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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 combinedcycle efficiency is
  • a)
    50%
  • b)
    44%
  • c)
    38%
  • d)
    55%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
For two cycles coupled in series, the topping cycle has an efficiency ...
 (1 -h) = (1 -h )(1 -h )(1 -h ).................................................... ........... i1 -hm ) or n = n1 + n2 - n1n2 =(0.30 + 0.2 - 0.3 x 0.2)x 100% = 44%
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Most Upvoted Answer
For two cycles coupled in series, the topping cycle has an efficiency ...
Calculation of Overall Efficiency of Coupled Cycles

Given:

Efficiency of Topping Cycle = 30%

Efficiency of Bottoming Cycle = 20%


To find:

Overall Efficiency of Coupled Cycles

Solution:

Overall efficiency of coupled cycles can be calculated using the following formula:

Overall Efficiency = (Efficiency of Topping Cycle) x (Efficiency of Bottoming Cycle)

Substituting the given values, we get:

Overall Efficiency = (30/100) x (20/100) = 6/100 = 6%

Therefore, the overall efficiency of coupled cycles is 6%.

Reasoning:

When two cycles are coupled in series, the exhaust heat of the topping cycle is used as the input heat for the bottoming cycle. This results in an increase in the overall efficiency of the system. The overall efficiency of the coupled cycles is the product of the efficiencies of the individual cycles. In this case, the efficiency of the topping cycle is 30% and the efficiency of the bottoming cycle is 20%. Multiplying these efficiencies gives an overall efficiency of 6%.

Conclusion:

The overall efficiency of coupled cycles with a topping cycle efficiency of 30% and a bottoming cycle efficiency of 20% is 6%.
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Community Answer
For two cycles coupled in series, the topping cycle has an efficiency ...
For combined efficiency ,
n = n1+n2 - n1�n2
n= 0.30 + 0.20 - 0.30�0.20
n = 0.44 or 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 combinedcycle efficiency isa)50%b)44%c)38%d)55%Correct answer is option 'B'. Can you explain this answer?
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