[MAOGRE(iOR] 



CONDUCTIVITY OF ELECTROLYTES 



77 



Case Y. — Solutions containing any Number of Electrolytes with 



NO Common Ion. 

 If the solution is formed by the addition of p such electrolytes to 



the solvent, there will be p"^ elec 

 trolytes in the solution, us is 

 illustrated in the diagram. 



It is unnecessary to write 

 down the equations which may 

 be obtained from the application 

 of the law of equilibrium to the 

 various electrolytes throughout 

 different regions of the solution 

 For, as each electi'olyte is in 

 equilibrium in its own region, 

 and each also in the region oc- 

 cupied by it and every other 

 electrolyte having one ion in 



common with it, we have, as in 

 former cases, 



A ^ A ^ A.^ 



forming a set oî p^ — 1 conditions of equilibrium. Also, as each electro- 

 lyte is in equilibrium in the region occupied by itself, any other electro- 

 lyte having no ion in common with it, and the products of their double 

 decomposition, we have, 



VoVs = i\v^, 

 etc., 

 forming a set of (p — 1)' conditions of equilibrium. These 2p Qp — 1) 

 conditions are also the only conditions. For if we apjjly the law of 

 equilibrium to each electrolyte through the whole volume of the solution, 

 we obtain p^ equations, such as, 



c, 'h ^ A + /^4 + Â + etc. _ A + ft, -f /i, -f etc. ^ 



which, as in Case IV., will be found to be deducible from the eqviations 

 given above. 



For determining the ionisation coefficients, and the numbers of 

 gramme-equivalents of the various electrolytes present in the solution, we 

 have therefore : 

 (a) from the conditions of equilibrium, 



«1 a.2 



etc. 



p- — 1 equations, 

 Q) — 1)' equations, 



