JEE Main 2023 — Thermodynamics (C) Question with Solution

$0.3 \mathrm{g}$ of ethane undergoes combustion at $27°\mathrm{C}$ in a bomb calorimeter. The temperature of calorimeter system (including the water) is found to rise by $0.5°\mathrm{C}$. The heat evolved during combustion of ethane at constant pressure is ${\mathrm{kJmol}}^{-1}$.
(Nearest integer)

[Given : The heat capacity of the calorimeter system is $20 \mathrm{kJ} {\mathrm{K}}^{-1},\mathrm{R}=8.3{\mathrm{JK}}^{-1} {\mathrm{mol}}^{-1}$.
Assume ideal gas behaviour.

Assume ideal gas behaviour.

Atomic mass of $\mathrm{C}$ and $\mathrm{H}$ are $12$ and $1 \mathrm{g} {\mathrm{mol}}^{-1}$ respectively]