Problem No: $3$

A non$-$ideal vapor$-$compression refrigeration cycle using HFC$-$

$134$a as the working fluid operates at an evaporator temperature of $\backslash (-15^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and a condenser pressure of $1$ MPa $.$ Saturated vapor enters the compressor and saturated liquid exits the condenser. If the isentropic efficiency of the compressor is $0\mathrm{.}90,$ and the refrigerant flow rate is $1\backslash (\backslash$mathrm$\{$kg$\}/\backslash$mathrm$\{$min$\}\backslash ),$ find

a$)$ The coefficient of performance of the cycle

b$)$ The power input to the compressor $($in kW $)$