How to calculate Othmer Tobias and hand correlation? because currently right now I want to interpret my ternary LLE data
Ahmad Fawzy
Determine the mole fraction of each component in the organic phase (x1) and aqueous phase (x2) at equilibrium for several different compositions of the two phases. Plot x1 vs. x2 for each component in the system. Use the data to calculate the Othmer Tobias and Hand coefficients for each component: Othmer Tobias coefficient (OT) = (x1 + x2 - 1) / (x1 - x2) Hand coefficient (H) = x1 / (1 - x1) Plot the Othmer Tobias or Hand coefficient for each component vs. the mole fraction of that component in the organic phase. Fit a straight line to the data, and use the slope and intercept of the line to calculate the separation factor (α) and the distribution coefficient (D) for each component. Separation factor (α) = slope / (1 - slope) Distribution coefficient (D) = intercept / (1 - slope) Interpret the results. The separation factor indicates the degree of selectivity between the two phases for a given component, while the distribution coefficient indicates the relative distribution of that component between the two phases.
To calculate the Othmer Tobias and Hand correlation, you will need to have experimental data for the ternary liquid-liquid equilibrium (LLE) system you are studying. Here are the general steps for calculating these correlations:
Note that the Othmer Tobias and Hand correlations are empirical correlations and may not accurately predict the behavior of a system outside of the range of experimental data used to generate the correlation. Additionally, these correlations assume ideal behavior and may not be accurate for systems that deviate significantly from ideality.
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