Gas Laws and Properties Quiz

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Questions and Answers

Which of the following is NOT a characteristic property of a gas?

  • Has a definite volume. (correct)
  • Exerts pressure on its surroundings.
  • Mixes with other gases in any proportion.
  • Takes the shape of its container.

What is the standard atmospheric pressure in Pascals (Pa)?

  • 101325 Pa (correct)
  • 1 Pa
  • 760 Pa
  • 10000 Pa

A barometer measures atmospheric pressure by which mechanism?

  • Measuring the density of the air.
  • Measuring the height of a column of mercury balanced by atmospheric pressure. (correct)
  • Measuring the electrical conductivity of the air.
  • Measuring the temperature of the air.

What does the ideal gas law assume about gas molecules?

<p>They do not interact with each other and occupy negligible volume. (A)</p> Signup and view all the answers

If standard atmospheric pressure is 760 mmHg, what is it in torr?

<p>760 torr (D)</p> Signup and view all the answers

What is the relationship between force and area in the definition of pressure?

<p>Pressure is the force divided by the area. (A)</p> Signup and view all the answers

Which of the following is true about gas density, compared to solids or liquids?

<p>Gases are much less dense than solids or liquids. (B)</p> Signup and view all the answers

Which of the following best describes how a manometer is used to measure pressure?

<p>It measures the difference in height of a liquid column between the gas and a reference pressure. (C)</p> Signup and view all the answers

Which of the following is NOT a characteristic of an ideal gas?

<p>They have an average kinetic energy that is independent of absolute temperature. (C)</p> Signup and view all the answers

What is the value of the universal gas constant (R) when using units of liters, atmospheres, kelvin, and moles?

<p>0.08206 L atm/(K mol) (A)</p> Signup and view all the answers

If the temperature of a fixed amount of gas is doubled, and the volume is kept constant, what will happen to the pressure according to the combined gas law?

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

What conditions define Standard Temperature and Pressure (STP)?

<p>P = 1 atm; T = 273 K (D)</p> Signup and view all the answers

If you have 2 moles of an ideal gas at STP, what volume does it occupy?

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

A gas occupies 10 L at 300 K. If the number of moles and pressure remains constant, what volume will the gas occupy if temperature is increased to $600 K$?

<p>20 L (B)</p> Signup and view all the answers

If the number of moles of a gas is doubled at constant temperature and pressure, what happens to the gas volume?

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

Which formula correctly represents the ideal gas law?

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

What is the molar mass of sodium chlorate (NaClO3)?

<p>106.44 g/mol (B)</p> Signup and view all the answers

In the reaction, how many moles of NaClO3 are required to produce one mole of O2?

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

Which formula represents the iron oxide product in the reaction?

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

What mass of $NaClO_3$ is required to produce 5.20 moles of $O_2$, according to the stoichiometry calculation provided?

<p>553 g (B)</p> Signup and view all the answers

If an oxygen generator produces 125 L of O2 at 1.00 atm and 20.0°C, approximately how many moles of O2 are produced? (R=0.0821 L atm/mol K)

<p>5.1 mol (A)</p> Signup and view all the answers

According to the ideal gas law, what happens to gas density as temperature increases if pressure is constant?

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

What is the primary purpose of blending the oxygen produced with cabin air?

<p>To provide 10-15 minutes of breathable air for passengers (A)</p> Signup and view all the answers

Given the provided densities at 15°C and 1 atm, which gas would provide the most buoyant force?

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

In the context of an airplane oxygen generator, which reactant is a solid?

<p>Sodium chlorate (NaClO3) (A)</p> Signup and view all the answers

Using the ideal gas law, what does 'R' represent?

<p>The gas constant (D)</p> Signup and view all the answers

Using the ideal gas law, how is density calculated?

<p>Density = $\frac{PM}{RT}$ (B)</p> Signup and view all the answers

Approximately how many grams of NaClO3 are estimated to be needed to produce 125 L of O2, based on the content?

