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A vapor-compression cycle heat pump using low-pressure water as the working fluid is proposed to heat a house. The evaporator is to be buried in the ground below the frost line and consequently will remain at 50.0°F year-round.

The condenser is to be inside the house and will operate at a constant 80.0°F. The water enters the condenser as a saturated vapor at 12.6 lbm/min and exits as a saturated liquid. Assume the isentropic efficiency of the compressor is 100.%. Determine

a. The coefficient of performance of this system.

b. The amount of heat (in Btu/h) transferred into the house.

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