In an $H_2$ gas process, $PV^2 =$ constant. The ratio of work done by gas to change in its internal energy is
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$W=\frac{n R \Delta T}{1-2}$
$\Delta \mathrm{U}=\mathrm{n} \frac{5}{2} \mathrm{R} \Delta \mathrm{T}$
$\frac{W}{\Delta U}=-\frac{2}{5}=-0.4$
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