<p>500 g (D)</p> Signup and view all the answers

If the density of air at STP is 1.29 g/L, and the density at 1.00 atm and 302 K is slightly less, what can be inferred about the relationship between temperature and density?

<p>Density is inversely proportional to temperature (B)</p> Signup and view all the answers

If you have 2 moles of NaClO3, how many moles of $O_2$ can be produced, based on provided stoichiometry calculation?

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

What is the approximate density of air at 1.00 atm and 302K, given its molar mass is 28.8 g/mol?

<p>1.17 g/L (A)</p> Signup and view all the answers

Which factor does not affect gas density, according to the content?

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

What is the relationship between the density of a gas and its temperature?

<p>Density is inversely proportional to temperature. (C)</p> Signup and view all the answers

If the average molar mass of air is 28.8 g/mol, and the density at STP is 1.29 g/L, what would be the expected density at a temperature higher than 273K?

<p>Less than 1.29 g/L (D)</p> Signup and view all the answers

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

<p>The total number of moles of gas particles present. (B)</p> Signup and view all the answers

What does the mole fraction of a gas in a mixture represent?

<p>The ratio of the number of moles of that gas to the total number of moles in the mixture. (B)</p> Signup and view all the answers

Which of the following is a key assumption of the Kinetic Molecular Theory (KMT)?

<p>Gas molecules move randomly and continuously. (C)</p> Signup and view all the answers

According to Boyle's Law, what happens to the pressure of a gas if the volume of the container is decreased at constant temperature?

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

What does the term 'urms' represent in the context of the average kinetic energy of gas molecules?

<p>The root-mean-square speed of the molecules. (D)</p> Signup and view all the answers

Which of the following is NOT an assumption of the Kinetic Molecular Theory?

<p>Gas molecules undergo both attractive and repulsive forces. (A)</p> Signup and view all the answers

Flashcards

Gases have no definite volume

A property of gases where they expand to fill the entire volume of their container. Think of air filling a balloon.

Gases are miscible

A property of matter where substances mix together in any proportion. This is why we can have air, which is a mix of gases.

Gas pressure

The force exerted by a gas on the walls of its container. Imagine air pushing on the inside of a tire.

Atmospheric pressure

The force exerted by the atmosphere on Earth's surface. It's the weight of the air above us.

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Barometer

A device used to measure atmospheric pressure. It measures the height of a mercury column to determine the pressure.

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Pressure of a gas

The force exerted by a gas on the surface of a liquid, measured using a device called a manometer.

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Ideal Gas Law

PV = nRT, a law that describes the relationship between pressure (P), volume (V), moles (n), temperature (T), and a constant called the Ideal Gas Constant (R) for ideal gases.

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Ideal Gas

The equation PV = nRT assumes that gas molecules have no volume and do not interact with each other. This is a theoretical concept used to simplify gas behavior calculations.

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Gas Density

The mass of a substance per unit volume, often expressed in g/L for gases.

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Buoyancy

The upward force exerted on an object immersed in a fluid (gas or liquid), caused by the difference in pressure between the top and bottom of the object.

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Charles's Law: Density and Temperature

The relationship between gas density and temperature, stating that density decreases as temperature increases.

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Molar Volume of a Gas

The volume occupied by one mole of a gas at standard temperature and pressure (STP).

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Stoichiometry

The calculation of the amount of reactants and products involved in a chemical reaction, using the mole concept and balanced chemical equations.

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Oxygen Generation Reaction

A chemical reaction that involves the decomposition of sodium chlorate (NaClO3) with iron (Fe) to produce oxygen gas (O2) and solid sodium chloride (NaCl) plus iron oxide (FeO), commonly used in airplane oxygen generators.

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Gas Volume Dependence

The volume of a gas is dependent on pressure and temperature. This relationship can be expressed by the ideal gas law.

