11.a heat engine operates between two reservoirs at 800 and 20°c. one-half of the work output of the heat engine is used to drive a carnot heat pump that removes heat from the cold surroundings at 2°c and transfers it to a house maintained at 22°c. if the house is losing heat at a rate of 62,000 kj/h, determine the minimum rate of the heat supply to the heat engine required to keep the house at 22°c.

An open feedwater heater operates at steady state with liquid entering at inlet 1 with t? = 40°c and pl = 1 .2 mpa. water vapor att2-200°c and p2 = 1.2 mpa enters at inlet 2. saturated liquid water exits with a pressure of pa 1.2 mpa. neglect heat transfer with the surroundings and all kinetic and potential energy effects, determine the mass flow rate of steam at inlet 2 if the mass flow rate of liquid water at inlet 1 is given as 2 kg/s.