Problem $2(25$ points$)$

Consider an ideal reheat Rankine cycle that produces a net work of $200$ MW$.$ This cycle uses one high$-$pressure turbine and one low$-$pressure turbine. Steam enters the high$-$pressure turbine at $550$ C and $\backslash (10,000\backslash$mathrm$\{$kPa$\}\backslash ).$ It leaves the high$-$pressure turbine at $\backslash (1,000\backslash$mathrm$\{$kPa$\}\backslash ),$ is reheated to $500$ C $,$ and is then routed to the low$-$pressure turbine. The steam leaves the lowpressure turbine at $20$ kPa $.$ Saturated liquid exits the condenser. The pump, low$-$pressure turbine, and high$-$pressure turbine are all isentropic$.$ Do the following:

a$)$ Draw a physical schematic of this reheat Rankine cycle and label the properties, heats, and works on the schematic.

b$)$ Draw this cycle on a T$-$s diagram

c$)$ Determine the mass flow rate of the steam in the cycle in $\backslash (\backslash$mathrm$\{$kg$\}/\backslash$mathrm$\{$s$\}\backslash ).$

d$)$ Determine the cycle efficiency.