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Moles and Mass Relationship

The number of moles of a substance is directly proportional to its mass and inversely proportional to its molar mass.

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Stoichiometric Ratios

The stoichiometric coefficients in a balanced chemical equation represent the molar ratios of reactants and products.

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Molar Ratio

A conversion factor linking moles of one substance to moles of another substance based on the stoichiometric coefficients in a balanced chemical equation.

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Theoretical Yield

A calculation that determines the amount of product that can be formed from a given amount of reactant, based on the stoichiometric relationships in a balanced chemical equation.

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Actual Yield

The amount of product actually obtained from a chemical reaction, which is often less than the theoretical yield due to factors like incomplete reactions or side reactions.

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Gas Density and Temperature

A gas's density is inversely proportional to its temperature. Higher temperatures = less dense gas.

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Dalton's Law of Partial Pressures

The sum of the partial pressures of each gas within a mixture equals the total pressure.

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Mole Fraction

The ratio of the number of moles of a component in a mixture to the total number of moles.

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Partial Pressure and Moles

Pressure is proportional to the number of moles of gas. More moles = Higher pressure.

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Collecting Gas Over Water

A gas collected over water contains both the target gas and water vapor.

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Kinetic Molecular Theory

A theory that explains the behavior of gases based on the movement and properties of gas molecules.

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Boyle's Law

A gas law that describes the relationship between pressure and volume. Decreasing volume increase pressure.

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Avogadro's Law

A gas law that describes the relationship between volume and moles. More moles, more volume.

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What is the ideal gas law?

The ideal gas law describes the relationship between pressure, volume, moles, and temperature of an ideal gas. It is represented by the equation PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.

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What is the value of the ideal gas constant (R)?

The ideal gas constant is a proportionality constant used in the ideal gas law. It relates the energy units to the units of temperature, volume, and pressure. Its value is 0.08206 L atm/(K mol).

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How is the ideal gas law derived?

The combination of Boyle's Law (PV = constant), Charles's Law (V/T = constant), and Avogadro's Law (V/n = constant) results in the ideal gas law. This means the ideal gas law encompasses the relationships between pressure, volume, temperature, and the number of moles.

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What is STP?

STP is the standard temperature and pressure, a reference point for gas measurements. It is defined as 1 atm pressure and 273 K (0 °C) temperature.

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What is the molar volume of an ideal gas at STP?

Molar volume is the volume occupied by one mole of an ideal gas at STP. It is a constant value, approximately 22.4 L for most gases.

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How does the ideal gas law help with stoichiometry calculations?

Gas stoichiometry involves using the mole ratios from balanced chemical equations to relate the amounts of reactants and/or products in gaseous reactions. The ideal gas law can be used to convert between moles of gas and its volume, pressure, and temperature.

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What is the defining characteristic of a gas that sets it apart from a solid or liquid?

Gases have no definite volume and expand to fill the container they are in. This is because gas molecules have a large amount of space between them and move freely.

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What are the limitations of the ideal gas model?

The ideal gas model assumes that gas molecules have no volume and do not interact with each other. This is a simplification used to make calculations easier, but it is not completely accurate for real gases.

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Study Notes

Introduction to Gases

  • This chapter outlines the properties of gases, focusing on the air we breathe.
  • The chapter covers topics from the properties of a gas, ideal gas law, stoichiometry calculations and gas density.
  • Various types of pressure units and their conversions are explained.

Properties of a Gas

  • Gases do not have a definite shape or volume.
  • Gases uniformly fill any container.
  • Gases exert pressure on their surroundings.
  • Gas volume changes with temperature and pressure.
  • Gases mix in any proportion (miscible).
  • Gases have much lower density than liquids or solids.

Pressure

  • Pressure is the ratio of force to surface area.
  • Atmospheric pressure is the force exerted by the gases surrounding Earth on its surface.
  • SI unit of pressure is Pascal (Pa).
  • 1 standard atmosphere (atm) = 101,325 Pa
  • 1 atm = 760 mmHg = 760 torr

Converting Pressure Units

  • A table provides conversions between different pressure units (atm, mmHg, torr, Pa, kPa, bar, mbar, psi, inches of mercury).

