Problem $3(16$ points$)$

A "boiler$-$superheater" $($a type of heat exchanger$)$ used in steam power cycles is shown in the figure below. Water enters the unit, a fraction of the water is removed as saturated vapor, and the remainder is heated to a superheated vapor.

a$)$ Populate a scorecard of the phase, temperature, pressure, and specific enthalpy at the three states. $(5$ points$)$

b$)$ Sketch the process and states on a p$-$v diagram, including the vapor dome. $(4$ points$)$

c$)$ What is the rate of heat addition, in kW$?(7$ points$)$