Question

A gas cylinder containing cooking gas can withstand a pressure of $14.9$ atmosphere. The pressure gauge of the cylinder indicates $12$ atmosphere at ${27}^{\circ }C$. Due to a sudden fire in the building, the temperature starts rising. At what temperature will the cylinder explode?

Answer 1

As, the gas is confined in a cylinder, its volume will remain constant.

$P_1=12atm$

$T_1=300K$

$P_2=14.9atm$

Now, $\frac{P_1}{T_1}=\frac{P_2}{T_2}$

$T_2=\frac{14.9\times 300}{12}=372.5K$