Question 1

273 cm3 of an ideal gas is at 0°C.It is heated at constant pressure to 10°C.It will now occupy:

Accepted Answer

A) 263 cm3 
B) 273 cm3 
C) 278 cm3 
D) 283 cm3 
E) 293 cm3 
A) 263 cm3 
B) 273 cm3 
C) 278 cm3 
D) 283 cm3 
E) 293 cm3 D

Question 2

If the molecules in a tank of hydrogen have the same rms speed as the molecules in a tank of oxygen, we may be sure that:

Accepted Answer

A) the pressures are the same 
B) the hydrogen is at the higher temperature 
C) the hydrogen is at the greater pressure 
D) the temperatures are the same 
E) the oxygen is at the higher temperature 
A) the pressures are the same 
B) the hydrogen is at the higher temperature 
C) the hydrogen is at the greater pressure 
D) the temperatures are the same 
E) the oxygen is at the higher temperature E

Question 3

A gas is confined to a cylindrical container of radius 1 cm and length 1 m.The pressure exerted on an end face, compared with the pressure exerted on the long curved face, is:

Accepted Answer

A) smaller because its area is smaller 
B) smaller because most molecules cannot traverse the length of the cylinder without undergoing collisions 
C) larger because the face is flat 
D) larger because the molecules have a greater distance in which to accelerate before they strike the face 
E) none of these 
A) smaller because its area is smaller 
B) smaller because most molecules cannot traverse the length of the cylinder without undergoing collisions 
C) larger because the face is flat 
D) larger because the molecules have a greater distance in which to accelerate before they strike the face 
E) none of these E

Question 4

The mean free path of molecules in a gas is proportional to:

Accepted Answer

A) the molecular cross-sectional area 
B) the reciprocal of the molecular cross-sectional area 
C) the root-mean-square molecular speed 
D) the square of the average molecular speed 
E) the molar mass 
A) the molecular cross-sectional area 
B) the reciprocal of the molecular cross-sectional area 
C) the root-mean-square molecular speed 
D) the square of the average molecular speed 
E) the molar mass

Question 5

When an ideal gas undergoes a slow isothermal expansion:

Accepted Answer

A) the work done by the gas is the same as the energy absorbed as heat 
B) the work done by the environment is the same as the energy absorbed as heat 
C) the increase in internal energy is the same as the heat absorbed 
D) the increase in internal energy is the same as the work done by the gas 
E) the increase in internal energy is the same as the work done by the environment 
A) the work done by the gas is the same as the energy absorbed as heat 
B) the work done by the environment is the same as the energy absorbed as heat 
C) the increase in internal energy is the same as the heat absorbed 
D) the increase in internal energy is the same as the work done by the gas 
E) the increase in internal energy is the same as the work done by the environment

Question 6

The internal energy of an ideal gas depends on:

Accepted Answer

A) the temperature only 
B) the pressure only 
C) the volume only 
D) the temperature and pressure only 
E) temperature, pressure, and volume 
A) the temperature only 
B) the pressure only 
C) the volume only 
D) the temperature and pressure only 
E) temperature, pressure, and volume

Question 7

Two monatomic ideal gases are in thermal equilibrium with each other.Gas A is composed of molecules with mass m while gas B is composed of molecules with mass 4m.The ratio of the average molecular kinetic energy KA/KB is:

Accepted Answer

A) 1/4 
B) 1/2 
C) 1 
D) 2 
E) 4 
A) 1/4 
B) 1/2 
C) 1 
D) 2 
E) 4

Question 8

An automobile tire is pumped up to a gauge pressure of 2.0 * 105 Pa when the temperature is 27°C.What is its gauge pressure after the car has been running on a hot day so that the tire temperature is 77°C? Assume that the volume remains fixed and take atmospheric pressure to be 1.013 *105 Pa.

Accepted Answer

A) 1.6 * 105 Pa 
B) 2.3 *105 Pa 
C) 2.5 * 105 Pa 
D) 3.6 * 105 Pa 
E) 8.6 * 105 Pa 
A) 1.6 * 105 Pa 
B) 2.3 *105 Pa 
C) 2.5 * 105 Pa 
D) 3.6 * 105 Pa 
E) 8.6 * 105 Pa

Question 9

In a system of N gas molecules, the individual speeds are v1, v2, ..., vN.The rms speed of these molecules is:

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

The pressures p and volumes V of the five ideal gases, with the same number of molecules, are given below.Which has the highest temperature?

