Efficiency of a Carnot engine is 0.2.When the temperature of the sink alone is decreased by 150K, the efficiency of the engine gets doubled.
Find the temperature of the source and the sink.
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Efficiency of a Carnot engine is 0.2.When the temperature of the sink alone is decreased by 150K, the efficiency of the engine gets doubled.
Find the temperature of the source and the sink.
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Answer:
Source temperature is 750 K and sink temperature is 600 K
Explanation:
We have given firstly the efficiency of the Carnot cycle is 0.2
We know that efficiency of Carnot cycle is given by
Here
So -------eqn 1
Now if sink temperature is decreases by 150 then efficiency is doubled
So --------eqn
Now multiplying equation 1 by 2 and then equating eqn 1 and eqn 2
Now using this
As
So source temperature is 750 K and sink temperature is 600 K