Refrigerant $134$a flows at steady state through a horizontal tube having an inside diameter of $0\mathrm{.}05$ m $.$ The refrigerant enters the tube with a quality of $0\mathrm{.}1,$ temperature of $36C,$ and velocity of $12\frac{m}{s}.$ The refrigerant exits the tube at $9$ bar as a saturated liquid.

Determine:

$($a$)$ the mass flow rate of the refrigerant, in $k\frac{g}{s}.$

$($b$)$ the velocity of the refrigerant at the exit, in $\frac{m}{s}.$

$($c$)$ the rate of heat transfer, in kW $,$ and its associated direction with respect to the refrigerant