Prove that sum of the transport number of ions of an electrolyte is always unity.
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Ion transport number, also called thetransference number, is the fraction of the total electrical current carried in anelectrolyte by a given ionic species
Differences in transport number arise from differences in electrical mobility. For example, in a solution of sodium chloride, less than half of the current is carried by the positively charged sodium ions (cations) and more than half is carried by the negatively charged chloride ions (anions) because the chloride ions are able to move faster, i.e., chloride ions have higher mobility than sodium ions. The sum of the transport numbers for all of the ions in solution always equals unity.
The concept and measurement of transport number were introduced byJohann Wilhelm Hittorf in the year 1853.Liquid Junction Potential can arise from ions in a solution having different ion transport numbers.
At zero concentration, the limiting ion transport numbers may be expressed in terms of the limiting molar conductivities of anion and electrolyte
where are the numbers of cations and anions respectively per formula unit of electrolyte. In practice the molar ionic conductivities are calculated from the measured ion transport numbers and the total molar conductivity. For the cation and similarly for the anion.
Differences in transport number arise from differences in electrical mobility. For example, in a solution of sodium chloride, less than half of the current is carried by the positively charged sodium ions (cations) and more than half is carried by the negatively charged chloride ions (anions) because the chloride ions are able to move faster, i.e., chloride ions have higher mobility than sodium ions. The sum of the transport numbers for all of the ions in solution always equals unity.
The concept and measurement of transport number were introduced byJohann Wilhelm Hittorf in the year 1853.Liquid Junction Potential can arise from ions in a solution having different ion transport numbers.
At zero concentration, the limiting ion transport numbers may be expressed in terms of the limiting molar conductivities of anion and electrolyte
where are the numbers of cations and anions respectively per formula unit of electrolyte. In practice the molar ionic conductivities are calculated from the measured ion transport numbers and the total molar conductivity. For the cation and similarly for the anion.
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Prove that sum of the transport number of ions of an electrolyte is always unity.
Explanation:
The transport number of ions in the electrolyte is also called the transference number. An ionic species that is given carries the total electrical current in an electrolyte within fraction. This is called the transport number of ions or transverse numbers. The sum of the transport number of ions of an electrolyte is always equal and it depends upon the anions and the cations present in the electrolyte. Because there is no much difference between the transport number of cations and the anions presented in the electrolyte. They convey quite equal amounts of electric current.
To know more:
How to find transport no if ionic mobility is given? - Brainly.in
https://brainly.in/question/10163119
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