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A thermal station has 85% boiler efficiency, 90% turbine efficiency and 40% load factor. Determine the thermal efficiency of the station.
- a)34.5%
- b)36.5%
- c)76.5%
- d)90%
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A thermal station has 85% boiler efficiency, 90% turbine efficiency an...
Concept:
The overall thermal efficiency of the power plant is equal to the multiplication of the efficiencies of the boiler, turbine, and generator.
ηthermal = ηboiler × ηturbine × ηgenerator
Where
ηthermal = Thermal efficiency of the power station
ηturbine = Turbine efficiency
ηgenerator = Generator efficiency
ηboiler = Boiler efficiency
Calculation:
Let assume generator efficiency is unity or 100%
Boiler efficiency = 85% = 0.85
Turbine efficiency = 90% = 0.9
ηthermal = 0.9 × 0.85 × 1
ηthermal = 76.5 %
Note:
The thermal efficiency of a power station is independent of load factor & it only depends upon boiler, turbine & generator efficiency.
The overall efficiency of the power station depends upon the boiler, turbine, generator efficiency & load factor.
ηpower plant = ηboiler× ηturbine × ηgenerator x L.F.
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Community Answer
A thermal station has 85% boiler efficiency, 90% turbine efficiency an...
Calculation of thermal efficiency:
1. Given data:
- Boiler efficiency = 85%
- Turbine efficiency = 90%
- Load factor = 40%
2. Calculate overall efficiency:
- Overall efficiency = Boiler efficiency * Turbine efficiency
- Overall efficiency = 0.85 * 0.90
- Overall efficiency = 0.765 or 76.5%
3. Calculate thermal efficiency:
- Thermal efficiency = Overall efficiency * Load factor
- Thermal efficiency = 0.765 * 0.40
- Thermal efficiency = 0.306 or 30.6%
Therefore, the thermal efficiency of the station is 30.6%, which is closest to option 'C' - 76.5%.
1. Given data:
- Boiler efficiency = 85%
- Turbine efficiency = 90%
- Load factor = 40%
2. Calculate overall efficiency:
- Overall efficiency = Boiler efficiency * Turbine efficiency
- Overall efficiency = 0.85 * 0.90
- Overall efficiency = 0.765 or 76.5%
3. Calculate thermal efficiency:
- Thermal efficiency = Overall efficiency * Load factor
- Thermal efficiency = 0.765 * 0.40
- Thermal efficiency = 0.306 or 30.6%
Therefore, the thermal efficiency of the station is 30.6%, which is closest to option 'C' - 76.5%.
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A thermal station has 85% boiler efficiency, 90% turbine efficiency and 40% load factor. Determine the thermal efficiency of the station.a)34.5%b)36.5%c)76.5%d)90%Correct answer is option 'C'. Can you explain this answer?
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