The efficiency of a carnot engine is more when the temperature of the sink is increased by 50% is 33.33%
The efficiency is defined as the work done by the engine divided by the heat supplied.
Work done is the difference between the heat supplied and heat rejected.
So, efficiency η = 1 - T₁/T₂
Where T₁ is the lower temperature and T₂ is the higher temperature.
The temperature of the sink is increased by 50%. If the lower temperature is T₁, then the higher temperature will be 1.50T₁
Substitute the value into the expression , we get
η = 1 - T₁ / 1.5T₁ x 100 %
η = 33.33 %
Thus, the efficiency of the carnot engine is 33.33 %
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