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I read in some places that Daniel Bernoulli anticipated van der Waals equation by a century in section 10 of his Hydrodynamica. Most sources state that he only discovered one idea in the model; that of taking into account the size of the particles. But did he also consider the attraction between the particles? I'm unable to read his Latin work so I need someone to answer.

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  • $\begingroup$ Please explain in more detail what "van der Waals equation" you have in mind. It would help if you mention where you came across the claim. $\endgroup$ – vonbrand Feb 7 '16 at 1:53
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    $\begingroup$ See I.Grattan-Guinness (ed) Landmark writings in western mathematics (2005), Ch.9 D.BERNOULLI, HYDRODYNAMICA (1738) by G.K.Mikhailov, page 138: "B proposes a kinetic model of air, consisting of a number of very small (but finite) spherical particles moving in straight lines at very high velocities.Taking into account the finite size of the air particles,B obtains also a generalization of the Boyle–Mariotte law in the spirit of the Van der Waals equation. Unfortunately, B’s kinetic theory was disregarded over more than a century." $\endgroup$ – Mauro ALLEGRANZA Feb 7 '16 at 8:47
  • $\begingroup$ Thanks, but i've already read this source. Many sources claim that he took acount of the finite size of the particles, but i ask if he also thought about the \left(p + \frac{n^2 a}{V^2}\right) term of the equation. For this i need someone who is able to read the original latin of the work "Hydrodynamica". $\endgroup$ – user2554 Feb 7 '16 at 9:03
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References

Section 10, §1-8, of Daniel Bernoulli, Hydrodynamica sive de viribus et motibus fluidorum commentarii, Agentorati, 1738, are discussed into:


See also: Clifford Truesdell, Rational fluid mechanics. 1687-1765 (1954), Part IV. The hydrodynamics of Daniel and John BERIOULLI, page XXIII, as well as: Julian Simon Calero, The genesis of fluid mechanics. 1640-1780 (2008), page 320, where it is discussed the chapter of Hydrodynamica subtitled ‘Concerning Properties and Motions of Elastic Fluids, but especially of Air’.

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  • $\begingroup$ Thank you very much for the excellent references. Right now exactly the pages i need are ommited, so i still can't read. $\endgroup$ – user2554 Feb 7 '16 at 16:41

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