Answer is : 15
Given that process is isobaric \(\Delta \mathrm{T}=50^{\circ} \mathrm{C}
\)
Q in isobaric process \(=\mathrm{nC}_{\mathrm{p}} \Delta \mathrm{T}=\mathrm{E}_{1}\)
\(\Delta \mathrm{U}\) in isobaric process \(=\mathrm{nC}_{\mathrm{v}} \Delta \mathrm{T}=\mathrm{E}_{2}\)
\(\therefore \frac{E_{1}}{E_{2}}=\frac{C_{p}}{C_{v}}=\gamma\)
Given, gas is monoatomic
\(
\begin{aligned}
\therefore \ \gamma & =1+\frac{2}{\mathrm{f}} \\
\end{aligned}
\)
\( = 1+\frac{2}{3}\)
\( = \frac{5}{3}\)
Now, as per question.
\(\frac{5}{3} = \frac{x}{9}\)
\(x = 15\)
