130 Mr. W. Hughes on the Na'vre of Chemical Force 



ions be r x and that of the ionic constituents of the mole- 

 cules ?' 2 5 then from elementary dynamics 



V A _ r? b\ _ r 2 I n _ hj. <H 



where £ denotes the time for the considered state to be 

 reached from an assigned commencement starting from 

 relative rest ; for example, in case of the ions it is the 

 time elapsed since the commencement of the moving to- 

 gether of any selected pair, which will later form a molecule; 

 a is acceleration. 



Now let the force of interionic attraction vary inversely 

 with the square of the distance, that causing molecular 

 dissociation inversely with the fourth power of the distance. 



k 



That is, let a x — — , and 



where k x and h 2 are constants. 

 Hence 









(A) 



writing K for \/j 



If, as some hold, all the molecules in the liquid arc 

 dissociated at a given instant to nearly the same extent 

 (Milner, Phil. Mug, xxxv. pp. 208, 352 (1918)), we can 

 make r 1 =r Si so that 



5 = K, 



Now for the whole liquid 



A ( 8 yy L i-A $y L 



(Sm^ 2 ^Sm 



2 

 "2> 



and since the quantities of ions and molecules in each 

 element of volume wili be very approximately constant, 



X(s mi y %v 2 



Z(8m 2 ) *V Xi\ ' 



