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chemical thermodynamics of neptunium and plutonium - U.S. ...

chemical thermodynamics of neptunium and plutonium - U.S. ...

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2.7 Presentation <strong>of</strong> the selected data 35be needed in order to ascertain that proper <strong>chemical</strong> models are used in the modelling<strong>of</strong> hydrothermal systems. For many species, experimental thermodynamic data are notavailable to allow a selection <strong>of</strong> parameters describing the temperature dependence <strong>of</strong>equilibrium constants <strong>and</strong> Gibbs energies <strong>of</strong> formation. The user may find informationon various procedures to estimate the temperature dependence <strong>of</strong> these thermodynamicparameters in [97PUI/RAR]. The thermodynamic data in the selected set refer to infinitedilution for soluble species. Extrapolation <strong>of</strong> an equilibrium constant K, usuallymeasured at high ionic strength, to K ◦ at I = 0 using activity coefficients γ ,isexplainedin Appendix B. The corresponding Gibbs energy <strong>of</strong> dilution is dil G m = r G ◦ m − rG m (2.55)= −RT r ln γ ± (2.56)Similarly dil S m can be calculated from ln γ ± <strong>and</strong> its variations with T, while dil H m = RT 2 ∂∂T ( r ln γ ± ) p (2.57)depends only on the variation <strong>of</strong> γ with T, which are neglected in this review, when nodata on the temperature dependence <strong>of</strong> γ ’s are available. In this case the Gibbs energy<strong>of</strong> dilution dil G m is entirely assigned to entropy difference. This entropy <strong>of</strong> reactionis calculated using the Gibbs-Helmholtz equation, the above assumption dil H m =0,<strong>and</strong> dil G m .

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