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Liquefaction of Gases and Critical Constants

An ideal gas ...

Question

An ideal gas expands in such a manner that its pressure and volume can be related by equation $P V^{2} =$ constant. During this process, the gas is

A

Heated

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B

Cooled

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C

Neither heated nor cooled

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D

First heated and then cooled

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Solution

The correct option is B Cooled
For an adiabatic expansion $P V γ =$ constant and for the given process $P V^{2}$ = constant $∴$ It is also an adiabatic expansion and during adiabatic expansion the gas is cooled.

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