Heat Engine Cycle: Answers to (i), (ii) & (iii)

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SUMMARY

This discussion focuses on the analysis of two reversible heat engines operating in series, utilizing the Carnot cycle between a heat source at 600°C and a sink at 30°C. The calculated outputs include the temperature at which heat is supplied to the second engine (241.3°C), the total heat taken from the source (679.1 kJ), and the work done by each engine (279.1 kJ for the first engine and 164.4 kJ for the second). The discussion emphasizes the importance of understanding Carnot efficiency to solve such thermodynamic problems.

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Does anyone can help me in this question?

Two reversible heat engines operate in series between a source at 600C and a sink at 30C.
If the engines have equal efficiencies and the first rejects 400 kJ to the second, calculate:
(i) the temperature at which heat is supplied to the second engine;
(ii) the heat taken from the source;
(iii) the work done by each engine.
Assume that each engine operates on the Carnot cycle.
Answers: 241.3C; 679.1 kJ; 279.1 kJ and 164.4 kJ.


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First of all draw the engine diagram showing the heat and work flows. What is the equation to get the carnot efficiency of an engine?
 

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