Elevation and Atmospheric Pressure

  • Atmospheric pressure decreases with increasing elevation. (Graph displays this relationship)

Measurement of Pressure

  • A barometer measures atmospheric pressure.
  • A barometer's operation relies on the balance between gravity pulling mercury down and atmospheric pressure pushing it up in an evacuated tube.
  • A manometer measures gas pressures; it involves a balance of forces based on the height of the mercury column .

Ideal Gas Law

  • The ideal gas law is PV = nRT.
  • R is the universal gas constant (0.08206 L•atm/mol•K).
  • P is pressure in atm.
  • V is volume in liters.
  • n is number of moles.
  • T is temperature in Kelvin.
  • The ideal gas law allows calculating gas properties when more than one variable changes.

Combined Gas Law

  • Boyle's Law: PV = constant
  • Charles's Law: V/T = constant
  • Avogadro's Law: V/n = constant
  • Combining these laws gives PV/nT = constant (R)
  • If n is constant, the combined gas law is P₁V₁/T₁ = P₂V₂/T₂

Reference Points for Gases

  • Standard Temperature and Pressure (STP):
    • P = 1 atm, T = 273 K (0.0°C)
  • Molar Volume:
    • Volume occupied by one mole of an ideal gas at STP = 22.4 L

Stoichiometry Calculations: Gases

  • Stoichiometry calculations for gases depend on mole ratios of reactants and products.
  • Moles of a gas can be calculated from the ideal gas law if pressure, volume, and temperature are known (n = PV/RT).

Gas Density

  • Density can be calculated from molar mass (M) and molar volume (V/n).
  • The formula for density is d = m/V = PM/RT
  • When using this formula, use the units of pressure in atm and temperature in Kelvin.
  • Density is often expressed in grams per liter (g/L)

Buoyancy: Gas Densities

  • Buoyancy depends on differences in gas densities.
  • Gases with lower densities than air are buoyant. (e.g., Helium)
  • Gases with higher densities than air are not buoyant. (e.g., Carbon Dioxide)
  • Density is affected by molar mass and temperature.

Dalton's Law of Partial Pressures

  • For a mixture of gases in a container, the total pressure is the sum of the partial pressures of the individual gases: Ptotal = P₁ + P₂ + ...
  • Pressure depends on the total number of moles, not the identity of the gases.

Mole Fraction and Partial Pressure

  • Mole fraction (X) is the ratio of the moles of a component (nx) to the total moles (ntotal) in a mixture: Xx = nx/ ntotal
  • Partial pressure (Px) of a component is given by: Px =XxPtotal

Collecting a Gas over Water

  • When gases are collected over water, the collected pressure is the sum of the partial pressure of the collected gas and the partial pressure of water vapor (Ptotal = Pgas + PH₂O)

Kinetic Molecular Theory (KMT)

  • Gas molecules have tiny volumes compared to the container volume.
  • Gas molecules move constantly and randomly.
  • Average kinetic energy is proportional to absolute temperature.
  • Collisions between gas molecules and container walls are elastic.
  • Gas molecules act independently.

Real vs. Ideal Gases

  • Ideal gas assumptions are valid at STP but not at high pressure.
  • At high pressures, gas volume and attractive forces between gas molecules become significant
  • Real gas behavior deviates from the ideal gas law at high pressures and low temperatures.

Real Gases

  • Van der Waals equation corrects for the deviations of real gases from ideal gas behavior.
  • The equation for the van der Waals equation is (P + n²a/V²)(V - nb) = nRT, where:
    • a compensates for intermolecular attractions
    • b compensates for the volume of gas molecules

Corrections to the Ideal Gas Law

  • A table provides van der Waals constants for various gases.

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