A sample of an ideal gas is contained in a cylinder. The volume of the gas is suddenly decreased. A student makes the following statements to explain the change in pressure of the gas.
I. The average kinetic energy of the gas atoms increases.
II. The atoms of the gas hit the walls of the cylinder more frequently.
III. Temperature of the gas remains unchanged.
Which of these statements is true?

I and II only

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I and III only

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II and III only

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I, II and III

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Solution

The correct option is A I and II only
Since the volume of the 'closed cylinder' decreases, the pressure inside the cylinder increases, which is a measure of frequency of atoms hitting the walls of the cylinder.
Also the temperature increases, which is a measure of average kinetic energy of the gas atoms.

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