The power machines turbine listed below provides specificati

The power machines turbine listed below provides specifications for the inlet flow rate, pressure, and temperature of a small turbine. If this turbine were to operate adiabatically and reversibly with an outlet pressure of 1 bar, how much power (in MW) could be generated?

Solution

Referring to steam tables -

Inlet Conditions:

Pressure = 2.9 bar; Temp = 410 C; V(specific volume) = 1.0833 m3/kg

m = 220 m3/hr = 3.667 m3/s = 3.6667/1.0833 = 3.3847 Kg/s

h_i = 3296.42 KJ/kg

Final Consitions:

Pressure = 1 bar; T =100 C (assuming dryness fraction =1 at the exit of turbine)

h₂ = 2675.53 KJ/kg

W = m(h1 - h2) = 3.3847*(3296.42 - 2675.53) = 2101.526 KW = 2.101 MW