Question 1

273 cm3 of an ideal gas is at 0 $\degree$C.It is heated at constant pressure to 10 $\degree$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

Question 2

A certain ideal gas has a temperature 300 K and a pressure 5.0 *104 Pa.The molecules have a mean free path of 4.0 *10 - 7m.If the temperature is raised to 350 K and the pressure is reduced to 1.0 *104 Pa the mean free path is then:

Accepted Answer

A) 6.9 *10 - 8 m 
B) 9.3 *10- 8 m 
C) 3.4 *10- 7 m 
D) 1.7 *- 6 m 
E) 2.3 *- 6 m 
A) 6.9 *10 - 8 m 
B) 9.3 *10- 8 m 
C) 3.4 *10- 7 m 
D) 1.7 *- 6 m 
E) 2.3 *- 6 m

Question 3

Two ideal gases, each consisting of N monatomic molecules, are in thermal equilibrium with each other and equilibrium is maintained as the temperature is increased.A molecule of the first gas has mass m and a molecule of the second has mass 4m.The ratio of the internal energies E4m/Em 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 4

When work W is done on an ideal gas of N diatomic molecules in thermal isolation the temperature increases by:

Accepted Answer

A) W/2Nk 
B) W/3Nk 
C) 2W/3Nk 
D) 2W/5Nk 
E) W/Nk 
A) W/2Nk 
B) W/3Nk 
C) 2W/3Nk 
D) 2W/5Nk 
E) W/Nk

Question 5

Consider the ratios of the heat capacities $\gamma$ = Cp/Cv for the three types of ideal gases: monatomic, diatomic, and polyatomic.

Accepted Answer

A) "$\gamma$is the greatest for monatomic gases" 
B) "$\gamma$ is the greatest for polyatomic gases" 
C) "$\gamma$ is the same only for diatomic and polyatomic gases" 
D) "$\gamma$ is the same only for monatomic and diatomic gases" 
E) "$\gamma$ is the same for all three" 
A) "$\gamma$is the greatest for monatomic gases" 
B) "$\gamma$ is the greatest for polyatomic gases" 
C) "$\gamma$ is the same only for diatomic and polyatomic gases" 
D) "$\gamma$ is the same only for monatomic and diatomic gases" 
E) "$\gamma$ is the same for all three"

Question 6

Evidence that a gas consists mostly of empty space is the fact that:

Accepted Answer

A) the density of a gas becomes much greater when it is liquefied 
B) gases exert pressure on the walls of their containers 
C) gases are transparent 
D) heating a gas increases the molecular motion 
E) nature abhors a vacuum 
A) the density of a gas becomes much greater when it is liquefied 
B) gases exert pressure on the walls of their containers 
C) gases are transparent 
D) heating a gas increases the molecular motion 
E) nature abhors a vacuum

Question 7

For a given change in temperature, the change in the internal energy of an ideal gas:

Accepted Answer

A) also depends on the change in pressure 
B) also depends on the change in volume 
C) depends on whether the process is adiabatic or not 
D) depends on whether the process occurs at constant pressure or not 
E) can be calculated assuming the volume is constant 
A) also depends on the change in pressure 
B) also depends on the change in volume 
C) depends on whether the process is adiabatic or not 
D) depends on whether the process occurs at constant pressure or not 
E) can be calculated assuming the volume is constant

Question 8

The root-mean-square speed of molecules in a gas is:

Accepted Answer

A) the most probable speed 
B) that speed such that half the molecules are moving faster than vrms and the other half are moving slower 
C) the average speed of the molecules 
D) the square root of the square of the average speed 
E) none of the above 
A) the most probable speed 
B) that speed such that half the molecules are moving faster than vrms and the other half are moving slower 
C) the average speed of the molecules 
D) the square root of the square of the average speed 
E) none of the above

Question 9

If the temperature T of an ideal gas is increased at constant pressure the mean free path:

Accepted Answer

A) decreases in proportion to 1/T 
B) decreases in proportion to 1/T2 
C) increases in proportion to T 
D) decreases in proportion to T2 
E) does not change 
A) decreases in proportion to 1/T 
B) decreases in proportion to 1/T2 
C) increases in proportion to T 
D) decreases in proportion to T2 
E) does not change

Question 10

Three gases, one consisting of monatomic molecules, the second consisting of diatomic molecules, and the third consisting of polyatomic molecules, are in thermal equilibrium with each other and remain in thermal equilibrium as the temperature is raised.All have the same number of molecules.The gases with the least and greatest internal energy are respectively:

Accepted Answer

A) polyatomic, monatomic 
B) monatomic, polyatomic 
C) diatomic, monatomic 
D) polyatomic, diatomic 
E) all have equal internal energy 
A) polyatomic, monatomic 
B) monatomic, polyatomic 
C) diatomic, monatomic 
D) polyatomic, diatomic 
E) all have equal internal energy

Question 11

The specific heat of a polyatomic gas is greater than the specific heat of a monatomic gas because:

Accepted Answer

A) the polyatomic gas does more positive work when energy is absorbed as heat 
B) the monatomic gas does more positive work when energy is absorbed as heat 
C) the energy absorbed by the polyatomic gas is split among more degrees of freedom 
D) the pressure is greater in the diatomic gas 
E) a monatomic gas cannot hold as much heat 
A) the polyatomic gas does more positive work when energy is absorbed as heat 
B) the monatomic gas does more positive work when energy is absorbed as heat 
C) the energy absorbed by the polyatomic gas is split among more degrees of freedom 
D) the pressure is greater in the diatomic gas 
E) a monatomic gas cannot hold as much heat

Exam 19: The Kinetic Theory of Gases

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

A certain ideal gas has a temperature 300 K and a pressure 5.0 *104 Pa.The molecules have a mean free path of 4.0 *10 - 7m.If the temperature is raised to 350 K and the pressure is reduced to 1.0 *104 Pa the mean free path is then:

Two ideal gases, each consisting of N monatomic molecules, are in thermal equilibrium with each other and equilibrium is maintained as the temperature is increased.A molecule of the first gas has mass m and a molecule of the second has mass 4m.The ratio of the internal energies E4m/Em is:

When work W is done on an ideal gas of N diatomic molecules in thermal isolation the temperature increases by:

Consider the ratios of the heat capacities γ\gammaγ = Cp/Cv for the three types of ideal gases: monatomic, diatomic, and polyatomic.

Evidence that a gas consists mostly of empty space is the fact that:

For a given change in temperature, the change in the internal energy of an ideal gas:

The root-mean-square speed of molecules in a gas is:

If the temperature T of an ideal gas is increased at constant pressure the mean free path:

The specific heat of a polyatomic gas is greater than the specific heat of a monatomic gas because:

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

A certain ideal gas has a temperature 300 K and a pressure 5.0 10⁴Pa.The molecules have a mean free path of 4.0 10 ^- ⁷m.If the temperature is raised to 350 K and the pressure is reduced to 1.0 *10⁴Pa the mean free path is then:

Two ideal gases, each consisting of N monatomic molecules, are in thermal equilibrium with each other and equilibrium is maintained as the temperature is increased.A molecule of the first gas has mass m and a molecule of the second has mass 4m.The ratio of the internal energies E₄_m/E_m is:

Consider the ratios of the heat capacities $\gamma$ = C_p/C_v for the three types of ideal gases: monatomic, diatomic, and polyatomic.