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  • A heat engine operates between a hot reservoir at a temperature of 500 K and a cold reservoir at a temperature of 300 K. What is the maximum theoretical efficiency of this heat engine?<d

A heat engine operates between a hot reservoir at a temperature of 500 K and a cold reservoir at a temperature
of 300 K. What is the maximum theoretical efficiency of this heat engine?

Option: 1

30


Option: 2

40


Option: 3

60


Option: 4

50


Answers (1)

best_answer

The maximum theoretical efficiency of a heat engine operating between two reservoirs is given by the Carnot efficiency formula:

\mathrm{\text { Efficiency }=1-\frac{T_c}{T_h}}

where \mathrm{T_h} is the absolute temperature of the hot reservoir, and \mathrm{T_c} is the absolute temperature of the cold reservoir.
Substitute the given values:

\mathrm{T_h=500 \mathrm{~K}, \quad T_c=300 \mathrm{~K}}

Calculating the maximum efficiency:

\mathrm{\text { Efficiency }=1-\frac{300}{500}=1-0.6=0.4}

The maximum theoretical efficiency of this heat engine is 40
So, option B is correct

Posted by

Ritika Jonwal

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