520 Scientific Proceedings, Royal Dublin Society. 



As regards the other constants the relation between them can be shown 

 thus : — 



writing p x = percentage of total acid in the first fraction, 

 Pn = „ „ „ „ „ „ 1st n fractions. 



/ = volume of fraction (10 c.c.) ; 



then m = I 



then we have : — 



dx' acid distilling over in any fraction _ p n+1 - p n 

 dx ~ acid in flask before fraction distilled _ 100 - p,l 



(l _ e -*(»+i)/)-(l- 6 -Wj _ Kf 



— — ^ - .= 1 - e J = const. 



/dx'' 

 If Naumann and Miiller's constant f — J is called B, then : — 



B= 1 



A/. 



^,x 2-3026 x 10 



writing 



\QA x 2-3026 



y = e 



log 2/ = 104 x 2-3026 log,„e= 104 

 y = antilog (104), 



B- 1 



1 - antilog (104)' 



e.g. if 4 = 0-00577, 



B = l ~ antilog 0-0577 = °' 12- 



There is another constant (c) which is the ratio :- 



1 



Pn 



1 



acid left in flask after (n + l)th fraction 100 



acid left in flask after rath fraction " y» 



100 



g (" + W _ Kf 100 -jpw 100 -jW 



e 



■n\f ; 100 " 100 -p» 



