So by Stochiometry I get that by the end of extraction 2, all the Benzoic Acid should be precipitated, there is no more left over for extraction 3
By stoichiometry it is still around 1/3 of benzoic acid to remove from solution.
In reality - slightly less due to it's solubility, but this is unimportant.
Do I have the necessary information to calculate the partition coefficient? I don't think I do as i have the solubilities however I do not have the solubilities in each of the different layers (only have solubilities in aqueous, not for organic layer).
Solubility in CH
2Cl
2 won't help you either, as the partition coefficient is ratio of concentration in organic solvent and water.
Concentration ≠ solubility.
https://en.wikipedia.org/wiki/Partition_coefficient#Log_P_from_log_SIf the solubility of an organic compound is known or predicted in both water and 1-octanol, then log P can be estimated as log P = log So - log SH2O
But this is only an estimation.