( 86 ) 



loo t__ ^ (/,, T- 1) ^h±^'i - Zl(!ik±!^o 



+ "^'^'^"j"""^'^"^" + (n-1) lo<j R + (n-1) % T -{n-\)- log n^^ - 

 - (n - 1) log {p +«/,. ) - ^^ A6. 



If we now put 



— (- {n — I) Log K — (71 — 1) — Log ??" = Log c 



R I 



R ' R 



R 



we get: 



r 5 — (^i)o -r '* (^'2)0 — 'h 



lO(j :=: loij c 4- V lO(l J +- 



+ („_ 1 ) log T - {n-\ ) log {p + «/„.) - ^^^,— ^^ 



Hence finally 



9o 



A' + V*'^ 



^. oT'^+^"-'^ ^?'. ïiT ^^ 



(l-i3)(l-Kn-l),'i)"-l (p+a/^,)n-l " • ^-^^ 



For » = 2 this equation passes into formula (2) on p. 770 I.e. 

 Tlie onl}' ditference is after all this that in the general case the ex- 

 ponent of T is found to he y-\-{n — 1) instead of 7 + 1 ; tliat in the 

 denominator (/^ + "A,^ )"~' is found instead of /;-|-%-' ^"^ that the 



first member has become what (28) gives instead of 



(1-^)(1+/?) 



31. In this connection we may devote a few words to the 

 dimensions of the constant c. If we have a quantity of substance 

 m times as great, the 1*' member in (28) remains unchanged, as 

 /? and n are numbers. Also 7', and hence Tv-K"— 0, because 7 is 

 likewise a number. For in the expression for 7 (see above) k^^ and 

 k^ become m times as great, but also R becomes rn times as great. 

 The exponent '/"//jr remains unchanged for the same reason. For 



a,, and R become both m times greatei-. Further-^ —Ah is also 



1 -^ (n—l)^ 



= , Ah according to the equation of state, and so remains 



V — 



again unchanged, as Lh and v — h become both ]ii times greater. 



