[CONTRIBUTION FROM T H E CHEMISTRY D E P A R T M E N T O F T H E CNIVERSITY O F LVESTERN AUSTRALIA]
The Variation of Transference Numbers with Concentration BY I (1 -t .a))
being the function defined and tabulated in the previous paper. Now substituting the values ( 3 ) for kland k2,one obtains
@z(Ka)
ZJ'~
-
+
R. H. STOKES
I990
T'ol. i ( i
which for aqueous solutions at 23' becomes
are a t any given moment traveling like normal ions, the proton being surrounded by a cluster of water I, = (14) molecules ; the electrophoretic correction applicable These results differ from the formulas obtained to this part of the process would be normal, as from Onsager's limiting law only by the presence would t h a t for the chloride ion. Equally good agreement is found with other I 1 of the factor (1 f m ) 111 the denominator of the electrophoretic term, a factor dropped in the electrolytes in which ion-pair formation is believed derivation of the limiting law because a t the dilu- to be absent or slight, as shown in Table 11. The agreement with the theory is of course most tions there considered the condition xa
