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Question

Which of the following expressions is true for an ideal gas?

A
(VT)P=0
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B
(PT)V=0
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C
(UV)T=0
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D
(UT)V=0
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Solution

The correct option is C (UV)T=0
For an ideal gas

U=nCvT

PV=nRT
Now
PVT=nRTT

(VT)P=nRP

Again, PTV=nRTT

(PT)V=nRV

Again, U=nCvT

(UV)T=(nCVT)V=0

(UT)T=(nCVT)T=nCV

Hence the correct option is [C]


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