SOLVE $3$ USING INFO FROM $1$ AND $2$

$3.)(25$ points$).$ For the cogeneration plan discussed in problems $1$ and $2.$ Right after the boiler, the water is a

superheated fluid at $7$ MPa and $500^($@$)$C$.$ After the condenser the water is at $50$ kPa and it is saturated liquid.

After the heat exchanger, the water is also a saturated liquid but at $500$ kPa $.$ Take mass flow rate out of the

boiler as $15$kg$//$s and z$=0\mathrm{.}2$ and y$=0\mathrm{.}3.$

a$.$ Sketch the process on a T$-$S diagram using the N states you identified in problem $1$ and the

relationships you identified in problem $2.($Label the states with the numbers, and show arrows for the

direction of feedwater flow.$)$

b$.$ Determine:

i$.$ The amount of work that can be extracted from the turbine.

ii$.$ Determine the amount of work required for pumps I and II$.$

iii. Determine the amount of heat extracted in the process heat exchanger$/$mixer$.$

iv$.$ Determine the amount of heat removed in the condenser

v$.$ Determine the amount of heat required at the boiler.