This paper communicates a more general derivation of the Iyer-Pickering-Zamenzadeh (IPZ) analysis of hydrogen absorption. It is applicable to metal/electrolyte systems under Frumkin adsorption conditions for the discharge-recombination process of hydrogen evolution, as well as to Langmuir adsorption conditions covered by the original derivation. As such, it does not require prior knowledge of the dimensionless factor f that describes the deviation from ideal Langmuir behavior. This analysis appropriately reduces to the original IPZ analysis for Langmuir adsorption conditions for which f = 0. It yields the value of (f) as well as the other unknowns in the system: the discharge (k(1)) and recombination (k(2)) rate constants, the exchange current density (i(o)), the kinetic-diffusion constant (k), the hydrogen surface coverage (theta (H)), and the hydrogen concentration in the metal at the charging surface (C degrees).