A limiting. adsorption rate constant beta(1) was defined as the value at which the mixed diffusive-kinetic controlled surface tension profile is indistinguishable from the diffusion-controlled one (Hsu et al. J. Chem. Eng. Jpn. 1996, 29, 634). The value of beta(1) depends on surfactant, bulk concentration, the shape of fluid interface, and the process (adsorption or desorption). In this work, the dependence of beta(1) on surfactant and bulk concentration (C) was examined. First, the dependence of beta(1) vs C of eight well-known surfactants was investigated. In the second part, the effects of equilibrium constant (surfactant activity), molecular interaction, and maximum surface concentration were systematically studied. The difference of beta(1) for a planar and a spherical interface with 0.1 cm radius of curvature was also examined. A universal relationship in terms of dimensionless variables was obtained. Using this universal relationship, one needs only the model constants of adsorption isotherm of surfactant to evaluate the value of beta(1) at any concentration and to know the dependence of beta(1) as a function of surfactant concentration.