Part 7/11:
To diminish the entropy within the chambers, the demon must acquire information regarding the gas molecules’ movements. This activity effectively contributes to the system’s information content, resulting in a higher overall entropy when the demon’s memory is factored in. Erasing this information, while seemingly a way to reduce entropy, ultimately requires energy and results in heat production, reaffirming the law that entropy cannot decrease without violating the second law of thermodynamics.
Thus, entropy is better understood as a measure of the information required to describe a system's states rather than a mere representation of disorder.