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Electrical Conductance of Solution

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Estimated time: 5 minutes
Maharashtra State Board: Class 12

Definition: Conductance

The reciprocal of the electrical resistance is called the conductance.

\[G\propto\frac{1}{R}\]

The unit of conductance is ohm⁻¹ or mho and is denoted by Ω⁻¹. In SI, unit is S (Siemen).

Maharashtra State Board: Class 12

Key Points: Terms Related to Conductance of Solution

Quantity Definition Formula / Relation Units
Resistance (R) Opposition to the flow of current R = V / I Ohm (Ω)
Conductance (G) The ability to conduct electricity G = 1 / R Siemens (S)
Resistivity (ρ) Resistance of a conductor of unit length & area ρ = RA / l Ω m or Ω cm
Conductivity (κ) Conductance of unit length & area κ = 1 / ρ S m⁻¹ or Ω⁻¹ cm⁻¹
Cell constant Ratio of distance to area l / A m⁻¹ or cm⁻¹
Molar conductivity (Λₘ) Conductance of 1 mole of electrolyte Λₘ = κ / C S m² mol⁻¹
Maharashtra State Board: Class 12

Law: Kohlrausch law

At infinite dilution, each ion migrates independently of the co-ion and contributes to the total molar conductivity of an electrolyte, irrespective of the nature of the other ion to which it is associated.

Degree of dissociation = `"Molar conductance at a given concentration"/ "Molar conductance at infinite dilution"` \[=\frac{\Lambda_{m}^{c}}{\Lambda_{m}^{\infty}}\]

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