I need hand calculations for this question Problem $4$:

A two$-$stage compression refrigeration system with an adiabatic liquid$-$vapor separation unit as shown in Figure below uses R$-134$a as the working fluid. The system operates the evaporator at $\backslash (-32^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ the condenser at $1400$ kPa $,$ and the separator at $\backslash (8\mathrm{.}9^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ The refrigerant is circulated through the condenser at a rate of $\backslash (2\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The refrigerant is assumed to be subcooled by $\backslash (5^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ at the inlet of each expansion valve and superheated by $\backslash (7^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ at the inlet of each compressor, and the compressors have an isentropic efficiency of $0\mathrm{.}8.$ Determine the rate of cooling and power requirement for this system using EES, and sketch the P$-$h and T$-$s diagrams of the cycle.