JEE Main 2022 — Thermodynamics (C) Question with Solution

$2.4 \mathrm{g}$ coal is burnt in a bomb calorimeter in excess of oxygen at $298 \mathrm{K}$ and $1 \mathrm{atm}$ pressure.

The temperature of the calorimeter rises from $298 \mathrm{K}$ to $300 \mathrm{K}$. The enthalpy change during the combustion of coal is $-\mathrm{x} \mathrm{kJ}{ \mathrm{mol}}^{-1}$. The value of $\mathrm{x}$ is_____(Given : Heat capacity of bomb calorimeter $20.0 {\mathrm{kJK}}^{-1}$. Assume coal to be pure carbon)