A four-cylinder, four-stroke, 2.8-liter modern, high-speed compression-ignition engine operates on the ideal dual cycle with a compression ratio of 14. The air is at 95 kPa and 55°C at the beginning of the compression process and the engine speed is 3500 rpm. Equal amounts of fuel are burned at constant volume and at constant pressure. The maximum allowable pressure in the cycle is 9 MPa due to material strength limitations. Using constant specific heats at 850 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.