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Question

The steam consumption of a steam power plant is 40 tonnes per shift of 8 hours when developing 300 kW power.
Saturated steam enters the turbine at 16 bar and leaves at 0.2 bar. The properties of steam are given below.

At 16 bar ,

hg=2976.2 kJ/kg

Sg=6.282 kJ/kgK

At 0.2 bar ,

hf=180.1 kJ/kg

sf=0.612 kJ/kgK

The steam at outlet of turbine has 11% moisture in it. Neglect pump work thermal efficiency of the plant is

A
6.82%
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B
7.72%
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C
8.41%
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D
9.86%
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Solution

The correct option is B 7.72%
Ms=40 tonnes8 hours=5 tones/hr=5000 kg/hr



h1=hg at 16 bar=2976.2 kJ/kg

h3=hf at 0.2 bar=180.1 kJ/kg

Power=300 kW

Thermal efficiency=PowerHeat supplied

ηth=3600×Pms(h1hfs)

=3600×3005000(2976.2180.1)×100%=7.72%

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