Effect of fall in sink on efficiency of a heat engine

Consider a reversible heat engine is operating between a source at T1 and a sink at T2. If T2 decreases, the efficiency of the heat engine ______



a. decreases
b. increases ---
c. remains constant
d. none of the above

Correct Answer: b. increases

Explanation:

The efficiency of a reversible heat engine is operating between a source at T1 and a sink at T2 is given by,

η = Work done / Heat supplied

ηrev = ηmax = ( T1 – T2 ) / T1

ηrev = 1 – (T2/T1)

From the above equation, as T2 decreases the efficiency increases and tends towards 100%
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