In each cycle of a Carnot engine, 104 J of heat is absorbed from the high-temperature reservoir and 51 J is exhausted to the lowtemperature reservoir. What is the efficiency of the engine?

the efficiency of the Carnot engine is e=0.5060 (50.96%)

Explanation:

The carnot cycle effifiency e is calculated through

e = W/Q₂

where

W = work

Q₂ = heat absorbed

Q₁ = heat exhausted

from an energy balance

W = Q₂ - Q₁ (the proportion of the heat absorbed that was not released was converted to work)

therefore

e = (Q₂-Q₁) / Q₂ = 1 - Q₁/Q₂ = 1 - 51 J/104 J = 0.5060 (50.96%)