# How can dQ/T be interpreted as a system's level of disorder?

Long before statistical mechanics, entropy was introduced as:

$dS = \frac{dQ}{T}$

At the time when entropy was introduced in this manner, was it known that entropy represents how "disordered" a system is? If so, how can one tell that entropy represents the disorder of a system from the above definition?

If however it wasn't known that $S$ was related to the disorder of a system, what was the interpretation of $S$ at the time of formulation of the above formula?

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– Nathaniel Feb 22 '13 at 9:09