amount (mol).

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Boyle's law description.

Pressure and volume change inversely when gas amount and temperature are fixed.

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Gases and Diffusion

Gases easily mix and spread out to fill available space.

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Gas Volume Unit

Volume is typically measured in Liters (L).

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Molecular Gases

Substances that exist as individual molecules.

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Gas Molecule Distribution

The random distribution and large separation between gas molecules.

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Gas Densities

Gases have a much lower mass per volume than liquids and solids.

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Gas Volume (V)

The amount of space occupied by a gas.

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Gas Pressure (P)

The force exerted by a gas per unit area.

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Gas Temperature (T)

Temperature in Kelvin (K).

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Gas Mole (n)

The number of gas particles.

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Constant Temp PV Relationship

Pressure and volume are inversely related at a constant temperature where their product is often a constant.

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Avogadro’s Law

At constant temperature and pressure, the volume of a gas is directly related to the number of moles.

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Dalton’s Law

The total pressure equals the sum of individual partial pressures.

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Calculating volume with Charles' Law

Applying Charles' Law

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How does temperature affect volume?

A gas occupies at higher temperature at constant pressure

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Calculating pressure with Gay-Lussac's Law

Applying Gay-Lussacs's Law

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Moles of gas

Increasing or decreasing the number of gas molecules

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Problem solving: Gay-Lussac

Calculate final pressure after temperature change.

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