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Questions and Answers
Under which specific conditions does the ideal gas law most accurately approximate the behavior of real gases, and what quantum mechanical considerations justify these deviations?
Under which specific conditions does the ideal gas law most accurately approximate the behavior of real gases, and what quantum mechanical considerations justify these deviations?
- High density and strong gravitational fields, which minimize the mean free path and maximize quantum entanglement between particles.
- Low pressure and high temperature, as the gas particles' kinetic energy is significantly greater than intermolecular forces, leading to decreased quantum mechanical effects such as tunneling. (correct)
- Standard Temperature and Pressure (STP), where quantum corrections are negligible and the gas behavior is purely classical.
- High pressure and low temperature, due to increased intermolecular forces and decreased kinetic energy overcoming repulsive interactions.
What are the implications of the Maxwell-Boltzmann distribution on chemical reaction rates, particularly regarding reactants possessing energy significantly above the average kinetic energy at a given temperature?
What are the implications of the Maxwell-Boltzmann distribution on chemical reaction rates, particularly regarding reactants possessing energy significantly above the average kinetic energy at a given temperature?
- Only reactants with kinetic energy equal to the activation energy can react; any excess energy is immediately dissipated as heat.
- Reactants with energy significantly above the average have a disproportionately higher probability of overcoming the activation energy barrier, leading to an exponential increase in reaction rate. (correct)
- The rate of reaction is solely determined by the average kinetic energy; reactants above this threshold do not influence the reaction rate.
- The rate of reaction increases linearly with the number of molecules possessing the exact average kinetic energy, indicative of the most probable reaction pathway.
In the context of non-ideal gases, how does the virial equation of state account for deviations from ideality, and what physical phenomena do its second and third virial coefficients represent?
In the context of non-ideal gases, how does the virial equation of state account for deviations from ideality, and what physical phenomena do its second and third virial coefficients represent?
- The virial equation employs empirical constants based on experimental data, without reflecting specific molecular properties.
- The second virial coefficient addresses only the excluded volume effects, while higher-order coefficients correct for relativistic momentum changes.
- The second virial coefficient accounts for binary interactions, the third for ternary interactions, collectively adjusting for volume and intermolecular forces. (correct)
- The virial equation only uses temperature corrections to adjust ideal gas behavior, neglecting molecular interactions.
What is the underlying microscopic explanation for why diffusion occurs from areas of high concentration to low concentration, and how does Fick's first law quantitatively describe this phenomenon?
What is the underlying microscopic explanation for why diffusion occurs from areas of high concentration to low concentration, and how does Fick's first law quantitatively describe this phenomenon?
Assuming a rigid, adiabatic container containing an ideal gas, what would be the precise thermodynamic consequences of instantaneously and isothermally doubling the number of gas molecules, including considerations of entropy and chemical potential?
Assuming a rigid, adiabatic container containing an ideal gas, what would be the precise thermodynamic consequences of instantaneously and isothermally doubling the number of gas molecules, including considerations of entropy and chemical potential?
How does the process of expansion relate to the distribution of molecular velocities within the gas, and under what conditions would the expansion approach the theoretical limits described by an adiabatic free expansion (Joule expansion)?
How does the process of expansion relate to the distribution of molecular velocities within the gas, and under what conditions would the expansion approach the theoretical limits described by an adiabatic free expansion (Joule expansion)?
What chemical equilibrium shifts can thermodynamically affect the system such that Le Chatelier's principle predicts a specific response to pressure changes in gaseous systems, and how do these shifts correlate with changes in the Gibbs Free Energy?
What chemical equilibrium shifts can thermodynamically affect the system such that Le Chatelier's principle predicts a specific response to pressure changes in gaseous systems, and how do these shifts correlate with changes in the Gibbs Free Energy?
In the van der Waals equation of state, what accounts for the deviation from ideal gas behavior, and what are the implications of these parameters on the predicted critical point ($P_c, V_c, T_c$) of a real gas?
In the van der Waals equation of state, what accounts for the deviation from ideal gas behavior, and what are the implications of these parameters on the predicted critical point ($P_c, V_c, T_c$) of a real gas?
How do the compressibility factor ($Z$) deviate from unity as pressure increases for different real gases, and what molecular interactions are primarily responsible for these specific variances?
How do the compressibility factor ($Z$) deviate from unity as pressure increases for different real gases, and what molecular interactions are primarily responsible for these specific variances?
Which process spreads out spontaneously to uniformly occupy a space?
Which process spreads out spontaneously to uniformly occupy a space?
Which of the following is not a basic assumption of the kinetic theory?
Which of the following is not a basic assumption of the kinetic theory?
Which of the following properties does not describe a gas?
Which of the following properties does not describe a gas?
Which of the following will not describe the pressure of a gas?
Which of the following will not describe the pressure of a gas?
Which of the following illustrates the mathematical statement of Charles' law?
Which of the following illustrates the mathematical statement of Charles' law?
Which does not signify normal atmospheric pressure?
Which does not signify normal atmospheric pressure?
Given the equation $\frac{V_1P_1}{T_1} = \frac{V_2P_2}{T_2}$, which of the following is the correct formula for $T_2$, final temperature?
Given the equation $\frac{V_1P_1}{T_1} = \frac{V_2P_2}{T_2}$, which of the following is the correct formula for $T_2$, final temperature?
Why does pressure build up in a tire on a hot day? (Assume that the volume is constant.)
