A four-cylinder, four-stroke, 1.8 -liter modern, highspeed compression-
ignition engine operates on the ideal dual cycle with a compression ratio of
\(16 .\) The air is at \(95 \mathrm{kPa}\) and \(70^{\circ} \mathrm{C}\) at the
beginning of the compression process and the engine speed is 2200 rpm. Equal
amounts of fuel are burned at constant volume and at constant pressure. The
maximum allowable pressure in the cycle is 7.5 MPa due to material strength
limitations. Using constant specific heats at \(1000 \mathrm{K}\) determine
\((a)\) the maximum temperature in the cycle, \((b)\) the net work output and the
thermal efficiency, (c) the mean effective pressure, and \((d)\) the net power
output. Also, determine \((e)\) the second-law efficiency of the cycle and the
rate of energy output with the exhaust gases when they are purged.