A vapor$-$compression refrigeration cycle operates at steady state with Refrigerant $134$ a as the working fluid. Saturated vapor enters the compressor at $2\mathrm{.}6$ bar, and saturated liquid exits the condenser at $10$ bar $.$ The isentropic compressor efficiency is $80\%.$ The mass flow rate of refrigerant is $7k\frac{g}{m}in.$

Determine:

$($a$)$ the compressor power, in kW $.$

$($b$)$ the refrigeration capacity, in tons.

$($c$)$ the coefficient of performance.