12 conductivity theory – Thermo Fisher Scientific EcoScan CON 6 & TDS 6 User Manual

Page 45

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Instruction Manual CON 6/TDS 6

41

12 CONDUCTIVITY THEORY

Conductance is a quantity associated with the ability of primarily aqueous

solutions to carry an electrical current, I, between two metallic electrodes when

a voltage E is connected to them. Though water itself is a rather poor conductor

of electricity, the presence of ions in the water increases its conductance

considerably, the current being carried by the migration of the dissolved ions.

This is a clear distinction from the conduction of current through metal, which

results from electron transport.
The conductance of a solution is proportional to and a good, though non-

specific indicator of the concentration of ionic species present, as well as their

charge and mobility. It is intuitive that higher concentrations of ions in a liquid

will conduct more current. Conductance derives from Ohms law, E = IR, and is

defined as the reciprocal of the electrical resistance of a solution.

C = 1 / R

where C is conductance (siemens)

R is resistance (ohms)

One can combine Ohms law with the definition of conductance, and the

resulting relationship is:

C = I / E

where I is current (amps)

E is potential (volts)

In practice, conductivity measurements involve determining the current through

a small portion of solution between two parallel electrode plates when an AC

voltage is applied. Conductivity values are related to the conductance (and thus

the resistance) of a solution by the physical dimensions --- area and length --- or

the cell constant of the measuring electrode. If the dimensions of the electrodes

are such that the area of the parallel plates is very large, it is reasonable that

more ions can reside between the plates, and more current can be measured.

The physical distance between the plates is also critical, as it effects the

strength of the electric field between the plates. If the plates are close and the

electric field is strong, ions will reach the plates more quickly than if the plates

are far apart and the electric field is weak. By using cells with defined plate

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