$10-35.$ Refrigerant $134$a is the working fluid in a vapor compression heat pump systemwith a heating capacity of $63,300$ kJ$/$h$.$ The condenser operates at $1\mathrm{.}4$ MPa, and the evaporator temperature is $-18\backslash$deg C$.$ The refrigerant is a saturated vapor at the evaporator exit and a liquid at $43\backslash$deg C at the condenser exit. Pressure drops in the flows through the evaporator and condenser are negligible. The compression process is adiabatic, and the temperature at the compressor exit is $82\backslash$deg C$.$ Determine$($a$)$ the mass flow rate of refrigerant, in kg$/$min$.($b$)$ the compressor power input, in kW$.($c$)$ the isentropic compressor efficiency.$($d$)$ the coefficient of performance.