In an isobaric process of an ideal gas, the ratio of work done by the system (W) during the expansion and…
In an isobaric process of an ideal gas, the ratio of work done by the system (W) during the expansion and the heat exchanged $(\mathrm{Q})$ is $\left(\gamma=\frac{C_p}{C_v}\right)$
$\gamma$
$\gamma-1$
$\frac{\gamma}{\gamma-1}$
$\frac{\gamma-1}{\gamma}$
Solution
In isobaric process,
Heat exchanged, $Q=n_P \Delta T$
and work done, $\mathrm{W}=\mathrm{n}\left(\mathrm{C}_{\mathrm{P}}-\mathrm{C}_{\mathrm{V}}\right) \Delta \mathrm{T}$
$\begin{array}{ll}
\therefore \quad & \frac{W}{Q}=1-\frac{C_v}{C_p} \\
& \text { but } \gamma=\frac{C_p}{C_v} \\
\therefore \quad & \frac{W}{Q}=1-\frac{1}{\gamma}=\frac{\gamma-1}{\gamma}
\end{array}$