Question

A sealed flask with a capacity of $2\, dm ^3$ contains $11 \, g$ of propane gas The flask is so weak that it will burst if the pressure becomes $2\, MPa$ The minimum temperature at which the flask will burst is ______${ }^{\circ} C$ [Nearest integer] 

(Given: $R =8.3 \,J \,K ^{-1} mol ^{-1}$ Atomic masses of $C$ and $H$ are $12\, u$ and $1 \,u$ respectively) (Assume that propane behaves as an ideal gas)

Answer 1

Correct Answer: 1655

The correct answer is 1655
Moles of $C_3{H}_8=\frac{11}{44}=0.25$ moles
$PV=nRT$
$\Rightarrow 2\times 10^6\times 2\times 10^{-3}=0.25\times 8.3\times T$
$\Rightarrow T=1927.710K=1654.56^{\circ }C$