A Method to Establish Two Clausius Inequalities

두 개의 Clausius 부등식의 입증 방법

There are two Clausius inequalities. One involves the temperature of external reservoir and the other involves the temperature at the system boundary. It is shown that the former Clausius inequality can be established from a direct application of the proposition regarding the efficiency of a Carnot cycle based on an apparatus with two reservoirs. A different apparatus which also has two thermal reservoirs is utilized to compare the cyclic integral of the former inequality with that of the latter, resulting in the proof of the latter inequality.