## Saturday, April 13, 2013

### Conductivity

Electrolytic solutions are solutions that contain free ions, thus enabling them to operation as electrically conductive mediums. Like typical managers, they alike obey Ohm?s Law. The current that will flow in a conductor is affected by the conductor?s resistance, according to the Ohm?s Law, V = IR. The resistance varies according to the reputation and geometry of the conductor. The relationship of a material?s resistivity to its geometry is:(1)Where ? is the special(prenominal) resistivity in ??.cm?, which is dependent on the nature of the conductor, L is the conductor?s length and A is its cross-sectional area.

It is very much more convenient to work with conductivity rather with resistivity. The conductivity, L, is outlined as the reciprocal of resistivity, thus:(2)Ls is the peculiar(prenominal) conductivity of the conductor defined as the conductivity of 1 cm3 of a material, verbalized in ?-1 cm-1. The cell constant can be obtained by measuring the conductance of a solution of known specific conductance.

The specific conductivity of an electrolyte is dependent on its equivalent niggardness and the mobility of the ions present. For an electrolyte consisting of ions A+ and B-, with ? as the fractional dissociation and c as its concentration in equivalents per liter,(3)Where U?s are the ionic mobilities and F is Faraday?s constant.

It is now convenient to introduce the equivalent or molar conductivity, ?, defined as(4)Suppose dissolving a compound AB in water will produce ions A+ and B-. The conductivity of the solution is a result of the movement of the ions to the electrodes. Cations are attracted to the proscribe electrode and the anions are attracted to the positive electrode. Changes in the number and mobilities of the ions accompanied with qualify in concentration may affect the conductance of the solution. Though the dowery anions and cations may be of the...

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