Thermodynamics

\(2.4 \mathrm{~g}\) 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 \(-x \mathrm{~kJ} \mathrm{~mol}^{-1}\). The value of \(x\) is ___________. (Nearest Integer)

(Given : Heat capacity of bomb calorimeter \(20.0 \mathrm{~kJ} \mathrm{~K}^{-1}\). Assume coal to be pure carbon)