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Question

An ideal gas is expanding such that PT2=constant. The coefficient volume expansion of the gas is

A
1T
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B
2T
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C
3T
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D
4T
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Solution

The correct option is C 3T
We know, γ=1vdvdT
Given, PT2=constant=k (say)
To find dvdT we need to express V in terms of T
From ideal gas equation, PV = nRT
kvT2=nRTV=nRkT3dvdT=nRk(3T2)γ=1(nRkT3)×(nRk3T2)=3T

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