86.7k views
3 votes
An engine absorbs 2150 J as heat from a hot reservoir and gives off 750 J as heat to a cold reservoir during each cycle. What is the efficiency of the engine?

2 Answers

4 votes

Final answer:

The efficiency of the engine is 34.88%

Step-by-step explanation:

The efficiency of an engine is calculated by dividing the work done by the engine by the heat absorbed from the hot reservoir. In this case, the engine absorbs 2150 J and gives off 750 J of heat during each cycle. The efficiency can be calculated as follows:

Efficiency = (Work done / Heat absorbed) * 100%

Efficiency = (750 J / 2150 J) * 100% = 34.88%

To calculate the efficiency of an engine, you can use the formula efficiency = (W/Qh) * 100%, where W is the work output of the engine and Qh is the heat absorbed from the hot reservoir. For the engine in question, which absorbs 2150 J of heat and gives off 750 J, the work output is the difference between the heat absorbed and the heat released to the cold reservoir, which is W = 2150 J - 750 J = 1400 J. Hence, the efficiency of the engine is (1400 J / 2150 J) * 100% which equals approximately 65.12%.

User Gonzalo Odiard
by
7.8k points
5 votes
Input = 2,150 J; Output = 750 J
The efficiency of the engine = Output / Input = 750 J / 2,15 J = 0.3488
Answer: 0.3488 or 34.88 %
User Ed Fernandez
by
7.7k points