A vapor$-$compression refrigerator utilizes

refrigerant$-134$a $($R$-134$a$)$ as the working fluid. The

refrigerant flows at steady state through an evaporator, a

compressor, a condenser, and an expansion $($throttle$)$

valve $($see figure$).$ The outlet of the evaporator is Saturated

R$-134$a vapor at $1=10$ Co $.$ The inlet to the condenser

is R$-134$a at $2=1000$ kPa and $2=50$ Co $.$ The outlet of

the condenser is saturated R$-134$a liquid at $3=$

$1000$ kPa. The compressor operates adiabatically. Use the

R$-134$a tables for R$-134$a data. Ignore kinetic and potential

energy effects. Calculate:

$($a$)$ The amount of heat removed from the refrigerated

space, Lq $,$ per kg of R$-134$a$.$

$($b$)$ The work input to the compressor, w $,$ per kg of R$-134$a$.$

$($c$)$ The amount of heat rejected to the surroundings, Hq $,$ per kg of R$-134$a$.$

$($d$)$ The coefficient of performance of the refrigerator.