A gas engine is run on a chemically correct mixture of methane (left(mathrm{CH}_{4} ight)) and air. The

A gas engine is run on a chemically correct mixture of methane \(\left(\mathrm{CH}_{4}\right)\) and air. The compression ratio of the engine is 10:1, and the trapped temperature and pressure at inlet valve closure are \(60{ }^{\circ} \mathrm{C}\) and \(1 \mathrm{bar}\), respectively. Calculate the maximum temperature and pressure achieved during the cycle if:

(a) combustion occurs at constant volume;

(b) \(10 \%\) of the energy added by the fuel is lost through heat transfer;

(c) the compression process is isentropic.

It can be assumed that the ratio of specific heats, \(\kappa=1.4\), and that the internal energy of methane in the reactants is negligible.

[2956 K; 88.77 bar]