Some New Equations to Describe Phosphate Sorption by Soils

Abstract

Phosphate sorption was studied on surface and subsurface soils sampled from the old field experiments at Askov, Denmark. Two empirical three-parameter equations. an extended Freundlich and an extended Langmuir equation are proposed and compared with the Langmuir, the Freundlich, the 'double' Langmuir. the Gunary, and the Fitter-Sutton equations.In the proposed equations the affinity parameter of the Langmuir equation and the exponent of the Freundlich equation are replaced by the term Bc-I) the value of which decreases with increasing phosphate concentration, c. On average the Freundlich equation thus modified yielded the closest fit to the sorption data. This was followed by the Fitter-Sutton, the modified Langmuir, the 'double' Langmuir, the Gunary, the Freundlich, and finally the Langmuir equation. Out of the three equations that yielded the closest fit to the sorption data the correlation between the parameters within the equations, furthermore, was least for the proposed extended Freundlich equation. Therefore, this equation may be generally suitable for describing phosphate sorption by soils. IntroductionB A R R O W (1978) gave two motives for studying sorption equations, first to understand the processes involved, and second to summarize many results in a few numbers.The objective of this paper is primarily concerned with the latter. Two three-parameter sorption equations, an extended Freundlich and an extended Langmuir equation are proposed and compared with five equations from the literature.

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