J204 



as ö = iV: RT and MN = «. For a^o = v{bg)^ X ^oc (cf§10) at 

 7^ =z ao [0 1=0) we find therefore again i'(6^)^ X «» and further for 



f {a) = 2: a, and f{b) -= ^ + ^, (See (4) and (7) ): ') 



/(a)=/(.) = ^_=.l+(^J+... . . (126) 



This function of the temperature f (a) is, therefore, the strongest 

 of all. It duly gives ƒ (6) =ƒ(«). Then follows ours, viz. (12), derived 

 from Boltzmann's function of distribution e~^^r^ on the assumption 

 of rapidly decreasing attraction, only between s and ;•«• It is loeaker 

 and gives f{b)^ f{a). At last comes that of Reinganum and Keesom, 

 likewise derived from e—'^'r^ but with attraction from r =z s io 

 r = GO , and ^ = 4. This it the iveakest of all, and gives a still greater 

 difference between f{b) and /{a), which pleads against it. 



It is the question whether the proposed distribution factor is 

 theoretically justified. But it has the great disadvantage that the 

 denominator already becomes infinite for RT ^ ct, and would then 

 become negative for smaller values of 7', which is of course impossible. 

 The agreement with the values of a calculated experimentall}' from 

 the found values of B (namely by dividing B by (7': Tb) — 1, see 

 the foregoing communication) is almost the same as for the function 

 (^a//?7 — 1):((/R2\ which we considered valid not only for a, but 

 also for b. 



In the subjoined table a has been calculated from n^=a^ : (1 — a/RT). 

 The values of a^o and a have this time been determined from the 

 values of a, found for —252° and 20 C. For — 252° C. a is 

 namely = — 475 . 10 6; _ 0,808 = 588 . lO-^, and for 20° C. a was 

 = 38Ó . 10-6, so that we find a^ — 370,0 . lO-e and «=: 0,02797. 



It is seen that the agreement is pretty satisfactory ; only the 

 values between 20° C and the critical temperature are again 

 all too low. 



5 



s 



1) It is again noteworthy that f(b) can also be obtained by carrying out the integration 



dPr 



— — (1 4- ^Pr)~^ dr between the limits qo and — M for Pr. We then get namely 



ar 



S— 



{ 1 1 \-^i RT 1 



becomes = (l—<93i)-i = (1— «//?r)-i. 



