A gearbox (a closed steady system that converts low-torque shaft power to high-torque shaft power) consumes 100 kW of shaft work Due to lack of proper lubrication, the frictional losses amounts to 5 kW, resulting in an output power of 95 kW. The surface of the grearbox is measured to be 350 K while the surrounding temperature is 300 K. Determine
(a) The first law efficiency (η) of the gearbox.
(b) The heat transfer rate.
(c) The rate of entropy generation in kW/K in the system's universe.
(d) The external rate of entropy generation (entropy that is generated in the immediate surroundings of the gear box).