Question

One mole of a mono-atomic ideal gas undergoes a quasi-static process, which is depicted by a straight line joining points \(\left(\mathrm{V}_{0}, \mathrm{~T}_{0}\right)\) and \(\left(2 \mathrm{~V}_{0}, 3 \mathrm{~T}_{0}\right)\) in a V-T diagram. What is the value of the heat capacity of the gas at the point \(\left(\mathrm{V}_{0}, \mathrm{~T}_{0}\right) ?\)
(A) \(\mathrm{R}\)
(B) \(\frac{3}{2} \mathrm{R}\)
(C) \(2 \mathrm{R}\)
(D) 0

Answer 1

Ans:(C)
 \(: C_{\text {process }}=C_{v}+\frac{P}{n} \frac{d V}{d T}=\frac{3 R}{2}+\frac{P}{n}\left(\frac{V_{o}}{2 T_{o}}\right)=\frac{3 R}{2}+\frac{R}{2}=2 R\)

Answer 2

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Answer 3

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