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%.