A vapor-compression heat pump with a heating capacity of 500kJ/min is driven by a power cycle with a thermal efficiency of 30%.For the heat pump, Refrigerant 134a is compressed from saturatedvapor at -10°C to the condenser pressure of 10 bar. The isentropiccompressor efficiency is 80%. Liquid enters the expansion valve at9.6 bar, 34°C. For the power cycle, 80% of the heat rejected istransferred to the heated space. (a) Determine the power input tothe heat pump compressor, in kW (b) Evaluate the ratio of the totalrate that heat is delivered to the heated space to the rate of heatinput to the power cycle. Round answers to 3 significantdigits.