Chemistry Question from JEE Main 2023 · 1 February, Shift 2

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

[Given : The heat capacity of the calorimeter system is $20 \, \text{kJ K}^{-1}$, $R = 8.3 \, \text{J K}^{-1} \, \text{mol}^{-1}$. Assume ideal gas behaviour. Atomic mass of C and H are $12$ and $1 \, \text{g mol}^{-1}$ respectively]