Refrigerant $134$a enters a horizontal pipe operating at steady state at $40$C$,300$ kPa and a velocity of $10$ m$/$s$.$ At the exit, the temperature is $50$C and the pressure is $240$ kPa. The pipe diameter is $0\mathrm{.}01$ m$.$ Determine a$)$ the mass flow rate of the refrigerant in kg$/$s b$)$ the velocity at the exit in m$/$s$,$ and c$)$ the rate of heat transfer between the pipe and its surroundings in kW