The figure shows a process $AB$ undergone by $2$ moles of an ideal diatomic gas. The process $AB$ is in such a way that $VT =$ constant. $T_1 = 300 K $and $T_2 = 500 K$ ( $R = $ gas constant)
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$\mathrm{VT}=\mathrm{C}_{0}$

$\mathrm{PV}^{2}=\mathrm{C}_{0}, \quad \mathrm{x}=2$

$C=C_{v}+\frac{R}{1-r}=\left(\frac{3 R}{2}\right)$

$W=\left[\frac{n R \Delta T}{(-x)}\right]=\frac{2 R \times 200}{(1-2)}=-400 R$

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