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in Thermodynamics by (34.7k points)
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Two Carnot engines A and B are working in series. First engine A takes heat at 900 K and gives heat to the sink at T K. Another engine B, takes the heat from A and emits it to sink at 400 K. Calculate the temperature T in following conditions :
(i) when same work is done by both the engines.
(ii) when efficiency of both the engines is equal.

1 Answer

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by (49.6k points)
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Best answer

(i) When same work is done by both the engines,
Let’s assume that engine A takes heat Q1 from the source and gives heat Q2 to the sink, then
Carnot cycle

Now, lets assume engine Stakes heat Q2 from its source (at temperature T) and gives away Q3 to its sink (at temperature T = 400K). Then again from Carnot’s cycle.

(ii) When both engines have same efficiency.

Efficiency of engine A

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