Two engines are connected in series such that engine 1 operates between temperatures T₁ and Tm with T1 > Tm while engine 2 operates between temperatures Tm and T2 with Tm> T2. Engine 1 absorbs Q1 from heat bath at T1, performs work W₁, then dumps the remaining Qm to heat bath at Tm. Engine 2 absorbs the same dumped heat Qm from heat bath at Tm, performs work W2, then finally dumps the remaining Q2 into the heat bath at T2. Show that the effective efficiency of the two engines in series is given by, Eeff. 81 +82 -182, where 1 = W1/Q1 and 2 = W2/Qm. Suppose the two engines in series are reversible. Using the previous result, show that the effective efficiency is given by Eeff. = 1-T₂/T₁
Two engines are connected in series such that engine 1 operates between temperatures T₁ and Tm with T1 > Tm while engine 2 operates between temperatures Tm and T2 with Tm> T2. Engine 1 absorbs Q1 from heat bath at T1, performs work W₁, then dumps the remaining Qm to heat bath at Tm. Engine 2 absorbs the same dumped heat Qm from heat bath at Tm, performs work W2, then finally dumps the remaining Q2 into the heat bath at T2. Show that the effective efficiency of the two engines in series is given by, Eeff. 81 +82 -182, where 1 = W1/Q1 and 2 = W2/Qm. Suppose the two engines in series are reversible. Using the previous result, show that the effective efficiency is given by Eeff. = 1-T₂/T₁
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Two engines are connected in series such that engine 1 operates between temperatures T₁ and Tm with T1
> Tm while engine 2 operates between temperatures Tm and T2 with Tm > T2. Engine 1 absorbs Q1 from
heat bath at T1, performs work W1, then dumps the remaining Qm to heat bath at Tm. Engine 2 absorbs
the same dumped heat Qm from heat bath at Tm, performs work W2, then finally dumps the remaining Q2
into the heat bath at T2. Show that the effective efficiency of the two engines in series is given by,
Eeff. E1 +2 -182,
where 1 = W1/Q1 and 2 = W2/Qm.
Suppose the two engines in series are reversible. Using the previous result, show that the effective efficiency
is given by
&eff. = 1 – T₂/T₁
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