Which one of the following is not applicable to the phenomenon of adsorption?

The correct option is D $△H>0$

We know,

∆G = ∆H - T ∆S

Enthalpy change during the phenomenon of adsorption is negative because, during adsorption, there is always a decrease in entropy and so to make $△G$ negative, $△H$ must be negative.
So, adsorption is an exothermic process and hence it can not have $△H>0.$

So, option $\left(A\right)$ is correct.