What is the Kremser - Souders - Brown Equation?
In unit operation design calculations, it is useful to find out the quality of separation for a given number of stages. It is also useful to find the required number of stages if the product recovery is specified. The development was first given by Kremser in 1930, and by Souders and Brown in 1932. The resulting equations are referred to as the KSB or Kremser equations. These equation were originally developed for gas absorption operation in a plate column, however, it is applicable to other mass transfer operations as well (for example, counter current adsorption).
What is Liquid-Liquid Extraction?
Liquid–liquid extraction (LLE), also known as solvent extraction, is a method to separate compounds or metal complexes, based on their relative solubilities in two different immiscible liquids, usually water (polar) and an organic solvent (non-polar). There is a net transfer of one or more species from one liquid into another liquid phase, generally from aqueous to organic. The transfer is driven by chemical potential, i.e. once the transfer is complete, the overall system of chemical components that make up the solutes and the solvents are in a more stable configuration (lower free energy). The solvent that is enriched in solute(s) is called extract. The feed solution that is depleted in solute(s) is called the raffinate.
How to Calculate Number of Extraction Stages by Kremser Equation?
Number of Extraction Stages by Kremser Equation calculator uses Number of Equilibrium Extraction Stages = log10(((Mass Fraction of Solute in the Feed-(Mass Fraction of Solute in the Solvent/Distribution Coefficient of Solute))/(Mass Fraction of Solute in the Raffinate-(Mass Fraction of Solute in the Solvent/Distribution Coefficient of Solute)))*(1-(1/Extraction Factor))+(1/Extraction Factor))/(log10(Extraction Factor)) to calculate the Number of Equilibrium Extraction Stages, The Number of Extraction Stages by Kremser Equation formula is defined as the calculation for number of stages for extraction operation according to the Kremser Souders Brown equation. Number of Equilibrium Extraction Stages is denoted by N symbol.
How to calculate Number of Extraction Stages by Kremser Equation using this online calculator? To use this online calculator for Number of Extraction Stages by Kremser Equation, enter Mass Fraction of Solute in the Feed (z_{C}), Mass Fraction of Solute in the Solvent (y_{s}), Distribution Coefficient of Solute (K_{Solute}), Mass Fraction of Solute in the Raffinate (x_{C}) & Extraction Factor (ε) and hit the calculate button. Here is how the Number of Extraction Stages by Kremser Equation calculation can be explained with given input values -> 0.26809 = log10(((0.5-(0.05/2.6))/(0.35-(0.05/2.6)))*(1-(1/2.4))+(1/2.4))/(log10(2.4)).