Awell-insulated turbine operating at steady state develops 25 mw of power for a steam flow rate of 50 kg/s. the steam enters at 15 bar with a velocity of 61 m/s and exits as saturated vapor at 0.06 bar with a velocity of 130 m/s. neglecting potential energy effects, determine the inlet temperature, in °c.

T=332.26°C.

Explanation:

Power=25 MW  

Steam flow rate =50 kg/s

Inlet pressure at turbine=15 bar,Inlet velocity=61 m/s

Exits pressure=0.06 bar (at saturated vapor) ,exits velocity=130 m/s.

Now from first law for open system

Here given that turbine is adiabatic so Q=0

KJ/kg

kj/kg

Now from steam table

Properties of saturated steam at 0.06 bar

So

 Properties of saturated steam at 15 bar

,saturation temperature=198.32°C

If super heated steam will treat as ideal gas

3072.78=2791.5+2.1(T-198.32)

T=332.26°C

So inlet temperature to turbine  T=332.26°C.

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