Heat is supplied to a diatomic gas at constant pressure. ratio of Delta Q,:,Delta U,:,Delta W is

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11.Thermodynamics

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Heat is supplied to a diatomic gas at constant pressure. The ratio of $\Delta Q\,:\,\Delta U\,:\,\Delta W$ is

A

$5:3:2$

B

$5:2:3$

C

$7:5:2$

D

$7:2:5$

Solution

(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 $\Delta W = \Delta Q – \Delta U = \mu R\Delta T$

==> $\Delta Q\,:\,\Delta U\,\,:\,\,\Delta W = 7\,\,:\,\,5\,\,:\,\,2$

Standard 11

Physics

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