A heat pump works on the vapor compression refrigeration cycle with 0.2 kg/s of refrigerant-134a as the working fluid. The cycle is used to keep a house at 26oC while absorbing heat from the outside at 3oC. R-134a enters the compressor at 200 kPa as a saturated vapor and leaves at 900 kPa, 50oC. The refrigerant leaves the condenser as a saturated liquid. Assuming the four devices to be well-insulated:

(a) Determine the COP of the heat pump.
(b) Determine the minimum power input for this heat pump system.