A heat engine has an efficiency of 35.0% and receives 150 J of heat per cycle. How much heat does it exhaust in each cycle?
A) zero
B) 52.5 J
C) 97.5 J
D) 150 J

Question

Quizplus · Accepted Answer

The efficiency formula for a heat engine is: efficiency = (work output/heat input) x 100%
Since the work output is not given in the problem, we can use the fact that the work output is equal to the difference between the heat input and the heat exhausted. That is, work output = heat input - heat exhausted.
Substituting these values into the efficiency formula, we get:
35.0% = ((heat input - heat exhausted)/heat input) x 100%
0.35 = (heat input - heat exhausted)/heat input
Heat input = 150 J
0.35 x 150 J = heat input - heat exhausted
Heat exhausted = 52.5 J
Therefore, the answer is choice C, 97.5 J.

A Heat Engine Has an Efficiency of 35