<b>Revelations from charge-balance modeling</b>

Material accompanying "Revelations from charge-balance modeling" by Troels Ring et al. Files Kaplan-Boron.R and Schwartz 1959.R features R code to get the results and make the figures of the article. Supplementary Materials.docx demonstrate 1) calculation for a single point in Figure 2 of our article, 2) next shows how to find the mean charge on phosphate assuming only the second dissociation coefficient of phosphoric acid is relevant, and 3) explains the assignment of normal and corrected pK2 for phosphoric acid