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Cascaded Carnot engine is an arrangement in which heat sink of one engine is source for other. If high temperature for one engine is T1, low temperature for other engine is T2 (Assume work done by both engine is same) Calculate lower temperature of first engine.
  • a)
  • b)
  • c)
    0
  • d)
     
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Cascaded Carnot engine is an arrangement in which heat sink of one eng...
Let, QH : Heat input to Ist engine
       QL : Heat rejected from Ist
       engine
       QL': Heat rejected f rom IInd             engine
Work done by Ist engine = work done by IInd engine
QH – QL = QL – QL'
2QL = QH + QL'
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Community Answer
Cascaded Carnot engine is an arrangement in which heat sink of one eng...
Work done by first carnot engine

=θ1​−θ2​


work done by second carnot engine

=θ2​−θ3​


Work done are equal


⇒θ1​−θ2​=θ2​−θ3​


⇒θ1​+θ3​=2θ2​


Also for first Carnot engine


T1​θ1​​=Tθ2​​


For second carnot engine


Tθ2​​=T2​θ3​​


⇒θ1​+Tθ2​T2​​=2T1​θ1​T​     ⎝⎜⎜⎛​θ3​=TT2​θ2​​θ2​=T1​θ1​T​​⎠⎟⎟⎞​


⇒θ1​+TT1​θ1​T2​T​=T1​2θ1​T​


⇒T1​T1​+T2​​=T1​2T​


⇒T=2T1​+T2​​
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Cascaded Carnot engine is an arrangement in which heat sink of one engine is source for other. If high temperature for one engine is T1, low temperature for other engine is T2 (Assume work done by both engine is same) Calculate lower temperature of first engine.a)b)c)0d)Correct answer is option 'B'. Can you explain this answer?
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