A heat engine receives 2000 kJ of heat from a reservoir at temperature of 600 °C and drives a refrigerator which removes heat from a cold compartment at -20 °C. Both heat engine and refrigerator reject heat to environment at 40 °C. The net power output from the combined engine refrigerator plant is 360 kJ. The thermal efficiency of the heat engine is 40% and COP of the refrigerator is 3.5. By applying the first and second law of thermodynamics determine. i. Heat transfer to refrigerator from cold compartment. ii. The net heat rejected to environment iii. Determine whether this combined system is realistic