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Advanced Analysis of Isobaric Heat Capacities by Mathematical Gnostics

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Abstract

Two novel imidazolium based ether-functionalized room temperature ionic liquids were synthesized to study the temperature dependence of the isobaric heat capacity in the temperature range 298.15–348.15 K. In-house synthesized ionic liquids are often available in small amounts only, owing to the high cost of the precursors and difficulties during the synthesis itself. It is therefore impossible to repeat measurement many times so that a statistically significant data sample can be obtained. In addition, to obtain at least several values of the measured property, the ionic liquid must be recycled and reused. In this work two recycling techniques were used and their influence on the values of the experimental isobaric heat capacity was analyzed. Advantages of a modern nonstatistical data analysis technique, namely mathematical gnostics, were demonstrated.

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Notes

  1. Being confused by computer terminology we often speak about real numbers but irrational numbers such as \(\pi \) or \(\sqrt{2}\) are never used as measured values of physical quantities.

  2. Digital equipment is cheap nowadays and adding a few additional bits to an A/D converter is not a problem, yet we have observed distribution functions that might signal this effect in our data. However, we do not have a strong evidence that it is really caused by insufficient resolution. In any case such a distribution function is far from usual behavior known in statistics.

  3. The necessary minimum size is three distinct values, otherwise the equations cannot be solved. It is recommended to have at least four values.

  4. Other types of distribution functions are also available but they are not important for our applications.

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Acknowledgements

Partial financial support of Ministry of Education, Youth, and Sports Grant LD14090 acknowledged. The authors also thank Ms. Irena Benešová Ševčíková for carrying out the ion chromatography measurements.

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Authors and Affiliations

  1. Institute of Chemical Process Fundamentals of the CAS, v. v. i., E. Hála Laboratory of Separation Processes, Rozvojová 135/1, 165 02, Prague 6, Czech Republic

    Zdeněk Wagner, Magdalena Bendová, Jan Rotrekl, Petr Uchytil, Katerina Setnickova & Jiřina Řezníčková

  2. Institute of Chemical Process Fundamentals of the CAS, v. v. i., Group of Advanced Materials and Organic Synthesis, Rozvojová 135/1, 165 02, Prague 6, Czech Republic

    Petr Velíšek & Jan Storch

Authors
  1. Zdeněk Wagner
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  2. Magdalena Bendová
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  3. Jan Rotrekl
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  4. Petr Velíšek
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  5. Jan Storch
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  6. Petr Uchytil
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  7. Katerina Setnickova
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  8. Jiřina Řezníčková
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Correspondence to Zdeněk Wagner.

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Wagner, Z., Bendová, M., Rotrekl, J. et al. Advanced Analysis of Isobaric Heat Capacities by Mathematical Gnostics. J Solution Chem 46, 1836–1853 (2017). https://doi.org/10.1007/s10953-017-0676-x

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  • DOI: https://doi.org/10.1007/s10953-017-0676-x

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