A four cylinder spark ignition engine has a compression ratio of 10.5 and each cylinder has a maximum volume of 0.4 L. At the beginning of the compression process, the air is at 98kPa and 37 degrees C, and the maximum temperature in the cycle is 2100K. Assuming the engine to operate on the ideal Otto cycle, determine (a) the amount of heat supplied per cylinder, (b) the thermal efficiency, and (c) the number of revolutions per minute required for a net power output of 45kW. Assume variable specific heats for air.