Finding Turbine Inlet State - Thermodynamics

[Magnawolf]

Homework Statement

max. Turbine work output rate: 6.0MW
Turbine isentropic efficiency: 90%
Turbine exit state (isentropic): 40KPa, x=92%
Turbine and pump actual process are assumed adiabatic

Find turbine inlet state: P_inlet, T_inlet, S_inlet

Homework Equations

W = ΔH
h = h_f + xh_fg

The Attempt at a Solution

I find h_exit = h_f + 0.92h_fg

where h_f = h_f @ 40KPa = 317.62 on sat. liquid table and h_fg=2318.4. So then I find h_exit = 2450.18 kj/kg.

Then I do W_turbine = h₁ - h_2' to find h₁ = h_inlet = 8636.1 kj/kg. I then tried to look up that h on the superheated table to find the pressure and temperature and stuff but that's way too high of a number. I need help!

 

[billy_joule]

Then I do W_turbine = h₁ - h_2' to find h₁ = h_inlet = 8636.1 kj/kg. I then tried to look up that h on the superheated table to find the pressure and temperature and stuff but that's way too high of a number. I need help!

How? Where did you get W_turbine ? (units of kW/kg/s) You don't have a a mass flow rate to find W_turbine.
Have you included the entire problem statement?