The Influence of the Temperature and Chemical Potential on the Thermodynamic Coefficient −(dV/dP)T of Water


  • L.A. Bulavin Taras Shevchenko National University of Kyiv
  • Ye.G. Rudnikov Taras Shevchenko National University of Kyiv, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”



water, argon, isothermal compressibility, chemical potential, liquid-vapor coexistence curve, liquid-solid coexistence curve, hydrogen bonds


On the basis of available literature data, the temperature, T, and chemical potential, μ, dependences of the thermodynamic coefficient −(dV/dP)T for water in the liquid state are calculated and analyzed. The coefficient found for water is compared with that for argon. Taking the principle of corresponding states into account, the existence of a region of thermodynamic similarity between those two substances is confirmed. At the same time, there is a region of thermodynamic parameters, where the indicated similarity is not observed. It is shown that, for water, there is a particular temperature of (42 .0 ± 0 .2 ) C at which the T-dependence of the thermodynamic coefficient −(dV/dP)T along the liquid–vapor equilibrium curve has a minimum. This feature leads to a specific behavior of the thermodynamic coefficient −(dV/dP)T for water, which is not observed for argon. It is shown that there is a particular μ value for water at which the μ-dependence of the thermodynamic coefficient −(dV/dP)T along the liquid-vapor coexistence curve also has a minimum. In addition, at the triple point of water, the thermodynamic coefficient −(dV/dP)T as a function of μ reaches a maximum value.


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How to Cite

Bulavin, L., & Rudnikov, Y. (2023). The Influence of the Temperature and Chemical Potential on the Thermodynamic Coefficient −(dV/dP)T of Water. Ukrainian Journal of Physics, 68(6), 390.



Physics of liquids and liquid systems, biophysics and medical physics

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