Why is adsorption is always exothermic ?

When adsorbate (gas or liquid mostly) absorbed then their entropy get reduced i.e. ΔS is negative. For every spontaneous process ΔG must be negative. ΔG=ΔH-TΔS, as TΔS is positive(ΔS is negative) ΔH must be negative in order to make ΔG negative . Hence ΔH is negative that means the reaction is exothermic. Hence every adsorption reactions are exothermic.