http://www.cheresources.com/extraction.shtml (http://www.cheresources.com/extraction.shtml)
. As you can see there, the best solvent would bee n-butanol or ethylacetate and the worse hexane. You can aproximate the castor oil to bee a better solvent for AA than hexane but worse than toluene. Therefore you can expect the castor oil to have the partition coeficient roughly about 0.04. Use the equation for the distribution and see how much AA you can extract from a 9% vinegar with an equal amount of castor oil. (I don't even have to calculate it to know its useless)