$10-35.$ Refrigerant $134$a is the working fluid in a vapor compression heat pump system

with 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.