Question

Suppose a container is evacuated to leave just one molecule of a gas in it. Let va and vrms represent the average speed and the rms speed of the gas.
(a) va > vrms
(b) va < vrms
(c) va = vrms
(d) vrms is undefined.

Answer 1

When a container is evacuated to leave just one molecule of a gas in it, its average speed and the speed of the gas are equal.

The answer is $\bold{v_a = v_{rms}}$

Explanation:

• Speed is a constant and same for a single molecules. Thus rms speed will be equal to its average speed.

• Rms speed: - The root-mean-square rate is the calculation of particle velocity in a gas , Defined as the square root of the average gas molecules velocity-square.
• The root-mean-square speed takes molecular weight and temperature into account; two factors impacting directly on the kinetic energy of a material.

Answer 2

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