Two separate streams of $H_{2}O$ flow into a heat exchanger as shown below. Stream $1($associated with State $1)$ has a mass flow rate of $1\mathrm{.}5k\frac{g}{s}$ and is at $200C$ and $700$kPa. Of Stream $1,90\%$ enters one side of the heat exchanger. Meanwhile $10\%$ of flow is passed through a throttle valve $($isenthalpic process$)$ to combine with Stream $3(100C)$ in a mixer at $350$kPa. The combined flow $($State $4)$ enters the other side of the heat exchanger as saturated liquid. The two flows do not mix within the heat exchanger. Exiting the heat exchanger, the flow at State $5$ is $175C.$ Pressure drops through the heat exchanger, mixer and other tubing is negligible. The entire system is adiabatic and all flows are steady. $[39]$

a$.$ What is the mass flowrate of stream $3?$

b$.$ What is the temperature of State $6$ and if saturated, what is its quality?

$[10]$

$[15]$

c$.$ What is the rate of entropy generation for the entire device?

$[12]$