Answer :
The power output of the turbine during the steam expansion process is determined as 157 kW.
Power output of the turbine
The power output of the turbine is calculated as follows;
P(out) = m'(h₁ - h₂) - Q(loss)
where;
- m' is the mass flow rate (kg/s)
m' = (1350 kg)/(3600 s)
m' = 0.375 kg/s
From steam table for superheated water,
- h₁ at 500 ⁰C and 4 MPa = 3446 kJ/kg
- h₂ at 250 ⁰C and 0.5 MPa = 2961 kJ/kg
P(out) = m'(h₁ - h₂) - Q(loss)
P(out) = 0.375(3446 - 2961) - 25 kJ/s
P(out) = 156.88 kJ/s = 156.88 kW ≈ 157 kW
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