First slide

Kinetic theory of ideal gases

Question

A gas is enclosed inside a cylindrical vessel fitted with a piston. When the piston is moved in, gas heats up. It is because

Easy

A

Molecules travel faster
B

Molecules travel slower
C

Gas molecules reduce in size
D

Gas molecules increase in size

Solution

Let a gas molecule was travelling with speed u before collision. When piston moves towards it with a speed v, relative speed = u+v . By elastic collision theory, speed of molecule after collision = u+2v . Hence, molecule speeds up.
Temperature is directly proportional to velocity statistically $v α \sqrt{T}$ .

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