50 



that X with f ^=7 assumes the value 40,8 : 6 = 6,8. [The original 



equation (9j gives 39,6 for F'k with the experimental value, and 



of course also X = 13,4—6,6 = 6,8 with «^ = 15,2, (3 = 0,9]. This 



value is in perfect agreement witli the course of the value of fp in 



the immediate neighbourhood of Tk (loc. cit. p. 1100 — 1102), from 



which even a somewhat higher value would follow. 



Let us now calculate the value of e"(2 on the supposition that a 



f dp . 

 is a function of 2". From the value found above for | ^r;r, I, viz. 



fdp\ R aict' „ ,, ,. , / „ d''t dT'\ 



V^7. 



dT " 



— = — ;, follows imm.ediately t = — — = -— 



dTj^ v—b Tk v' ^ \ dm^ dm) 



'd'p \ aic t" 



dT^Jv~ ~ ^VV 

 hence 



d'-8\ 1\' fd'p\ akx\ 



8-fi = ■ 



dmy/c pic KdT^Jic pic v/c' 



SO that we find; 



«jfctr'fc ak{l—r'k) r"k ._ . 



when we substitute the value found above for / — 1. 



Now t';^- = may be put (see above), so that with X =^ 6,8 we 

 shall have (see also p. 1106 loc. cit.): 



T">t = 6,8- 



So when — as an explanation of the course of (p at Tk — 

 a:=^akr is put, in which x=Lf{m), x must satisfy the two conditions : 

 x'k = 0{±) and x"k—7. 



/?). If h is supposed to be a function of the temperature, then 

 from 



RT a 



P = -~l 1 ....... (Ic) 



V — bkx V 



in which r is therefore both a function of v and of T, follows : 



dp\ __ R RT bkx' R 



111 bi- X 



1 + 



V — bkX 



dTJy V — bkX {v — bkx,- Tk v - b^x 



dx 

 when t' = — at v constant. 



dm 



Hence : 



f=L^f±)^^^'^(r+hJ±), . . . (66) 



pk\dTJk pk{vk—'bk)\ vk—bkj 



because at Tk the value of t is evidently again = 1. And since 



