I need to know the dielectric constant of several concentration for HCl
Dear Ikram Hadj Said, in most cases such relationships exist, and sometimes solubility parameter is used instead of the dielectric constant. Please take a look at the following documents. My Regards
https://www.researchgate.net/post/What-is-the-relationship-between-the-solution-concentration-and-the-dielectric-property-of-the-solvents-in-Electrospinning
https://www.researchgate.net/publication/8934151_A_simple_relationship_between_dielectric_constant_of_mixed_solvents_with_solvent_composition_and_temperature
https://doi.org/10.1016/S0378-3812(01)00507-6
https://www.jstor.org/stable/43428458
https://doi.org/10.1021/ie202624d
https://www.sid.ir/en/journal/ViewPaper.aspx?id=195586
https://european-science.com/eojnss/article/view/60
Actually, what you are asking is if Beer's law exists, but you are right to do so, since Beer's law, which states that concentration is proportional to absorbance, and, thereby, the absorption index is nothing but an approximation. In fact, if you think of the polarization of molecules inside a mixture by shining light on it, and you assume spherical molecules and a structureless dielectric medium around them due to all other molecules, you end up with Lorentz-Lorenz theory. A further approximation shows that the dielectric function (and, in the end, the dielectric constant) is proportional to (molar) concentration. From there, a final approximation brings you to Beer's law. See, e.g., Cover Page The Bouguer-Beer-Lambert Law: Shining Light on the Obscure
and references therein.
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