1898-99.] Sulphuric Acid and Sulphates in Solution. 503 
instance at any rate, a salt of the weak acid H*(HS0 4 )'. Any small 
error which may thus arise is one which affects each dissociation 
degree equally (Kohlrausch, Wied. Ann., 1893, 1. 400), and 
therefore little uncertainty is encountered when the different 
experiments are compared with each other, as is done in deter- 
mining the expression for the equilibrium. In a solution of 
sulphuric acid and a neutral sulphate, the dissociation of the acid 
salt was then calculated in the same manner as above indicated. 
The degrees of dissociation of the free acid, neutral sulphate, and 
acid sulphate being thus determined, the concentrations of the 
undissociated portions are given at once by C(1 — a), where C 
is any total concentration, and a the corresponding degree of 
dissociation. 
These concentrations of the free acid, neutral and acid sulphates, 
viz., C/l -cq), C 2 (l -a 2 ), C 3 (l — a 2 ), as well as the corresponding 
values of (1 -cq), (1 -a 2 ), and (1 -a 3 ) are given in the following 
tables 
First Series. 
Concentration of K 2 SO 4 =0’l. 
Free Acid. Neutral Sulphate. Acid Sulphate. 
Concentration 
of H 2 S0 4 
Cifl-ax) 
C 2 (l - a 2 ) 
C 3 (l -«*) 
(1 - a 2 ) 
(1 - «s) 
0-025 
•006976 
•02775 
•001622 
•453 
•307 
•170 
0-05 
•01506 
•02655 
•003069 
*457 
•320 
•180 
o-i 
•03331 
•02434 
•005584 
•464 
•339 
•198 
0*2 
•07616 
•02220 
•008960 
•476 
•370 
•224 
0-35 
•1445 
•01892 
•01320 
•486 
•401 
•250 
Second Series. 
Concentration of H 2 S0 4 = 
o-i. 
Concentration 
Free Acid. Neutral Sulphate. 
Acid Sulphate. 
of K 2 S0 4 
Crd-a,) 
C 2 (l - a 2 ) 
C 3 (l-« 3 ) 
(l-« 2 ) 
d-« 3 ) 
0-4 
•01926 
•1417 
•01688 
•493 
•418 
•277 
0-2 
•02624 
•05785 
•01071 
•477 
•375 
•234 
0-15 
•03331 
•02434 
•005584 
•464 
•339 
•198 
0*05 
•03851 
•01088 
•002609 
•485 
•314 
*170 
0-025 
•04114 
•004973 
•001245 
•448 
•295 
•153 
Third Series. 
Concentration 
Free Acid. Neutral Sulphate. 
Acid Sulphate. 
of KHS0 4 
Cdl-ax) 
C 2 ( 1 a 2 ) 
i — i 
Q 
(1 “ « 2 ) 
a -« 3 ) 
0-2 
*06071 
•04971 
•01885 
•485 
•397 
*252 
0-15 
•04813 
•03771 
•01125 
•476 
•373 
•230 
o-i 
•03331 
•02434 
•005584 
•464 
•339 
*198 
0*05 
•01830 
•01170 
•001301 
*444 
•284 
•148 
0-025 
•008551 
•005332 
•0002875 
•3.80 
•236 
•115 
