52 



So with 5 = 3,774 and r = 2,ll we now find (be value 2,21 for 



2 (1— V.é'V) : i-l—h'i;), i. e. (1— V.^'a:) : (1— /A) = 'i,105. And as 

 b'k has a very small positive value, ^'k will necessarily have a very 

 small (probably negative) value. But then 0"k must possess a very 



great positive value, viz. about 2,7, if — is to become = — 7 



\dmjic 



(see above), as we shall show now. 



We namely derived before (v. L. B, p. 1098, formulae (4) and (5)) : 



^^ 1 ^cocx. 



Fic—1 d^d^ 

 in which 



= 1 +A(l-m) + 



F'k 



K = {ie-2,i)-^- (9) 



In this F' k represents '-— , while a and /:? are the first coef- 



V '^'^' Jk 



ficients of the expansion into series : 



d^ =z 1 4- « VY^^i + /? (1 — m) 4- . . . ) 

 (^3 = 1 - «|/r^4- /3(l-m)— ... i' 



given by (see p. J094 and 1096 loc. cit.) 





6".3 



In this 8"„i stands for , b"\^j tor , f "^.3 for 



\dn . dm) ic ' \d7i^ . drnj^ 



d'e\ „, /'d'8\ 



— , andg „4 for I — . The quantities e, m, and n are resp. the 



dnyjc \dnyk 



reduced pressure, temperature, and volume. 



Now taking the value of F'k, viz. (see p. 1098 and 1104 loc. cit.) 

 F'ic=8"t^ — (fi^—^) £"v,i—^/c.f^^e"'r"^^t into account, we may also write 

 for : 



- e'\. + «^[(/ - 1) + e'V, + 7e^"W ]- ^2 (/-1) + .V] 

 I = — — , . (9a) 



in which e'r. = i ) , i. e. for n (?;) constant, (so s not the reduced 



\d7n^Jk 



pressure of coe-vistence). For Fic we haven written ƒ (see ^ 2). 



We now find — as A = ^ — — ) — the value 7 (at the least 



\drtijk 



6,8 loc. cit. p. 1101) for this quantity X. 



