Question

$n$ moles of an ideal gas with constant volume heat capacity $C_V$ undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is :

• A. $\frac{4 n R}{C_V - nR}$
• B. $\frac{n R}{C_V - nR}$
• C. $\frac{n R}{C_V + nR}$
• D. $\frac{4 n R}{C_V + nR}$

Answer 1

Answer: (C)

$w = n R \Delta T$
$\Delta H = (C_V + nR) \Delta T$
$\frac{w}{\Delta H} = \frac{nR}{C_V + nR}$