Question 1

According to the Kinetic Molecular Theory, which statement best describes the nature of collisions between ideal gas particles?

Accepted Answer

Collisions are elastic, with no energy lost as heat.

Question 2

Which of the following is a direct consequence of the Kinetic Molecular Theory for ideal gases?

Accepted Answer

The average kinetic energy of gas particles is proportional to the Kelvin temperature.

Question 3

Given the equation for average kinetic energy $$E_k = \frac{3}{2}kT$$, what happens to the average kinetic energy of gas particles if the temperature is doubled?

Accepted Answer

It is doubled.

Question 4

Which gas will have the highest average speed at 400 K?

Accepted Answer

NH$$_3$$

Question 5

A sample contains two gases at the same temperature. Gas A has a lower molar mass than Gas B. Which statement is true about their root-mean-square (rms) speeds?

Accepted Answer

Gas A has a higher rms speed than Gas B.

Question 6

Which formula correctly expresses the root-mean-square velocity ($$u_{rms}) of a $$gas molecule?

Accepted Answer

$$u_{rms} = \sqrt{\frac{3RT}{M}}$$

Question 7

At higher temperatures, what happens to the fraction of gas particles with very high kinetic energies?

Accepted Answer

It becomes much larger.

Question 8

Which of the following statements about the Maxwell-Boltzmann distribution is correct?

Accepted Answer

As temperature increases, the distribution broadens and shifts to higher speeds.

Question 9

If the average kinetic energy of a gas particle is $$E_k = \frac{1}{2}mv^2$, what happens to the most probable kinetic energy as temperature increases?

Accepted Answer

It gets higher.

Question 10

Which of the following gases will have the same average kinetic energy at 400 K?

Accepted Answer

All of these will have the same average kinetic energy.

Question 11

A mixture of two gases, A and B, is kept at the same temperature. If gas A effuses faster than gas B, what can you conclude about their molar masses?

Accepted Answer

Gas A has a lower molar mass than gas B.

Question 12

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

Accepted Answer

Gas particles experience strong attractive forces.

Question 13

If the temperature of a gas is increased from 300 K to 600 K, by what factor does the root-mean-square speed of its molecules change?

Accepted Answer

It increases by a factor of $$\sqrt{2}.$$

Question 14

A container holds equal moles of He and Ar at the same temperature. Which gas has the higher average speed?

Accepted Answer

He

Question 15

Which of the following best explains why gases are easily compressible?

Accepted Answer

Gas particles are much smaller than the average distance between them.

Question 16

A medical device uses O$$_2$$ gas at 300 K. If the device is switched to use N$$_2 at $$the same temperature, how does the average kinetic energy of the N$$_2$$ molecules compare to that of O$$_2$$?

Accepted Answer

Both have the same average kinetic energy.

Question 17

A gas sample at 300 K has a root-mean-square speed of 500 m/s. What will be the rms speed at 1200 K?

Accepted Answer

1000 m/s

Question 18

Which of the following real-world scenarios best illustrates the concept of effusion?

Accepted Answer

A balloon slowly deflating through a tiny hole.

Question 19

If the molar mass of a gas is increased while keeping temperature constant, what happens to its root-mean-square speed?

Accepted Answer

It decreases.

Kinetic Molecular Theory and Molecular Speed Distributions

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