Question

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

• A. ${42.5}^{\circ }C$
• B. ${67.8}^{\circ }C$
• C. ${99.5}^{\circ }C$
• D. ${25.7}^{\circ }C$

Answer 1

The correct option is C ${99.5}^{\circ }C$

$P_1=12atm$

$T_1=300K$

$P_2=14\cdot 9atm$

now:

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

after putting value

$T_2=372\cdot 5k$

$T_2=99\cdot 5^{\circ }C$

Correct option is (C)