$($Sandler $5\mathrm{.}12)$ Electrical power is to be produced from a steam turbine connected to a nuclear reactor. Steam is obtained from the reactor at $540K$ and $\frac{36}{b}ar.$ the turbine exit pressure is $1\mathrm{.}0$ bar and the turbine is adiabatic.

a$)$ Compute the maximum work per kilogram of steam that can be obtained from the turbine. A clever chemical engineer has suggested that the single$-$stage turbine considered here be replaced by a two$-$stage adiabatic turbine, and that the steam exiting from the first stage be returned to the reactor and reheated at constant pressure $540K,$ and then fed to the second stage of the turbine.

b$)$ Compute the maximum work obtained per kilogram of steam if the two$-$stage turbine is used and the exhaust pressure of the first stage is $P=\frac{18\mathrm{.}5}{b}ar.$

c$)$ Compute the maximum work obtained per kilogram of steam if the two$-$stage turbine is used and the exhaust pressure of the first stage is $P=6$ bar.

d$)$ Compute the heat absorbed per kilogram of steam in the reheating steps in parts $($b$)$ and $($c$).$