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Question

If the ratio of specific heat of an ideal gas at constant pressure to that at constant volume is γ, the change in internal energy of the given 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)


The change in internal energy is given by
ΔU=nCVΔT

[CV=Rγ1]

ΔU=nR(γ1)ΔT

Using ideal gas equation, PV=nRT
For constant pressure PΔV=nRΔT

ΔU=PΔVγ1=P(2VV)(γ1)

ΔU=PV(γ1)

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