Accepted Answer

A) p = 1*105 Pa and V = 10cm3 
B) p = 3 *105 Pa and V = 6 cm3 
C) p = 4 * 105 Pa and V = 4 cm3 
D) p = 6 * 105 Pa and V = 2 cm3 
E) p = 8 *105 Pa and V = 2 cm3 
A) p = 1*105 Pa and V = 10cm3 
B) p = 3 *105 Pa and V = 6 cm3 
C) p = 4 * 105 Pa and V = 4 cm3 
D) p = 6 * 105 Pa and V = 2 cm3 
E) p = 8 *105 Pa and V = 2 cm3

Question 11

Which of the following changes when the pressure of an ideal gas is changed isothermally?

Accepted Answer

A) Mean free path 
B) Root-mean-square molecular speed 
C) Internal energy 
D) Most probable kinetic energy 
E) Average speed 
A) Mean free path 
B) Root-mean-square molecular speed 
C) Internal energy 
D) Most probable kinetic energy 
E) Average speed

Question 12

An ideal diatomic gas has a molar specific heat at constant pressure, Cp, of:

Accepted Answer

A) R 
B) 3R/2 
C) 5R/2 
D) 7R/2 
E) 9R/2 
A) R 
B) 3R/2 
C) 5R/2 
D) 7R/2 
E) 9R/2

Question 13

Air is pumped into a bicycle tire at constant temperature.The pressure increases because:

Accepted Answer

A) more molecules strike the tire wall per second 
B) the molecules are larger 
C) the molecules are farther apart 
D) each molecule is moving faster 
E) each molecule has more kinetic energy 
A) more molecules strike the tire wall per second 
B) the molecules are larger 
C) the molecules are farther apart 
D) each molecule is moving faster 
E) each molecule has more kinetic energy

Question 14

Five molecules have speeds of 2.8, 3.2, 5.8, 7.3, and 7.4 m/s.Their root-mean-square speed is closest to:

Accepted Answer

A) 2.5 m/s 
B) 5.3 m/s 
C) 5.7 m/s 
D) 28 m/s 
E) 32 m/s 
A) 2.5 m/s 
B) 5.3 m/s 
C) 5.7 m/s 
D) 28 m/s 
E) 32 m/s

Question 15

An ideal monatomic gas has a molar specific heat Cv at constant volume of:

Accepted Answer

A) R 
B) 3R/2 
C) 5R/2 
D) 7R/2 
E) 9R/2 
A) R 
B) 3R/2 
C) 5R/2 
D) 7R/2 
E) 9R/2

Question 16

The average speed of air molecules at room temperature is about:

Accepted Answer

A) 0 m/s 
B) 2 m/s (walking speed) 
C) 30 m/s (fast car) 
D) 500 m/s (supersonic airplane) 
E) 3 * 108 m/s (speed of light) 
A) 0 m/s 
B) 2 m/s (walking speed) 
C) 30 m/s (fast car) 
D) 500 m/s (supersonic airplane) 
E) 3 * 108 m/s (speed of light)

Question 17

An ideal gas of N diatomic molecules has temperature T.If the number of molecules is doubled without changing the temperature, the internal energy increases by:

Accepted Answer

A) 0 
B)    NkT 
C)    NkT 
D)    NkT 
E) 3 NkT 
A) 0 
B)    NkT 
C)    NkT 
D)    NkT 
E) 3 NkT

Question 18

An ideal gas of N monatomic molecules is in thermal equilibrium with an ideal gas of the same number of diatomic molecules and equilibrium is maintained as temperature is increased.The ratio of the changes in the internal energies ΔEdia / ΔEmon is:

Accepted Answer

A) 1/2 
B) 3/5 
C) 1 
D) 5/3 
E) 2 
A) 1/2 
B) 3/5 
C) 1 
D) 5/3 
E) 2

Question 19

A given mass of gas is enclosed in a suitable container so that it may be maintained at constant volume.Under these conditions, there can be no change in what property of the gas?

