An actual vapor$-$compression cycle operates with a cooling capacity of $2$ tons. Refrigerant$-134$a exits the evaporator as a superheated vapor at $140$ kPa and $10$C$.$ The isentropic efficiency of the compressor is $85\%.$ The refrigerant then condenses at a pressure of $1\mathrm{.}0$ MPa and exits the condenser as a subcooled liquid at $28$C$.$ You may assume that there is no significant pressure drop in the flow throughconnecting lines. See the schematic above.Determine: $($a$)$ the mass flow rate of the refrigerant $($in kg$/$s$),($b$)$ the compressor power input $($in kW$),$ and $($c$)$ the coefficient of performance for this system.