isosteric enthalpy of adsorption

https://doi.org/10.1351/goldbook.I03313
When the addition of the differential amount of component \(i\) \(\mathrm{d}n_{i}^{\sigma }\) or \(\mathrm{d}n_{i}^{\text{s}}\) is effected at constant pressure \(p\), the differential molar @[email protected] of adsorption, \(\Delta _{a}H_{i}^{\sigma}\) or \(\Delta _{a}H_{i}^{\text{s}}\) also called the isosteric @[email protected] of adsorption (\(q^{\text{st}}\)) is defined as: \[\Delta _{a}H_{i}^{\sigma} = -q^{\text{st},\sigma} = U_{i}^{\sigma} - H_{i}^{\text{g}}\] \[\Delta _{a}H_{i}^{\text{s}} = -q^{\text{st},\sigma} = H_{i}^{\sigma} - H_{i}^{\text{g}}\] where \(H_{i}^{\text{s}}=(\frac{\partial H^{\text{s}}}{\partial n_{i}^{\text{s}}})_{T,p,m,n_{j}^{\text{s}}}\) and \(H_{i}^{\text{g}}\) is the partial molar @[email protected] of component \(i\) in the gas phase, i.e. \((\frac{\partial H^{\text{g}}}{\partial n_{i}^{\text{g}}})_{T,p,n_{i}^{\text{g}}}\)
Source:
PAC, 1972, 31, 577. (Manual of Symbols and Terminology for Physicochemical Quantities and Units, Appendix II: Definitions, Terminology and Symbols in Colloid and Surface Chemistry) on page 603 [Terms] [Paper]