Q.

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

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a

Molecules travel faster

b

Molecules travel slower

c

Gas molecules reduce in size

d

Gas molecules increase in size

answer is A.

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Detailed 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 vαT .
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