Between $40\backslash$deg C condensing $($condenser $2)$ and $-20\backslash$deg C evaporating $($evaporator $1)$ temperatures

A cooling system that will operate is cascaded as shown in the figure to improve efficiency.

It is designed as $($cascade$).$

R$134$a in the vapor compression system and LiBr$/$H$2$O solution in the vapor absorption system.

There are. Operating conditions of the system Evaporator $1$: $-20\backslash$deg C$,$ Condenser $1$: $12\backslash$deg C$,$ Evaporator

$2$: $4\backslash$deg C$,$ Condenser $2$: $40\backslash$deg C$,$ Generator: $90\backslash$deg C$,$ Absorber: $40\backslash$deg C$,$ From melt exchanger

The outlet temperature of the lean melt is $70\backslash$deg C and the isentropic efficiency of the compressor is $0\mathrm{.}80.$ a$)$ Give the thermodynamic properties $($P$,$ T$,$ h and X$)$ at each point of the system in a table.

b$)$Calculate the COP $($STK$)$ values $$of vapor compression and absorption systems separately.

Also calculate the COP value of the Cascade system.

c$)$If the system is only steam operated between $40\backslash$deg C condensing and $-20\backslash$deg C evaporator temperatures.

Calculate what the COP value of the system would be if it consisted of a compression cycle.