Transport number or Transference number

(1) Definition : The fraction of the total current carried by an ion is known as transport number, transference number or Hittorf number may be denoted by sets symbols like t₊ and t_- or t_c and t_a or n_c and n_a.

From this definition,

evidently, t_a + t_c = 1

(2) Determination of transport number : Transport number can be determined by Hittorf's method, moving boundary method, emf method and  from ionic mobility.

(3) Factors affecting transport number

 A rise in temperature tends to bring the transport number of cation and anion more closer to 0.5

(4) Transport number and Ionic mobility : Ionic mobility or Ionic conductance is the conductivity of a solution containing 1 g ion, at infinite dilution, when two sufficiently large  electrodes are placed 1 cm apart.

Unit of ionic mobility is Ohm^-1 cm² or V^-1S^-1cm²

Ionic mobility and the transport number can be related as, 

Absolute ionic mobility is the mobility with which the ion moves under unit potential gradient. It's unit is cm sec^-1.

Absolute ionic mobility = Ionic Mobility/96500

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