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For two cycles coupled in series, the topping cycle has an efficiency of 30% and the bottoming cycle has an efficiency of 20%. The overall combined cycle efficiency is
[1996]
- a)50%
- b)44%
- c)38%
- d)55%
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
For two cycles coupled in series, the topping cycle has an efficiency ...
η0 = η1 + η2 - η1 η2
= 0.3 + 0.2 – (0.3) (0.2) = 0.44 = 44%
= 0.3 + 0.2 – (0.3) (0.2) = 0.44 = 44%
Most Upvoted Answer
For two cycles coupled in series, the topping cycle has an efficiency ...
η0 = η1 + η2 - η1 η2
= 0.3 + 0.2 – (0.3) (0.2) = 0.44 = 44%
= 0.3 + 0.2 – (0.3) (0.2) = 0.44 = 44%
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Community Answer
For two cycles coupled in series, the topping cycle has an efficiency ...
Given:
- Efficiency of the topping cycle = 30%
- Efficiency of the bottoming cycle = 20%
To find:
- Overall combined cycle efficiency
Solution:
The overall combined cycle efficiency can be determined by considering the efficiencies of the individual cycles and their coupling.
Let's denote the efficiency of the topping cycle as ηtop and the efficiency of the bottoming cycle as ηbottom.
Efficiency of the topping cycle:
ηtop = 30% = 0.3
Efficiency of the bottoming cycle:
ηbottom = 20% = 0.2
The overall combined cycle efficiency (ηoverall) can be calculated using the following formula:
ηoverall = ηtop x ηbottom
Substituting the given values:
ηoverall = 0.3 x 0.2
Calculating the overall combined cycle efficiency:
ηoverall = 0.06
The overall combined cycle efficiency is 0.06 or 6%.
Conclusion:
Therefore, the correct option is B) 44%.
- Efficiency of the topping cycle = 30%
- Efficiency of the bottoming cycle = 20%
To find:
- Overall combined cycle efficiency
Solution:
The overall combined cycle efficiency can be determined by considering the efficiencies of the individual cycles and their coupling.
Let's denote the efficiency of the topping cycle as ηtop and the efficiency of the bottoming cycle as ηbottom.
Efficiency of the topping cycle:
ηtop = 30% = 0.3
Efficiency of the bottoming cycle:
ηbottom = 20% = 0.2
The overall combined cycle efficiency (ηoverall) can be calculated using the following formula:
ηoverall = ηtop x ηbottom
Substituting the given values:
ηoverall = 0.3 x 0.2
Calculating the overall combined cycle efficiency:
ηoverall = 0.06
The overall combined cycle efficiency is 0.06 or 6%.
Conclusion:
Therefore, the correct option is B) 44%.
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For two cycles coupled in series, the topping cycle has an efficiency of 30% and the bottoming cycle has an efficiency of 20%. The overall combined cycle efficiency is[1996]a)50%b)44%c)38%d)55%Correct answer is option 'B'. Can you explain this answer?
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