THERMODYNAMICS Please use 4 decimal places in all values and K= 273.15

To save money on electricity, Mark decided to build his own heat engine at home. For testing, he built a small, homemade heat engine. His fuel, diesel, reaches a temperature of 750C during combustion, while waste heat is released into the environment at 50C. To test the quantity of electricity produced, he linked a generator and a heat pump to the heat engine.

(Assume that the heat pump will be utilized to raise the temperature of his room to 25C, despite the fact that the outside temperature is 5C. The heat loss in Mark's rooms is 85,000 kJ/hr. )In addition, the heat pump receives 25% of the heat engine's power output.

(a) How much diesel (in kg) does the heat engine need to consume to keep Marks' room at a comfortable temperature?

(Assume that the carnot heat engine and heat pump have a heating value of 22,000 BTU/lb, and that the diesel has a heating value of 22,000 BTU/lb.)