a$.$ You are a chemisal engineer in charge of a process using an open feecwater heater. You flow snperheated steam into yous process along with two liquid water streams, with the goal of creating $2$ satarated vapor. The following parameters hold for your system:

$P_{\text{S}\text{q}\text{u}\text{a}\text{d}\text{w}\text{a}\text{s}\text{e}\text{r}2}=50$ bar

$I_{\text{b}\text{q}\text{u}\text{i}\text{d}\text{w}\text{a}\text{v}\text{e}2}=0C$

Flowrathead wame $2=2k\frac{g}{s}$

The temperature surrounding the system is a comfortable $28C.$ The system may be assumed to be at steady state. The satuated steam leaves at $80$ bar.

Determine the final temperature of the saturated steam $($in Celsins$).$

Perform an energy balance and calculate the amonant of heat removal $Q$ needed to achieve our saturated steam conditions.

Calculate the rate of entropy generation resulting from this system.

b$.$ Now your outpur steam from part $($a$)$ is to be put through a nozzle with a steam velocity of $40\frac{m}{s}.$ The peesuse at the end of the nozzle is $40$ bas. Furthermose, the system is not adiabatic, with $10,000k\frac{J}{s}$ of heat constantly added to the steam. The sucrounding temperature is stll $28C.$ Assume the process is reversible.

Calculate the specific entropy of the exiting steam.

Determine the final temperature of the exiting steam.

Determine the velocity of steam leaving the nozzle.