Heat and Thermodynamics

The efficiency of a Carnot engine is calculated using the formula:
η=1−‌

T‌sink ‌

T‌source ‌

Given that the absolute temperature of the source ( T‌source ‌ ) is 25% more than that of the sink ( T‌sink ‌ ), we can express this relationship as:
T‌source ‌=T‌sink ‌+‌

25×T‌sink ‌

100

Simplifying, this becomes:
T‌source ‌=1.25×T‌sink ‌
Substituting into the efficiency equation, we have:
η=(1−‌

T‌sink ‌

1.25×T‌sink ‌

)×100%
This simplifies to:
‌η=(1−‌

1

1.25

)×100%
‌η=(1−0.8)×100%
‌η=0.2×100%
Thus, the efficiency of the Carnot engine is:
η=20%