Question: A heat engine is found to have an efficiency of 0.1. If it does 260 J of work per cycle, how much heat does the engine absorb and discharge each cycle?

Answer: The heat absorbed by the engine per cycle is 2,600 J and the heat discharged is 2,340 J.

Calculating Heat Absorbed and Discharged in a Heat Engine

26 Nov 2021

Explanation:

Efficiency Calculation: The efficiency of a heat engine is given by the formula:

Efficiency = Work / Heat Absorbed

Given that the efficiency of the engine is 0.1 and it does 260 J of work per cycle, we can rearrange the formula to solve for the heat absorbed:

Heat Absorbed = Work / Efficiency

Substituting the values, we get:

Heat Absorbed = 260 J / 0.1 = 2,600 J

Heat Discharged Calculation: Since the efficiency is defined as the ratio of work output to heat absorbed, the heat discharged can be calculated as:

Heat Discharged = Heat Absorbed - Work

Calculating the heat discharged:

Heat Discharged = 2,600 J - 260 J = 2,340 J

Thus, none of the given options are correct.

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