A heat engine has a hot reservoir of 680°C and a cold reservoir of 220°C. What is the efficiency of the engine?
T⒣=273+680=953K
T⒞ = 273+220=493K
η ==1- T⒞/T⒣=1 – (493/953)=0.483
To find the efficiency of a heat engine, we need to know the temperatures of the hot and cold reservoirs. In this case, the hot reservoir temperature is 680°C and the cold reservoir temperature is 220°C.
The efficiency of a heat engine is given by the formula: Efficiency = 1 - (Th / Tc), where Th is the temperature of the hot reservoir and Tc is the temperature of the cold reservoir.
Let's substitute the given values into the formula:
Efficiency = 1 - (680°C / 220°C)
Now, let's calculate the value:
Efficiency = 1 - (3.09)
Efficiency = -2.09
The calculated efficiency is -2.09. However, this result doesn't make sense because the efficiency of a heat engine cannot be negative. It suggests that the given temperatures might be incorrect or there could be some other error in the calculations.
Please double-check the temperatures provided and re-calculate using the correct values to find the accurate efficiency of the heat engine.