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Question

Define the following and write the formula and unit of each:
(i) Specific conductivity, (ii) Molar conductivity.

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Solution

(i) Specific conductivity: The specific conductivity of a solution at a given dilution is the conductance of one cm cube of the solution. It is represented by κ (kappa).
Formula:
κ=1ρ=1A×1R
Where,
ρ= specific resistance
l= length
A= Area
R= Resistance
Unit: Ohm1cm1
(ii) Molar conductivity: At definite temperature the conductivity of ions in a solution containing one gm mole of electrolyte is called molar conductivity. It is denoted by μ or Λm
Formula: Λm=κ×V
Λm=κ×1000m
where,
Λm= molar conductivity
κ= specific conductivity
m= molarity
V= volume =Vcm3
Unit: Ohm1cm2mol1

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