Page:Text-book of Electrochemistry.djvu/156

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IX.
TRANSPORT NUMBERS.141

in the law is also approximately true for the molecular conductivity at any given dilution, v, but only with each single group of electrolytes ; attention was also called to this point by Kohlrausch.

Transport Numbers and Ionic Mobilities.— As already mentioned, Hittorf had confirmed his own views on this subject in his famous experiments on the migration of the ions. The data found by him refer for the most part to concentrations at which the transport numbers vary with the dilution. The data contained in the following table, which may be regarded as the most exact known at the present time, have been taken from the comprehensive investigations of Jahn (9) and his pupils, and refer to very dilute solutions at 18°. The table gives under uo (observed) the observed transport number of the cation, and under uc (calculated) the value calculated from Kohlrausch's results for λ30 and the Hittorf numbers —

Salt U_o (obaerved). Observer. U_c (calculated). |- |NaCl||0.396||Bogdan||0.399 |KCl||0.497||Template:Didto||0.497 |KBr||0.496|| Template:Didto|| |AgNO3||0.464||Metelka||0.478 | ||0.472||Mean value of various observers |CuSO4||0.375||Metelka||0.412 |BaCL2||0.447||Metelka||0.412 |CdCl2||0.433||Metelka||0.40 |CdI2||0.442||Metelka||0.40

The influence of temperature on the transport number of some cations is shown by the following results obtained by Bein (10):—

Salt Temperature. U_c Temperature. U_c
NaCl 20 0.392 95 0.449
AgNO3 10 0.470 90 0.490
CuSO4 15 0.362 75 0.378
CdCL2 0.430 96 0.430
CdI2 20 0.360 75 0.40