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Consider an air$-$conditioning system where air flows over tubes carrying refrigerant $134$a$.$ The air enters with a rate of $210\mathrm{.}2k\frac{g}{m}in$ at $\frac{1\mathrm{.}10}{b}ar,37C$ and exits at $\frac{0\mathrm{.}90}{b}ar,12C.$ The refrigerant enters the tubes at $5\mathrm{.}0$ bar with a quality of $21\%$ and flows at constant pressure exiting at $40C.$ Determine the refrigerant mass flow rate $m_R^{}$ in $k\frac{g}{m}in$ and the rate of heat transfer $Q_R^{}$ in $k\frac{J}{m}in$ from the refrigerant to the air. Ignore heat transfer at the outer surface of the air conditioner and neglect kinetic and potential energy effects.

$($a$)m_R^{}=Ex*22\mathrm{.}2k\frac{g}{m}in$

$($b$)Q_R^{}=$ Ex:$9999$