In a thermodynamic process two moles of a monatomic ideal gas obeys $P \propto V^{-2}$. If temperature of the gas increases from $300 \,K$ to $400 \,K$, then find work done by the gas .........$R$ (where $R=$ universal gas constant).
Medium
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(b)
$P \propto V^{-2}$
$P V^2=$ constant $\quad$ Compare with $P V^N=$ constant then $N=2$
$W=\mu\left(\frac{R}{1-N}\right) \Delta T$
$W=\frac{\mu R}{1-N}\left(T_2-T_1\right)$
$=\frac{2 \times R(400-300)}{(1-2)}$
$=-200 R$
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