$1.$

Part $1$: Refrigeration $(20$ marks$)$

Refrigerant $134$a is the working fluid in an ideal vapor compression refrigeration cycle operating at a steady state. Refrigerant enters the compressor at $1$ bar, $-15$C and the condenser pressure is $8$ bar. Sub$-$cooled liquid exits the condenser at $30$C$.$ The total mass flow rate of refrigerant is $6$ kg$/$min$.$ Answer the following, including equations and substitution:

a$)$

Draw the refrigeration cycle on a T$-$s diagram,

b$)$

Calculate the required compressor power, in kW$.$

c$)$

Calculate the heat rejected from the condenser, in kW$.$

d$)$

Calculate the coefficient of performance.