A \(5000-\mathrm{kg}\) batch of pyridine-water solution, \(50 \mathrm{wt} \%\) pyridine, is to be extracted with an equal weight of pure chlorobenzene. The raffinate from the first extraction is to be reextracted with a weight of pure solvent equal to the raffinate weight, and so on ( \(S_{2}=R_{1}, S_{3}=R_{2}\), etc.). How many ideal stages and what total solvent are required to reduce the concentration of pyridine to no more than \(2 \mathrm{wt} \%\) in the final raffinate?