Up until now, standard transformed formation properties of biochemical reactants at a specified pH have largely been calculated from Δ f G ° and Δ f H ° values of the species that make them up. The equations for doing this have been derived by using a Legendre transform to define a transformed Gibbs energy G ‘ that provides the criterion for equilibrium and spontaneous change at specified temperature T, pressure P, and pH. In the future, the Δ f G ° and Δ f H ° values of organic species in aqueous solutions will increasingly be calculated from the standard transformed properties Δ f G ‘° and Δ f H ‘° obtained from the apparent equilibrium constants of biochemical reactions and their temperature coefficients or apparent heats of reaction measured at a specified pH. It is therefore important to consider the inverse Legendre tranform that defines the Gibbs energy G in terms of the transformed Gibbs energy G ‘ and the equations for calculating the Δ f G ° and Δ f H ° values of species from thermodynamic measurements at specified T, P, and pH. The use of these equations is illustrated.
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Robert A. Alberty (1998) studied this question.
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