By Henry William Watson

The 1st version of Mr. Watson’s e-book was once released in 1876. the current, a revised, a lot greater, and extended quantity, is issued additionally in a handier shape. The publication is, in fact, basically mathematical: it bargains virtually completely with the proper excellent gasoline, and supposes that figment of the mathematical brain) “perfect elasticity” to exist for the molecules. it kind of feels to us that, until we all know extra concerning the inner kinetic power of molecules and its legislation of dissipation into the encircling ether, the kinetic idea of gases needs to stay the place Dr. Watson leaves it, a mathematical workout instead of a conceivable actual idea. Dr. Watson retains away from physics lovely in general, or even the identify of Van der Waals doesn't look in his treatise. It lacks a desk of contents or an index. Such books, particularly while released by means of a school press, are actually very unusual, and shortly the reviewer will think in a position to cross them via with the only remark “no index”!

—*The Academy and Literature*, quantity forty five [1894]

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**Example text**

If 22 KINETIC THEORY OF GASES. therefore p lt /> 2 , &c. be the densities of the matter of the neighbourhood of the point x, y, z, and if Fissures at that point, defined as above, of jDi p 2 the media composed of these different sets, and if m lt m 2 &c. be different sets in the 9 9 &c ^e be - , the masses of the individual spheres of each of the we total pressure, We and p the have shall now summarise will sets, the results at which we have arrived concerning the physical properties of a medium of sets of elastic spheres moving about in a region of space very much larger than the sum of the volumes of the spheres, and acted on by any impressed forces tending to fixed centres.

Shall therefore have the equation We where the mutual first forces term is the part of the virial arising from the between the molecules. It will not be rigorously true for as it is for two material two molecules of any form particles that Xx + X'af +Yy+ Tjf + Zz + Z'^ = -J Rr, R being the mutual force between the molecules (estimated as if the mass of each molecule were collected at its centre of mass), but inasmuch as for the large majority of pairs of molecules their distances apart are infinitely large as compared with their dimensions, and also, in to include cases in taking the mean value of Xx+ Yy + Zz, we have which the molecules are presented to each other manner of relative directions, we conclude, as before, that mean value of Xx + Yy + Zz may be represented by the mean in all the value of Rr calculated points, so that in all cases where as if the molecules were material we have r is the temperature, or the mean value of the kinetic energy of translation of a molecule.

And let dN of these be in the state at~any"{ime, that is let them have their coordinates and momenta intermediate between r and ~~(P2f-Pm ri-'- r n) be sucn a function of the m + n I p 2 --Pmj r i--- r n "that whenever p differs from by less than a certain value a, that is whenever the quantity x ^ coordinates in the equation p is equal to or than less a, =x -(f) there 1 corresponding- molecules of the is .................... ~~

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