ΔS [change in entropy) and ΔH [change in enthalpy] are related by the equation ΔG= ΔH - T ΔS [Here, ΔG = change in Gibbs free energy) For adsorption of a gas, ΔS is negative because randomness decreases. Thus, in order to make ΔG negative [for spontaneous reaction], ΔG must be highly negative because reaction is exothermic. Hence, for the adsorption of a gas, if ΔS is negative, therefore, ΔH should be highly negative.