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Question

If the ratio of specific heat of a gas at constant pressure to that at constant volume is γ, the change in internal energy of a mass of gas, when the volume changes from V to 2V at constant pressure P, is :-

A
R(γ1)
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B
PV
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C
PV(γ1)
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D
γPV(γ1)
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Solution

The correct option is C PV(γ1)
Let ΔU be the chane in internal energy and n be the number of moles.
From formula,
ΔU=nCvΔT=n(Rγ1)ΔT
ΔU=nRΔTγ1=P(2VV)γ1
ΔU=PVγ1
Hence, option (c) is the correct answer.

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