Question

A gas cylinder containing cooking gas can withstand a pressure of 14.9 atmospheres. The pressure gauge of the cylinder indicates that the pressure at ${27}^{\circ }$C is 12 atmospheres. Due to sudden fire in the building, the temperature starts rising. The temperature at which the cylinder explodes is

• A. 200°C
• B. 99.5°C
• C. 67.3°C
• D. 123.8°C

Answer 1

The correct option is

D

99.5°C

Since the gas is confirmed in a cylinder, its volume will remain constant.

From the given data,

$p_1=12bar$ , $P_2=14.9bar$ , $T_1=27+273=300K$

$\frac{P_1}{T_1}=\frac{P_2}{T_2}$
$T_2=\frac{14.9\times 300}{12}=372.5K={99.5}^{\circ }C$