A stirling cycle engine uses 1 kg of nitrogen (N_2, c_v= 0.743 kJ/KG*K, c_p = 1.039 kJ/kg*K) as the working fluid. The nitrogen begins its isothermal expansion at 1000K, 500 kPa. During the expansion process the volume of nitrogen increases by a factor of 5. The temperature of the low temperature reservoir is 20C. Find the following
a) Heat transfer(kJ) in the regenerator per cycle
b) Heat transfer (kJ) with both reservoirs per cycle
c) Net work (kJ) per cycle
d) Thermal Efficiency