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Question: A heat engine has an efficiency \(\eta\). Temperatures of source and sink are each decreased by 100 ...

A heat engine has an efficiency η\eta. Temperatures of source and sink are each decreased by 100 K. The efficiency of the engine

A

Increases

B

Decreases

C

Remains constant

D

Becomes 1

Answer

Increases

Explanation

Solution

η=1T2T1=T1T2T1\eta = 1 - \frac { T _ { 2 } } { T _ { 1 } } = \frac { T _ { 1 } - T _ { 2 } } { T _ { 1 } }

When and T2\mathrm { T } _ { 2 } both are decreased by 100 K each, stays constant T1\mathrm { T } _ { 1 } decreases.

η\therefore \eta increases