Consider a vapour compression refrigeration system using R$134$a as the refrigerant. The refrigeration effect is $4$ KW$.$ The refrigerant enters the compressor as saturated vapor at $200$ KPa and is compressed to $700$KPa as superheated. When leaving the condenser, it is saturated liquid.

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$1.$ Show the T$-$s diagram of the refrigeration cycle.

$2.$ Calculate the quality of refrigerant $($dryness fraction$)$ at the end of the throttling process?

$3.$ Calculate the CoP of the system.

$4.$ Calculate the mass flow rate of the refrigerant.

$5.$ Calculate the power input into the compressor.