A jet engine burns a weak mixture ((phi=0.32)) of octane (left(mathrm{C}_{8} mathrm{H}_{18} ight)) and air. The air

A jet engine burns a weak mixture \((\phi=0.32)\) of octane \(\left(\mathrm{C}_{8} \mathrm{H}_{18}\right)\) and air. The air enters the combustion chamber from the compressor at \(10 \mathrm{bar}\) and \(500 \mathrm{~K}\); assess if the temperature of the exhaust gas entering the turbine is below the limit of \(1300 \mathrm{~K}\). Assume that the combustion process is adiabatic and that dissociation can be neglected. The enthalpy of reaction of octane at \(25^{\circ} \mathrm{C}\) is \(-44,880 \mathrm{~kJ} / \mathrm{kg}\), and the enthalpy of the fuel in the reactants may be assumed to be negligible.

[Maximum temperature, \(T_{\mathrm{P}}=1298 \mathrm{~K}\); value is very close to limit]