Problem $1$: Heat Exchanger $(30p)$: Refrigerant $134-$ at $1$ MPa and $90C$ is to be cooled to $700$ kPa and $40C$ in a condenser by air. The air enters at $100$ kPa and $27C$ with a volume flow rate of $650\frac{m^3}{\text{m}\text{i}\text{n}}$ and leaves at $100$ kPa and $60C.($a$)$ Determine the mass flow rate of refrigerant. $($b$)$ the heat transfer rate from refrigerant to air. Assumption: $(1)$ Air is an ideal gas, $(2)$ Steady state, $(3)$ The heat exchanger gas system is adiabatic $(4)\frac{?}{{?}_{\frac{?}{?}}KE}\frac{}{{?}_{\frac{?}{?}}}PE0$