Calculating Heat Engine Efficiency: What is the Energy Input?

AI Thread Summary
To calculate the energy input for the steam engine, the total thermal energy input is determined by adding the work output (300 J) to the thermal energy exhausted (1000 J), resulting in 1300 J. The efficiency of the engine is then calculated by dividing the work output by the thermal energy input, yielding an efficiency of approximately 0.231. It is emphasized that efficiency is a dimensionless ratio and does not have units. The calculation method and results are confirmed as correct. Understanding these principles is crucial for analyzing heat engine performance.
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Homework Statement


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Suppose you build a steam engine that exhausted 1000 J of thermal energy while performing 300 J of work. What is the energy input? What is the efficiency?

Homework Equations

The Attempt at a Solution



Would this be correct?


Thermal E Input = work + exhaust = 300 J + 1000 J = 1,300 J




Efficiency = work output / thermal energy input = 300 J / 1,300 J = 0.231 J


 
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The efficiency does not have units of Joules. It does not have any units, it's a ratio.
 
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nasu said:
The efficiency does not have units of Joules. It does not have any units, it's a ratio.
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