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The equation of certain gas can be written as $T 7 / 5 P 2 / 5$ = constant. Its specific heat at constant volume will be

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72 R

2 R

52 R

32 R

answer is B.

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Detailed Solution

$\begin{array}{l} T^{n} . P^{1 - n} = constant \\ 7^{7 / 5} . P^{- 2 / 5} = constant \\ γ = 7 / 5 \\ C_{V} = \frac{R}{γ - 1} = \frac{5 R}{2} \end{array}$

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