Question

Air is filled in a motor tube at ${27}^{o}C$ and at a pressure of $2$ atmospheres. The tube suddenly bursts, then temperature of air is [Given $\gamma$ of air $=1.251$ ]

• A. ${27.5}^{o}K$
• B. ${75}^{o}K$
• C. ${240}^{0}K$
• D. ${150}^{o}K$

Answer 1

The correct option is D ${150}^{o}K$

We get

$\begin{array}{c}\frac{p_1}{T_1}=\frac{p_2}{T_2}\\ \Rightarrow \frac{2}{300}=\frac{1}{T_2}\\ \Rightarrow T_2=150K\end{array}$

Hence, option $D$ is the correct answer