Fast methods of Debye-Hückel limiting slopes calculation and low-temperature extrapolation based on IAPWS equation of state of waterстатья
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Аннотация:An accurate approximation for the Debye-Hückel limiting slopes based on the IAPWS (the International Association for the Properties of Water and Steam) equations for water was proposed. It is valid for T=273.15−523.15K and p=0−100MPa and uses one self-consistent formula and parameters set for all six coefficients. It uses a special extrapolation procedure for values below 273.15 K that is not dependent on equations of state for supercooled water and can be applied down to 173.15 K. The computations took only about 1% of the time that was required for the computations based on original IAPWS equations. Usage of the IAPWS-IF97 (IAPWS Industrial Formulation 1997) equation instead of the IAPWS95 equation for the water density is also discussed. The developed procedure was also applied to other popular equations for Debye-Hückel coefficients (by Archer and Wang and by Bradley and Pitzer). Tabulated IAPWS95 based values for the Debye-Hückel limiting slopes for T=273−723K, p=0−100MPa and their extrapolation down to 173 K are given.