338 Dr. R. D. Kleeman on Relations between the 



The equation p = n±p c is of theoretical importance, as n A is 

 a function o£ n 1} n 2 , n 3 , and the equation therefore gives the 

 relation between p 7 p u p 2 , and T. It could at once be written 

 out if the exact form of the arbitrary function in the law of 

 attraction were known. It will be of interest to develop 

 the equation as far as possible. The value of n 4 is 

 (V c WrcJ /3 + ?2 3 ), from one of the above equations. Referring 



T 

 again to the paper quoted above, we have W = N— ^-N c , 



w T here N c is a numerical constant, and 



wh< 



1 1 n x — n 



Jl 2 Hi 1l\ n 2 



changing some of the symbols to those used in this paper. 

 The quantity B 2 which occurs in the equation for the latent 

 heat is a function of n u n 2 , and n 3 ; its form would be known 

 if that of the arbitrary function in the law of attraction were 

 known. From the way it is obtained it is likely to be a 

 series*. Writing B^^ (n l) n 2 , v s ), the above equation 

 reduces to 



This can be changed into an equation involving p 1} p 2 , and T, 

 by means of the equations p 1 = n l p c , p 2 = n 2 p c , T = n 3 T c . 

 Thus the part of the right-hand side of the equation not 

 under the integral sign at once reduces to 



%(»-w.(S)"> 



The quantities r? 2 , w 3 under the integral sign can be expressed 

 in terms of n 3 by means of the results already obtained and 



T 

 the expression integrated, and nr then substituted for rc g . 



■i-c 



This cannot yet, however, be effected in practice since we 

 do not yet know the exact form of the function <£> 2 . Without 

 performing this operation, the equation connecting the 



* Phil, Mag. May 1910, pp. 793-704= 



