Question $3$

$[16]$

A heat pump with refrigerant$-134$a as the working fluid is used to keep a space a $25C$ by absorbing heat from geothermal water that enters the evaporator at $60C$ at a rate of $0\mathrm{.}065k\frac{g}{s}$ and leaves at $40C.$ Refrigerant enters the evaporator at $12C$ with a quality of $15$ percent and leaves at the same pressure as a saturated vapour. If the compressor consumes $1\mathrm{.}6$ kW of power, determine:

a$)$ The mass flow rate of the refrigerant,

b$)$ The rate of heat supplied,

c$)$ The COP,

d$)$ The minimum power input to the compressor for the same rate of heat supply.