Energy, temperatures and efficiency

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SUMMARY

The discussion centers on calculating the maximum efficiency of a steam engine using the Carnot efficiency formula. The engine produces 2.4 kJ of work per cycle with a heat input of 6 kJ, operating between a hot source temperature of 600 °C and a cold sink temperature of 100 °C. The maximum efficiency can be determined using the temperatures of the hot and cold reservoirs, as outlined in the Carnot efficiency equation. Participants emphasize the importance of understanding this concept for solving related problems effectively.

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  • Understanding of Carnot efficiency and its significance in thermodynamics
  • Familiarity with the concepts of heat engines and thermal reservoirs
  • Basic knowledge of energy conversion and work output calculations
  • Ability to apply temperature measurements in Celsius to efficiency equations
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  • Research the Carnot efficiency formula and its derivation
  • Explore examples of heat engines and their efficiency calculations
  • Study the impact of temperature differences on engine performance
  • Learn about real-world applications of thermodynamic principles in engineering
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Students preparing for exams in thermodynamics, engineers working with heat engines, and anyone interested in the principles of energy efficiency in mechanical systems.

Flucky
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Hi all

Working through a past paper as I have an exam tomorrow and can't quite see where to start with the following question.

Homework Statement



A steam engine produces 2.4 kJ of work per cycle for a heat input of 6 kJ. If the temperature of the hot source for the engine is 600 °C and the temperature of the cold sink is 100°C, what is the maximum possible efficiency of the engine?

Homework Equations



The only equations I can think of relating to this question involve other variables that aren't given. My initial thought was that as we're finding the efficiency any unknown values will cancel each other out, but I don't seem to get anywhere.

Could somebody please point me in the direction of what equation I should be looking at?

The annoying thing is it's only a 2 mark question!

Thanks in advance.
 
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They are asking for the maximum efficiency, for a heat engine, this is also called the Carnot efficiency. This efficiency can be expressed with what you are given. Check wikipedia for the formula (it only depends on the temperatures of the hot and cold reservoirs) :) .
 
rock.freak667 said:
They are asking for the maximum efficiency, for a heat engine, this is also called the Carnot efficiency. This efficiency can be expressed with what you are given. Check wikipedia for the formula (it only depends on the temperatures of the hot and cold reservoirs) :) .

Thanks a lot for that. I guess I missed the lecture on it :p

Thanks for replying as well.
 

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