Engineering thermodynamic. Please need the solution ASAP.. Dont skip any step.. thankyou

QUESTION 9 (10 Marks) (a) A heat engine with a thermal efficiency of 42 percent rejects 560 kJ/kg of heat. How much heat does it receive? (2 marks) (b) The thermal efficiency of a general heat engine is 35 percent, and it produces 56 kW. At what rate is heat transferred to this engine, in kJ/s? (2 marks) (c) A steam power plant with a power output of 160 MW at 30 per cent efficiency uses coal as the fuel. If the heating value of the coal is 30,000 kJ/kg, determine the consumption rate per hour of coal by this plant. (2 marks) (d) A Carnot refrigerator operates in a room in which the temperature is 28C and consumes 2 kW of power when operating. If the food compartment of the refrigerator is to be maintained at 3C, determine the rate of heat removal from the food compartment. (4 marks)