Problem 1: The compression ratio of an air-standard dual cycle is 13, and at the beginning of compression the pressure is 95 kPa, the volume is 1.4liters, and the temperature is 27C. During the heat-addition processes, 0.5 kJ is transferred at constant volume and 0.9 kJ at constant pressure. Determine (a) Properties at state points; (b) the cycle thermal efficiency (c) MEP. Assume variable specific heats. Problem 2: A spark-ignition internal-combustion engine must be designed that will have six cylinders and a four- stroke cycle and produce 270,000 N-mm of torque at 2500 rpm with an indicated mean effective pressure of 750 kPa. The mechanical efficiency is 80%, the brake thermal efficiency is 26%, the clearance is 14%, and the ratio of bore to stroke is 1.0. At the beginning of compression p = 100 kPa, T =60 C, and k = 1.31. Determine (a) the brake hp; (b) the compression ratio; (c) the bore and stroke; (d) fuel consumption in kg/h if the lower heating value is 42 500 kJ/kg.