In a food factory area, it is required to maintain a constant low temperature with a cooling rate of $121$ kW$.$ In the refrigeration circuit, which operates on the basis of the ideal vapor compression cycle with refrigerant R$134$a$,$ the condenser uses water as a secondary fluid, which takes away the heat of the refrigerant and raises its temperature by $1\mathrm{.}93$ oC$.$ The cooling circuit operates at euro pressure of $120$ and $700$ kPa. Calculate:

$1)$ The mass supply of the coolant

$2)$ The input work of the compressor

$3)$ The mass supply of water in the condenser circuit

$4)$ The degree of efficiency of the refrigerating machine