A turbocharged, intercooled compression ignition engine is operated on octane (left(mathrm{C}_{8} mathrm{H}_{18} ight)) and achieves constant pressure

A turbocharged, intercooled compression ignition engine is operated on octane \(\left(\mathrm{C}_{8} \mathrm{H}_{18}\right)\) and achieves constant pressure combustion. The volumetric compression ratio of the engine is 20 : 1 , and the pressure and temperature at the start of compression are 1.5 bar and \(350 \mathrm{~K}\), respectively. If the air-fuel ratio is \(24: 1\) calculate maximum temperature and pressure achieved in the cycle, and the indicated mean effective pressure (imep, \(\bar{p}_{i}\) ) of the cycle in bar. Assume that the index of compression, \(\kappa_{\mathrm{c}}=1.4\), while that of expansion, \(\kappa_{\mathrm{e}}=1.35\). [2495 K; 99.4 bar; 20.57 bar]