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Q.

The initial pressure and volume of an ideal gas are P0 and V0. The final pressure of the gas when the gas is suddenly compressed to volume V0/4 will be:
(Given γ = ratio of specific heats at constant pressure and at constant volume)

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a

P0

b

4P0

c

P0(4)γ

d

P0(4)1/γ

answer is C.

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Detailed Solution

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As the gas is compressed suddenly, the process will be adiabatic in nature.

Using the relation of PVγ=constant.

We get P2P1=V1V2γ

⇒P2=P0V0V0/4γ=P04γ

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