Accepted Answer

A) Pressure 
B) Density 
C) Molecular kinetic energy 
D) Internal energy 
E) Temperature 
A) Pressure 
B) Density 
C) Molecular kinetic energy 
D) Internal energy 
E) Temperature

Question 20

The force on the walls of a vessel of a contained gas is due to:

Accepted Answer

A) repulsive force between gas molecules 
B) slight loss in average speed of a gas molecule after collision with wall 
C) change in momentum of a gas molecule due to collision with wall 
D) elastic collisions between gas molecules 
E) inelastic collisions between gas molecules 
A) repulsive force between gas molecules 
B) slight loss in average speed of a gas molecule after collision with wall 
C) change in momentum of a gas molecule due to collision with wall 
D) elastic collisions between gas molecules 
E) inelastic collisions between gas molecules

Exam 19: The Kinetic Theory of Gases

273 cm3 of an ideal gas is at 0°C.It is heated at constant pressure to 10°C.It will now occupy:

If the molecules in a tank of hydrogen have the same rms speed as the molecules in a tank of oxygen, we may be sure that:

A gas is confined to a cylindrical container of radius 1 cm and length 1 m.The pressure exerted on an end face, compared with the pressure exerted on the long curved face, is:

The mean free path of molecules in a gas is proportional to:

When an ideal gas undergoes a slow isothermal expansion:

The internal energy of an ideal gas depends on:

Two monatomic ideal gases are in thermal equilibrium with each other.Gas A is composed of molecules with mass m while gas B is composed of molecules with mass 4m.The ratio of the average molecular kinetic energy KA/KB is:

An automobile tire is pumped up to a gauge pressure of 2.0 * 105 Pa when the temperature is 27°C.What is its gauge pressure after the car has been running on a hot day so that the tire temperature is 77°C? Assume that the volume remains fixed and take atmospheric pressure to be 1.013 *105 Pa.

In a system of N gas molecules, the individual speeds are v1, v2, ..., vN.The rms speed of these molecules is:

The pressures p and volumes V of the five ideal gases, with the same number of molecules, are given below.Which has the highest temperature?

Which of the following changes when the pressure of an ideal gas is changed isothermally?

An ideal diatomic gas has a molar specific heat at constant pressure, Cp, of:

Air is pumped into a bicycle tire at constant temperature.The pressure increases because:

Five molecules have speeds of 2.8, 3.2, 5.8, 7.3, and 7.4 m/s.Their root-mean-square speed is closest to:

An ideal monatomic gas has a molar specific heat Cv at constant volume of:

The average speed of air molecules at room temperature is about:

An ideal gas of N diatomic molecules has temperature T.If the number of molecules is doubled without changing the temperature, the internal energy increases by:

An ideal gas of N monatomic molecules is in thermal equilibrium with an ideal gas of the same number of diatomic molecules and equilibrium is maintained as temperature is increased.The ratio of the changes in the internal energies ΔEdia / ΔEmon is:

A given mass of gas is enclosed in a suitable container so that it may be maintained at constant volume.Under these conditions, there can be no change in what property of the gas?

The force on the walls of a vessel of a contained gas is due to:

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273 cm³ of an ideal gas is at 0°C.It is heated at constant pressure to 10°C.It will now occupy:

Two monatomic ideal gases are in thermal equilibrium with each other.Gas A is composed of molecules with mass m while gas B is composed of molecules with mass 4m.The ratio of the average molecular kinetic energy K_A/K_B is:

An automobile tire is pumped up to a gauge pressure of 2.0 * 10⁵ Pa when the temperature is 27°C.What is its gauge pressure after the car has been running on a hot day so that the tire temperature is 77°C? Assume that the volume remains fixed and take atmospheric pressure to be 1.013 *10⁵ Pa.

In a system of N gas molecules, the individual speeds are v₁, v₂, ..., v_N.The rms speed of these molecules is:

An ideal diatomic gas has a molar specific heat at constant pressure, C_p, of:

An ideal monatomic gas has a molar specific heat C_v at constant volume of:

An ideal gas of N monatomic molecules is in thermal equilibrium with an ideal gas of the same number of diatomic molecules and equilibrium is maintained as temperature is increased.The ratio of the changes in the internal energies ΔE_{dia /}ΔE_mon is: