A room is kept at $-5C$ by a vapor$-$compression refrigeration cycle with $R-134$ a as the refrigerant. Heat is rejected to cooling water that enters the condenser at $20C$ at a rate of $0\mathrm{.}13k\frac{g}{s}$ and leaves at $28C.$ The refrigerant enters the condenser at $1\mathrm{.}2$MPa and $50C$ and leave as a saturated liquid. If the compressor consumes $1\mathrm{.}9kW$ of power, determine $($a$)$ the refrigeration load, in kw and the COP, $($b$)$ the rate of flow mass of the refrigerant and the COP of the reversible carnot cycle and $(c)$ the cycle is reversible or irreversible and why $.$ Take $cp,$ water $4\mathrm{.}18k\frac{J}{k}g*C.$ Answers: $($a$)2\mathrm{.}447kW,1\mathrm{.}29,(b)0\mathrm{.}02709k\frac{g}{s},10\mathrm{.}72,($C$)$ dots