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If x denotes the quantity of adsorbate and m denotes the quantity of adsorbent, which of the following expressions does not describe adsorption behavior?

1. x/m = f(p) at constant T.
2. x/m = f(T) at constant p.
3. p = f(T) at constant (x/m).
4. x/m = p^T

Correct answer: x/m = p^T

Solution

Valid adsorption relations are x/m = f(p) at constant T (isotherm), x/m = f(T) at constant p (isobar), and p = f(T) at constant x/m (isostere). The expression x/m = p^T is meaningless and does not describe adsorption.

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