The energy required by the engine from the reservoir to do of work is .
Further Explanation:
Given:
The temperature of the first reservoir is or .
The temperature of the second reservoir is or .
Concept:
The maximum possible efficiency of a heat engine working between the energy reservoirs at different temperatures is:
Here, is the efficiency of the engine, is the temperature of the first reservoir and is the temperature of the second reservoir.
Substitute the values of and in above expression.
Now the efficiency of the engine is of its maximum possible efficiency.
The efficiency of the engine is defined as the ratio of the work done to the amount of energy extracted by the engine.
Substitute the values of and in above expression.
Thus, the energy required by the engine from the reservoir to do of work is .
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Answer Details:
Grade: College
Subject: Physics
Chapter: Heat Engine
Keywords:
Heat engine, energy reservoirs, 30% of maximum possible efficiency, heat extracted, hot reservoir, efficiency, 20 C, 600 C, 1000 J of work.