A vessel contains a mixture of ethylene (left(mathrm{C}_{2} mathrm{H}_{4} ight)) and twice as much air as that

A vessel contains a mixture of ethylene \(\left(\mathrm{C}_{2} \mathrm{H}_{4}\right)\) and twice as much air as that required for complete combustion. If the initial pressure and temperature are 5 bar and \(440 \mathrm{~K}\), calculate the adiabatic temperature rise and maximum pressure when the mixture is ignited.

If the products of combustion are cooled until the water vapour is just about to condense, calculate the final temperature, pressure and heat loss per kmol of original mixture.

The enthalpy of combustion of ethylene at the absolute zero is \(-1,325,671 \mathrm{~kJ} / \mathrm{kmol}\); and the internal energy at \(440 \mathrm{~K}\) is \(16,529 \mathrm{~kJ} / \mathrm{kmol}\).

[1631 K; \(23.53 \mathrm{bar} ; 6{ }^{\circ} \mathrm{C} ; 3.84 \mathrm{bar} ; 47,119 \mathrm{~kJ} / \mathrm{kmol}\) ]