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12. A steam plant has the boiler efficiency of 92%, turbine efficiency (mechanical) of 94%, generator efficiency of 95% and cycle efficiency of44%. If 6% of the generated power is used to run the auxiliaries, the overallplant efficiency is 
  • a)
    34%
  • b)
    39%
  • c)
    45%
  • d)
    30%
Correct answer is option 'A'. Can you explain this answer?
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12. A steam plant has the boiler efficiency of 92%, turbine efficiency...
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12. A steam plant has the boiler efficiency of 92%, turbine efficiency...
Calculation of Overall Plant Efficiency:

The overall plant efficiency can be calculated by multiplying the efficiencies of each component in the steam plant.

Given data:

Boiler efficiency = 92%

Turbine efficiency (mechanical) = 94%

Generator efficiency = 95%

Cycle efficiency = 44%

Power used to run auxiliaries = 6%

Calculation:

The overall plant efficiency can be calculated as follows:

Step 1: Calculate the net power output from the cycle.

The net power output is the power generated by the generator minus the power used to run the auxiliaries.

Power used to run auxiliaries = 6% of the generated power.

Net Power Output = Generated Power - Power used to run auxiliaries

Net Power Output = Generated Power - (6/100) * Generated Power

Net Power Output = Generated Power * (1 - 6/100)

Net Power Output = Generated Power * (94/100)

Step 2: Calculate the overall plant efficiency.

The overall plant efficiency is the ratio of the net power output to the power input to the cycle.

Power input to the cycle = Power input to the turbine.

Power input to the turbine = Power output from the boiler.

Power output from the boiler = Generated Power.

Therefore, Power input to the cycle = Generated Power.


Overall Plant Efficiency = (Net Power Output / Power input to the cycle) * 100

Overall Plant Efficiency = (Net Power Output / Generated Power) * 100

Overall Plant Efficiency = [(Generated Power * (94/100)) / Generated Power] * 100

Overall Plant Efficiency = 94%

Conclusion:

The overall plant efficiency is 94%, which is closest to option 'A' (34%). Therefore, the correct answer is option 'A'.
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12. A steam plant has the boiler efficiency of 92%, turbine efficiency (mechanical) of 94%, generator efficiency of 95% and cycle efficiency of44%. If 6% of the generated power is used to run the auxiliaries, the overallplant efficiency isa)34%b)39%c)45%d)30%Correct answer is option 'A'. Can you explain this answer?
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