QUESTION $1$

Based on Figure $1,$ a commercial refrigerator with refrigerant $134a$ as the working fluid is used to keep the refrigerated space at $-35C$ by rejecting the waste heat, $Q_H,$ out through the condenser portion of the system. The mass flow rate of the refrigerant through the condenser is $0\mathrm{.}05k\frac{g}{s}.$ The refrigerant enters the condenser at $1\mathrm{.}2$MPa and leaves the condenser at $1\mathrm{.}2$MPa and $45C.$ If the compressor consumes $3\mathrm{.}3kW$ of power $(W_{in}),$ calculate:

$($a$)$ The waste heat, QH$,$ transferred out through the condenser $($in $kW)$

$($b$)$ The refrigeration load, $Q_L($in $kW)$

$($c$)$ The COP

$($d$)$ The minimum power input to the compressor for the same refrigeration load.