Problem $3(10$ points$)-$ Mass and energy balance in a refrigerant nozzle

Refrigerant $134$a enters a well$-$insulated nozzle at $1\mathrm{.}4$MPa,$60C,$ with a velocity of $37\frac{m}{s}$ and exits at

$120$ kPa with a velocity of $460\frac{m}{s}.$ Please answer the following.

a$.$ Create a schematic for the nozzle and indicate the boundary that you would use to compute the

exit velocity for the R$-134$a passing through it$.$ Include the mass and energy interactions across the

boundary.

b$.$ Determine the enthalpy at the exit of the nozzle, in $k\frac{J}{k}g.$ Specify the final state $($i$.$e$.$ superheated

vapor, mix, etc.$).$

c$.$ On a P$-$v diagram, represent the process that corresponds to the R$-134$a as it passes through the

nozzle.

d$.$ If the exit diameter of the nozzle is $10$ mm $,$ determine the mass flow rate of R$-134$a entering the

nozzle, in $k\frac{g}{m}in.$