With a set of four equations (eq 12 -15) that are linear with respect to 𝑎, 𝑏, 𝑐, and 𝑑, we can solve for those four parameters based on ΔΔ𝐺 ‡ solv (298 K), ΔΔ𝐻 ‡ solv (298 K), and the saturation densities (𝜌 l (𝑇 )) and critical properties (𝑇 c , 𝜌 c ) of a solvent. The densities and properties of many common solvents can be obtained using open-source models, such as fluid thermodynamics packages CoolProp and Clapeyron.jl , and a machine learning model developed by Biswas et al. Since the solvent's properties are easily obtainable from the existing models, we can treat them as known values. Thus, only ΔΔ𝐺 ‡ solv (298 K) and ΔΔ𝐻 ‡ solv (298 K) are needed to solve for the four empirical parameters and hence obtain ΔΔ𝐺 ‡ solv at any temperature. The computed ΔΔ𝐺 ‡ solv (𝑇 ) values can be subsequently combined with the gas phase kinetic parameters (𝐴, 𝐸 𝑎 ) as shown in 4 to obtain a liquid phase rate constant.