A vapour compression refrigeration system operates with a condenser pressure of $7$ bar. The inlet to the evaporator is at $-24$C and has a quality of $29\%.$ The compressor inlet is a saturated vapour and the exit is at $42$C$.$ The refrigerant $($R$134$a$)$ flow rate is $0\mathrm{.}05$ kg$/$s$.$

Determine the coefficient of performance, the refrigeration capacity, the isentropic efficiency of the compressor, and the temperature at the condenser exit.