Question

Making use of the Clausius inequality, demonstrate that all cycles having the same maximum temperature T_max and the same minimum temperature T_min are less efficient compared to the Carnot cycle with the same T_max and T_min.

Answer 1

We write Claussius inequality in the from

where dQ is the heat transeferred to the system but d₂ Q is heat reject by the system, both are +ve and this explain he minus sign before d₂Q,

In this inequality T_max>T>T_min and we can write