102 ON THE CALCULATION OF THE CONDUCTIVITY OF 
volumes of the solutions of these electroiytes which are mixed ; 
let them contain N, and N, gramme-molecules of the elec- 
trolytes respectively: and let @, and a, be the respective 
coefficients of ionisation in the constituent solutions, and there- 
fore, if the solutions are isohydric, in the mixture also. Then, 
according to the dissociation theory of electrolysis and the 
more general theory of solutions on which it is based, the 
condition that there shall be equilibrium between the undissoci- 
ated and the dissociated parts of the electrolytes in the simple 
solutions, is expressed in the equations :— 
A. 7 \m + 
N, (1 7 ( Mm a, a a; Nj, 
1 ; = iL a 
Vy Vy Vy 
N, (1-42) NM My IN av dg Ng 
Cc. — = —=s 
fs Ug Ve Ye 
where ¢c: and c2 are constants, 7. e., are independent of the 
values of N,v, and « The condition that there shall be equili- 
brium between the dissociated and undissociated parts of each 
electrolyte after the mixture, in the case of isohydric solutions 
which do not change either in ionisation or in volume on 
mixing, is expressed in the following equations : 
N, (1=4;) ma, N,+na, =| a, Ny 
Cc, ———- = |{- -*— 
1 Cael tie Linh eos Dies eth 
N, (1-a,) - a, N,+n a, = OgeNe 
Ca ae = Saree wee 
Ura Uy tte V1 TVs 
It follows from the first and third of these equations, that 
ma, N,+n a, Nz _ ma, Ny 
V1 1V2 Vy 
and from the second and fourth, that 
ma, N,ina,N, na,N, 
Vy FU, Vo 
Hence, 
T T 
om a, N, _ na, NG 
Uy Vo 
