The space is cooled at a constant rate of $121$ kW based on the ideal vapor compression cycle with R$134$a refrigerant between $120$ and $700$ kPa. Water is used to take the heat of the refrigerant in the condenser whose temperature rises by $1\mathrm{.}93$ K$.$ Draw the thermodynamic cycle a T$-$S diagram and calculate.

$1)$ Enthalpies at all points of the circle

$2)$ The R$134$a mass supply

$3)$ The power given to the compressor

$4)$ The mass supply of the cooling water $($considering a fixed value of the cp of the water$)$