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Comparison of Different Calculation Methods of the New Generation Geometric Model in Predicting the Density of NaCl–MgCl2–CaCl2 Systems

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Abstract

The new generation geometric model has been proposed to calculate the thermodynamic properties for multi-component systems in terms of the properties of their corresponding binaries, in which the “similarity coefficient” ξ has been introduced based on the “deviation sum of squares”, η 1. This function is the key conception of the new generation geometrical model. A different η function besides “deviation sum of squares” has been mentioned in the previous papers. However, discussion of the effect of η in the prediction is scarce. In this paper the density data of molten NaCl–MgCl2–CaCl2 systems were predicted via three different η parameters. It is found that different kinds of η functions yield different calculation results. The results show that the mean relative errors of three different η parameters were no more than 0.75 %, which is in an acceptable range. Therefore, the two methods proposed in this paper could be used for computing physicochemical properties. Three other η functions were also provided and discussed.

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Acknowledgments

The authors wish to express thanks to the Chinese National Science Foundation (Grant No. 51174022) and the National Program on Key Basic Research Project of China (Grant No. 2012CB215405) for their kind financial support.

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Authors and Affiliations

  1. State Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing, Beijing, 100083, People’s Republic of China

    Zhi-Yuan Chen, Li-Jun Wang & Kuo-Chih Chou

  2. School of Metallurgical and Ecological Engineering, University of Science and Technology Beijing, Beijing, 100083, People’s Republic of China

    Zhi-Yuan Chen, Li-Jun Wang & Kuo-Chih Chou

  3. School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing, 100083, People’s Republic of China

    Fu-Shen Li

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  1. Zhi-Yuan Chen
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  2. Li-Jun Wang
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Correspondence to Kuo-Chih Chou.

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Chen, ZY., Wang, LJ., Chou, KC. et al. Comparison of Different Calculation Methods of the New Generation Geometric Model in Predicting the Density of NaCl–MgCl2–CaCl2 Systems. J Solution Chem 43, 577–584 (2014). https://doi.org/10.1007/s10953-014-0147-6

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  • DOI: https://doi.org/10.1007/s10953-014-0147-6

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