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11 February, 18:27

Water vapor at 5 bar, 320°C enters a turbine operating at steady state with a volumetric flow rate of 0.65 m3/s and expands adiabatically to an exit state of 1 bar, 200°C. Kinetic and potential energy effects are negligible. Determine for the turbine: the power developed, in kW

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  1. 11 February, 19:00
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    Power = 371.28 kW

    Explanation:

    Initial pressure, P1 = 5 bar

    Final pressure, P2 = 1 bar

    Initial temperature, T1 = 320°C

    Final temperature, T2 = 160°C

    Volume flow rate, V = 0.65m³/s

    From steam tables at state 1,

    h1 = 3105.6 kJ/kg, s1 = 7.5308 kJ/kgK

    v1 = 0.5416 m³/kg

    Mass flow rate, m = V/v1

    m = 1.2 kg/s

    From steam tables, at state 2

    h2 = 2796.2 kJ/kg, s2 = 7.6597 kJ/kgK

    Power developed, P = m (h1 - h2)

    P = 1.2 (3105.6-2796.2)

    P = 371.28 kW
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