Question $1[5$ points$]$:

A steady stream of Refrigerant$-134$a at $1\mathrm{.}4$ MPa and $80C$ enters a nozzle with a velocity of $100\frac{m}{s},$ and it leaves at $0\mathrm{.}2$ MPa and $0C.$ The inlet area is $20c{m}^2,$ and heat is lost at a rate of $10$ kW$.$ Determine $($a$)$ the mass flow rate of the steam, $($b$)$ the exit velocity of the steam, and $($c$)$ the exit area of the nozzle.