How to solve

Problem $5($to be graded$)$:

Two streams of R$-134$a flow into a non$-$insulated diffuser. Stream $1$ enters at a

pressure of $2$ bar and $20C($State $1)$ with a velocity of $200\frac{m}{s}$ through an area of $0\mathrm{.}1$

$m^2$ while stream $2$ enters as saturated vapor at $2$ bar $($State $2)$ with a velocity of $100\frac{m}{s}$

through an area of $0\mathrm{.}05m^2.$ R$-134$a exits the diffuser at $2\mathrm{.}8$ bar and $40C($State $3)$ with

a velocity of $20\frac{m}{s}.$

$($a$)$ Calculate mass flow rate $(k\frac{g}{s})$ of the refrigerant at the exit of the diffuser.

$($b$)$ Find area $(m^2)$ at the exit of the diffuser.

$($c$)$ What is the rate of heat transfer $(kW)$ for the diffuser? Is the heat transfer into or out

of the diffuser?

Answers: $($a$)$ Not attached; $($b$)$ Not attached; $($c$)+1374\mathrm{.}7$ kW