Thermodynamics

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

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