812 



f— I 

 1/ 





(()«) 



3 

 while now the reduced equation of state may be written : 



in which f' will always be sUylUly smaller than /. 



3. If we assume for an "onllnarij substance'' (which is therefore 

 farthest froui tiie above mentioned "ideal substance") a- = 3,77^), 

 hence '/s^ 0,2653, then the value 2,12 corresponds to this for?', 

 with Aj : Aj = 1 accoi'ding to (3). 



Then the value 7,136 is found for/' from (4) with r: (r— 11=1,893. 

 Since / will have to be somewhat greater than ƒ', as in (5) <i is 

 positive at any rate, but as foi- / experimentally a value is found 

 which for the said substances if not very near 7,14, yet lies only 

 little higher, we see conlirmed here what I observed already above 

 (see also loc. cit. p. 57), that q will be exceedingly small at the 

 critical temperature, and that therefore /"' and ƒ will differ very little. 



Further follows from ƒ — 1 = 27 : ;i, r\ with 27 : r' = 27 : 4^,494 = 

 = 6,008, for ;.^ the value 0,979 = 0,98. 



And from ƒ = (/,: ;.J X (8 : (^'—1)) the value 0,999 = 1 for 

 Aj : ^, is then properly found back with 8 : (r — 1) = 7,143, after 

 which 0,98 is also found for Aj. 



The quantities P., and ;.., will varj': between 0,98 and 1, according 

 as one descends from "ordinary substances" to "ideal substances" 

 through the whole region of substances. In this r will at the same 

 time vary from 2,12 to 3 ; ó- from 3,77 to 2,67, and ƒ from 7 to 4. 



We further find for the relation for X^ indicated in (2) : 



1 - b'lc = U,9085 ; b'f, = 0,0915 . 



The value of ^"l may be calculated from (1). We then find : 

 ^"/, = rtb\. : (1 — b'i,) = — 0,4398 ; vi^k = — 0,3996 . 



In the above we only apparently started from one fundamental 

 quantity, viz. s, from which we have calculated r=2,12. For we 

 then made use of the circumstance that k^ . ).^=zl may be put. 



Strictly speaking we ought to have assumed tiuo quantities, viz. 



^) Mean of the values 3,766 for w-Penlane, 3,735 for J-Pentane, 8,796 for 

 Fluorbenzene. 