Why does pressure build up in a tire on a hot day? (Assume that the volume is constant.)
Which of the following indicates the amount of gas particles?
Which of the following indicates the amount of gas particles?
The Helium gas in a balloon has a pressure of 735 mmHg. Which of the units of pressure is correct?
The Helium gas in a balloon has a pressure of 735 mmHg. Which of the units of pressure is correct?
Hydrogen in palladium metal is an example of solid solution, which is solute from the given?
Hydrogen in palladium metal is an example of solid solution, which is solute from the given?
In liquid – liquid solutions and in gases, which term is used?
In liquid – liquid solutions and in gases, which term is used?
How can you describe oil and water?
How can you describe oil and water?
At STP, what is the constant temperature?
At STP, what is the constant temperature?
Which of the following is not a solution?
Which of the following is not a solution?
Which of the following defined as the number of moles of component divided by the total moles of all the components?
Which of the following defined as the number of moles of component divided by the total moles of all the components?
Aerosols can be dangerous when they are heated because they can explode. Suppose a can of insecticide with a pressure of 4.0 atm at room (28°C) is thrown into a fire. If the temperature of the gas inside the can reaches 400 °C, what will be its pressure?
Aerosols can be dangerous when they are heated because they can explode. Suppose a can of insecticide with a pressure of 4.0 atm at room (28°C) is thrown into a fire. If the temperature of the gas inside the can reaches 400 °C, what will be its pressure?
What pressure must be applied to 225 mL of gas at 1 atm to reduce its volume to 100 mL?
What pressure must be applied to 225 mL of gas at 1 atm to reduce its volume to 100 mL?
A 2.50 L sample of dry air in a cylinder exerts a pressure of 3.00 atm at 25 °C. Without changing the temperature, a piston is moved until the pressure in the cylinder is reduced to 1.00 atm. What is the final volume of the gas?
A 2.50 L sample of dry air in a cylinder exerts a pressure of 3.00 atm at 25 °C. Without changing the temperature, a piston is moved until the pressure in the cylinder is reduced to 1.00 atm. What is the final volume of the gas?
Flashcards
What is diffusion?
What is diffusion?
The spreading of molecules to uniformly fill a space due to kinetic energy.
Kinetic theory: Molecular Motion
Kinetic theory: Molecular Motion
The assumption that molecules are in constant, random motion in straight lines.
Kinetic theory: Elastic Collisions
Kinetic theory: Elastic Collisions
The assumption that collisions between gas molecules and container walls conserve kinetic energy.
What is ductility?
What is ductility?
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Gas Pressure indicators
Gas Pressure indicators
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Charles's Law
Charles's Law
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Normal atmospheric pressure
Normal atmospheric pressure
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Final Temperature Formula
Final Temperature Formula
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Effect of increasing temperature
Effect of increasing temperature
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Measuring Gas Amount
Measuring Gas Amount
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What's the Correct Units of Pressure?
What's the Correct Units of Pressure?
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Palladium Solubility
Palladium Solubility
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What's Miscibility?
What's Miscibility?
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Are Oil and Water Miscible?
Are Oil and Water Miscible?
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STP Temperature
STP Temperature
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Mayonnaise?
Mayonnaise?
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What is a Mole Fraction?
What is a Mole Fraction?
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Pressure in Aerosol Can
Pressure in Aerosol Can
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New Pressure
New Pressure
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What is the Final Volume of Gas?
What is the Final Volume of Gas?
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Study Notes
- Diffusion is the process where a substance spreads out spontaneously to uniformly occupy a space.
- A basic assumption of the kinetic theory is that gases consist of molecules in constant motion in straight-line paths.
- Another assumption of the kinetic theory is that collisions between gas molecules and the container walls are perfectly elastic.
- Furthermore, the temperature of a gas is proportional to the average kinetic energy of its molecules.
- A property that does not describe a gas is ductility.
- The volume of a container and the number of gas particles describe the pressure of a gas.
- 750 torr and 3.00 atm describe the pressure of a gas.
- Charles' law is mathematically stated as V1 / T1 = V2 / T2.
- 760 mmHg, 760 torr, and 76 cm Hg signify normal atmospheric pressure.
- 2 atm does not signify normal atmospheric pressure.
- Given the equation V1P1 / T1 = V2P2 / T2, the formula for final temperature (T2) is T2 = P2V2T1 / P1V1.
- If temperature increases in a tire, kinetic energy increases, and pressure also increases.
- The amount of gas particles is indicated by 4.00 moles of Helium (He).
- For Helium gas in a balloon with a pressure of 735 mmHg, the correct unit of pressure is 0.967 atm.
- In the example of hydrogen in palladium metal forming a solid solution, hydrogen is the solute.
- In liquid-liquid solutions and in gases, miscibility is the term used.
- Oil and water can be described as immiscible.
- At Standard Temperature and Pressure (STP), the constant temperature is 273 K.
- Mayonnaise is not a solution.
- Mole fraction is defined as the number of moles of a component divided by the total moles of all components.
- For a can of insecticide with an initial pressure of 4.0 atm at room temperature (28°C) thrown into a fire, where the gas inside reaches 400°C, the final pressure will be 8.9 atm.
- To reduce 225 mL of gas at 1 atm to 100 mL, a pressure of 2.25 atm must be applied.
- A 2.50 L sample of dry air at 3.00 atm and 25°C, with the pressure reduced to 1.00 atm without changing the temperature, will have a final volume of 7.50 L.
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