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Q. 30

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 595

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Short Answer

A heat engine operating between energy reservoirs at and has of the maximum possible efficiency. How much energy must this engine extract from the hot reservoir to do of work?

The energy extract from the hot reservoir is .

See the step by step solution

Step by Step Solution

Step 1: Formula for the energy extract from the hot reservoir 

The energy extracted from the hot reservoir can be calculated using the following heat engine efficiency expression:

where:

is the work done;

is the energy extracted from the hot reservoir.

Step 2: Calculation for energy extraction

Using,

The maximum efficiency,

Note that the temperatures must be in .

The efficiency of the heat engine is:

Substitute all values,

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