765 



calculate the values of the two constants {b^X = 4 m and a, we find -. 

 (6,,)„ = 1393,4 ; « = 0,01022 . (a„ = 547,5) 

 The corresponding limiting value of «„ is obtained from b,, : a = 

 = const. := 2,545 (see above). Hence we have for arbitrary values 

 of b^ and a : 



^ = (MoX/(7') ; a = «. X/(7'), .... (13) 

 in which /{T) = [-2a\'T-^y,{aV/Ty—y,{ay^Ty in the case 

 considered by us. 



We find then further for the 2"^^ virial coefficient B : 



b., \ .... / 7' 



B^RTbo 



a I RT ^— 1 

 a 



ajxn^^^ 



(14) 



because b^ .a = \: RTb — 2,545. (See ^ IV). Tb is the temperature 

 of the BoYLE-point. In this way the following tables were calculated. 

 (See tiie tables on this page and p. 766). 



In table I all the values have been collected, wiiich are the 

 foundation of the calculation of a, bg, and B — not only for tiie 

 case that ƒ (7') = 1— 2« I ' 7'+ etc. but also for the case that ƒ '(T) = 



727' ^ 



= (é^'^^' — 1) is assumed, (see § VI). The values {bg)^ and a' 



a' 



T A B L E I. 



55 



Proceedings Royal Acad. Amsterdam, Vol. XX. 



