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Question

An ideal gas is expanding such that PT3= constant. The coefficient of volume expansion of the gas is:

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

The correct option is B 4T
Given :-
PT3=k (let)
(nRTV)×T3=k
Or, T4V=k
Differentiating the equation :-
4T3VdTT4V2dV=0
dVVdT=4T
β=4T
Where, β=dVVdT is the coefficient of volume expansion.

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