(Solved): Problem 3 (60 points) Air and steam flow through the devices in the diagram below. The air enters t ...

Problem 3 (60 points) Air and steam flow through the devices in the diagram below. The air enters the turbine at $1580\mathrm{K},13$ bar and leaves at $880\mathrm{K}$. The steam enters the turbine at $520{}^{?}\mathrm{C},100$ bar and exits at 0.08 bar. Both turbines operate with an isentropic efficiency of $85\%$. The air exits the heat exchanger at $400\mathrm{K}$ and 1 bar. The air flows at $370\mathrm{kg}/\mathrm{s}$ and the steam flows at $60\mathrm{kg}/\mathrm{s}$. Assume constant specific heats for the air, evaluating at $300\mathrm{K}$. Determine: a. (30 points) Power produced by the steam turbine (MW) b. (10 points) Power produced by the air turbine (MW) c. (10 points) Enthalpy ( $\mathrm{kJ}/\mathrm{kg})$ and state of the water entering the heat exchanger d. (10 points) Draw the path of the steam through the system on a T-S diagram. Label all pressure lines (submit via your partial work submission).