Attraction of Mass, and some Neiv Gas Equations. 91 



and the sum of all normal components between <£ = ^II and 

 <£ = will be 



F = U.n 2 .fc\ Vsin 2 = IL.nK/c. . . . (35) 



Each molecule in the surface is attracted by this force F ; 

 so that the total attraction per unit of surface, i. e. the 

 " Inward Pressure/'' becomes 



p K = n\¥ = U.u\k = {v-*} 2 k. . . (36) 



f 1 1 2 

 Whatever the law of force, \ — ^ I is a factor of the value 



rce ' W\ 



c 

 for p H , and p H can only then adopt a form — g, if k follows 



a law similar to Newton's law of attraction of mass. 



Since such an attraction between the molecules must 

 certainly exist, I have in consideration of the preceding 

 calculated k according to the general law of attraction 

 of mass. 



If n is the number of molecules in unit distance, the 



average distance between two molecules is r=— . 



If m is the mass of a molecule, the attraction in the 

 direction OL of the first molecule on the molecule in 

 would be 



/i=C 





of the second, 

 of the nth. 





fn = " 



•j . 



C being a factor of proportionality similar to the astronomic 



unit of force 1ft6 dyne, if we express m in grams, 



r in cm. 



The sum of the forces /1,/j, • • .jk is the force tc, and 

 we find 



«=2(/) = C.5(l + i + 1 g + ...^). . . (37) 

 For large values of n the series in this equation rapidly 



