A heat engine with a thermal efficiency of 45% produces 880 kJ of work. Heat transfer to the engine is from a reservoir at a temperature of 550 K, and the heat transfer from the

engine to the surrounding air is at 300 K.
a) Determine the heat transfer to and from the heat engine.
b) Find the maximum efficiency of the heat engine.

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.