Energy, temperatures and efficiency

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The discussion focuses on calculating the maximum efficiency of a steam engine given specific heat input and temperatures of the hot and cold reservoirs. The key equation to use is the Carnot efficiency formula, which depends solely on the temperatures of the hot and cold sources. The user expresses confusion about the problem but is directed to resources like Wikipedia for clarification. The importance of understanding the relationship between temperature and efficiency in heat engines is emphasized. Overall, the conversation highlights the need for familiarity with fundamental thermodynamic principles.
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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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