The heat of reaction of methane (left(mathrm{CH}_{4} ight)) is determined in a constant pressure calorimeter by burning

The heat of reaction of methane \(\left(\mathrm{CH}_{4}\right)\) is determined in a constant pressure calorimeter by burning the gas as a very weak mixture. The gas flow rate is \(70 \mathrm{~L} / \mathrm{h}\), and the mean gas temperature (inlet to outlet) is \(25^{\circ} \mathrm{C}\). The temperature rise of the cooling water is \(1.8^{\circ} \mathrm{C}\), with a water flow rate of \(5 \mathrm{~kg} / \mathrm{min}\). Calculate the higher and lower heats of reaction at constant volume and constant pressure in \(\mathrm{kJ} / \mathrm{kmol}\) if the gas pressure at inlet is \(1 \mathrm{bar}\). \([-800,049.5 \mathrm{~kJ} / \mathrm{kmol} ;-887,952 \mathrm{~kJ} / \mathrm{kmol}]\)