\[ \dfrac{-R{T_2} \ln K_2}{T_2} - \dfrac{-R{T_1} \ln K_1}{T_1} = \Delta H^o \left(\dfrac{1}{T_2} - \dfrac{1}{T_1} \right) \nonumber \] And simplifying the expression so that only terms involving \(K\) are on the left and all other terms are on the right results in the van 't Hoff equation , which describes the temperature dependence of the equilibrium constant.. The van't Hoff factor is therefore a measure of a deviation from ideal behavior. The lower the van 't Hoff factor, the greater the deviation. As the data in Table \(\PageIndex{1}\) show, the van't Hoff factors for ionic compounds are somewhat lower than expected; that is, their solutions apparently contain fewer particles than predicted by the number of ions per formula unit.

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the van't Hoff factor. The van't Hoff factor is really just a mathematical factor that scales the mixed or label concentration of a solute so that it matches the actual or total concentration of all species generated by that solute after dissolution. Solutes generally come in three types that we are concerned with: non-electrolytes, weak.. The Van't Hoff Factor of a covalently bonded compound is thus usually \(1\), because the result when the chemical is "dissociated" is one molecule, the one that was initially present. Example 1: The chemical 1-ethanol, with a structural formula \(CH_2OHCH_3\) and molecular formula \(C_2H_6O\), is a nonelectrolyte and does not dissociate in aqueous solution.