Heat is supplied to a diatomic gas at constant pressure. The ratio of $\Delta Q\,:\,\Delta U\,:\,\Delta W$ is
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(c) $\Delta Q = \mu {C_P}\Delta T = \frac{7}{2}\mu R\Delta T$ $\left( {{C_P} = \frac{7}{2}R} \right)$
$\Delta U = \mu {C_V}\Delta T = \frac{5}{2}\mu R\Delta T$ $\left( {{C_V} = \frac{5}{2}R} \right)$
and $\Delta W = \Delta Q - \Delta U = \mu R\Delta T$
==> $\Delta Q\,:\,\Delta U\,\,:\,\,\Delta W = 7\,\,:\,\,5\,\,:\,\,2$
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