Osmolalities of solutions of protein model compounds and/or KCl were measured on Wescor
Vapro 5600 Vapor Pressure Osmometers (VPO) calibrated as previously described (Cheng et al., 2016 , Knowles et al., 2015 , Cheng et al., 2017) . Differences in osmolality (ΔOsm(𝑚2,𝑚3)) between a three-component solution (𝑂𝑠𝑚(𝑚2,𝑚3)) and the corresponding two-component solutions (𝑂𝑠𝑚(𝑚2), 𝑂𝑠𝑚(𝑚3)) were calculated using Eq. 1:
These ΔOsm(𝑚2,𝑚3) quantify the free energy consequences of interactions between the two solutes in water, as shown in Eq. 2:
where μ23 is the chemical potential partial derivative (𝜕μ2/𝜕m3)T.P,m2 which quantifies the preferential interaction of solute 3 (salt) with solute 2 (model compound), relative to interactions with water (Robinson and Stokes, 1961 , Capp et al., 2009 , Cheng et al., 2020) .
Hence the slope of a plot of Δ𝑂𝑠(𝑚2,𝑚3) vs. 𝑚2𝑚3 is μ23/RT. In Eq. 2, the product 𝑚 -𝑚 / is the probability of an interaction of species 2 and 3, and
56 is the intrinsic strength of that interaction.
Kozlov A.G., Cheng X., Zhang H., Shinn M.K., Weiland E., Nguyen B., Shkel I.A., Zytkiewicz E., Finkelstein I.J., Record M.T., & Lohman T.M. (2022). How Glutamate Promotes Liquid-liquid Phase Separation and DNA Binding Cooperativity ofE. coliSSB Protein.