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Q.

$H_{2}$ gas undergoes process where ${PV}^{2} = constant$ . The ratio of work done by gas to modulus of change in its internal energy as the gas expands is $\frac{2}{N}$ , N is equal to

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answer is 5.

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Detailed Solution

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${PV}^{2} = constant$

$\Rightarrow C = \frac{5}{2} R + \frac{R}{1 - 2}$

$\Rightarrow C = \frac{3}{2} R$

$\frac{ΔW}{ΔU} = \frac{Q - ∆ U}{∆ U} = \frac{n \frac{3}{2} RΔT - n \frac{5}{2} RΔT}{n \frac{5}{2} RΔT} = \frac{- 2}{5}$

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