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Would a definition of heat engine efficiency as \(e = \frac{W}{{{Q_{\rm{L}}}}}\) be useful? Explain.

Short Answer

Expert verified

The added heat energy \({Q_{\rm{H}}}\) is not present in the efficiency equation. Hence, this is not a useful definition of the efficiency of the heat engine.

Step by step solution

01

Concepts

The efficiency of the heat engine is\(e = \frac{W}{{{Q_{\rm{L}}}}}\).

The most used form of the efficiency of the heat engine is\(e = 1 - \frac{{{Q_{\rm{L}}}}}{{{Q_{\rm{H}}}}}\).

02

Explanation

You know that efficiency cannot be more than one. However, in some cases, the exhaust heat is more than the work, depending on the engine. Thus, using the definition \(e = \frac{W}{{{Q_{\rm{L}}}}}\), one can get an efficiency of more than one.

Also, the added heat energy \({Q_{\rm{H}}}\) is not present in the efficiency equation. Hence, this is not a useful definition of the efficiency of the heat engine.

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