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The Hildebrand solubility parameter is the square root of the cohesive energy density: δ = Δ H v − R T V m . {\displaystyle \delta ={\sqrt {\frac {\Delta H_{v}-RT}{V_{m}}}}.} The cohesive energy density is the amount of energy needed to completely remove a unit volume of molecules from their neighbours to infinite separation (an ideal gas ).
This is helpful as calculating the free energy of solvation directly is extremely difficult. The free energy of solvation can be converted to a solubility value using various formulae, the most general case being shown below, where the numerator is the free energy of solvation, R is the gas constant and T is the temperature in kelvins. [33]
This temperature determines the relative solubility of surfactant in an aqueous solution. This is the minimum temperature the solution must be at to allow the surfactant to precipitate into aggregates. [8] Below this temperature no level of solubility will be sufficient to precipitate aggregates due to minimal movement of particles in solution. [8]
The crystal structures of solute and solvent must be similar. Complete solubility occurs when the solvent and solute have the same valency. [2] A metal is more likely to dissolve a metal of higher valency, than vice versa. [1] [3] [4] The solute and solvent should have similar electronegativity.
This relationship is according to the equation ΔG = –RT ln K (Gibbs free energy). The rate equation for S N 2 reactions are bimolecular being first order in Nucleophile and first order in Reagent. The determining factor when both S N 2 and S N 1 reaction mechanisms are viable is the strength of the Nucleophile. Nuclephilicity and basicity ...
The following chart shows the solubility of various ionic compounds in water at 1 atm pressure and room temperature (approx. 25 °C, 298.15 K). "Soluble" means the ionic compound doesn't precipitate, while "slightly soluble" and "insoluble" mean that a solid will precipitate; "slightly soluble" compounds like calcium sulfate may require heat to precipitate.
K ow serves as a measure of the relationship between lipophilicity (fat solubility) and hydrophilicity (water solubility) of a substance. The value is greater than one if a substance is more soluble in fat-like solvents such as n-octanol, and less than one if it is more soluble in water. [citation needed]
The parameters may be derived from various experimental data such as the osmotic coefficient, mixed ion activity coefficients, and salt solubility. They can be used to calculate mixed ion activity coefficients and water activities in solutions of high ionic strength for which the Debye–Hückel theory is no longer adequate.