Real properties

Recommended data for the real hydration parameters of the proton and the real partial molar variables of the aqueous proton (book Table 5.23). The reported data includes the real hydration free energy ΔsĜɵ[Hg+], the real hydration enthalpy ΔsĤɵ[Hg+] and the real hydration entropy ΔsŜɵ[Hg+] of the gas-phase proton, the real partial molar entropy ŝɵ[Haq+], the real partial molar heat capacity ĉPɵ[Haq+], the real partial molar volume v[Haq+], the real partial molar volume-compressibility k^Tɵ[Haq+] and the real partial molar volume-expansivity âPɵ[Haq+] of the aqueous proton, the real absolute electrode potential of the reference hydrogen electrode V^H,watɵ and its temperature derivative ∂TV^H,watɵ, as well as the metal-solution Volta potential difference of the reference hydrogen electrode ΔψH(Pt),watɵ, assuming platinum Pt as metal. The standard states are according to the bbmeT convention (reference pressure Pο=1 bar, reference molality bο=1 mol·kg-1 and reference temperature T-=298.15 K; standard state for the free electron according to the warm-electron convention: ideal-gas at temperature T-, according to Fermi-Dirac statistics; Fermi-Dirac statistics is also applied for the gas-phase standard state of the proton). The solvation parameters and partial molar variables in solution are assumed here to pertain to the standard (ΔsĜɵ[Hg+], ΔsĤɵ[Hg+], ΔsŜɵ[Hg+], ŝɵ[Haq+], ĉPɵ[Haq+]) or the density-corrected (v^ɵ*[Haq+], k^Tɵ*[Haq+], âPɵ*[Haq+]) variant, which represents the most likely situation, but may not necessarily be the case in reality. The real solvation free energy ΔsĜɵ[Hg+] is identical in the two variants.

Property                                         Unit                                              Value

The recommended data and error estimates are based on the analysis of 24 (partial) experimental data sets from 22 literature sources. The entries  ΔsŜɵ[Hg+],  ΔsĤɵ[Hg+], V^H,watɵ, ∂TV^H,watɵ and  ΔψH(Pt),watɵ (but not the corresponding error estimates) represent redundant data, i.e. can be derived from data in this and other tables. The entry ΔψH(Pt),watɵ is calculated from V^H,watɵ (this table) and ωPt (previous table). Note: The notations k^, v^ and V^ are meant to represent k, v and V with a circumflex (hat), which are not available in the HTML Unicode standard.

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