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Molar conductivity of a solution at a given concentration is the conductance of volume V of a solution containing 1 mole of the electrolyte, kept between two electrodes with the cross-sectional area of A and distance of unit length.
It is denoted by Λ m.
It is given by the follwoing relation
Λ m = κ / c
where κ is the conductivity of the solution and c is its concentration.
For both weak and strong electrolytes, molar conductivity increases with decrease in concentration.
As in molar conductivity we are taking the conductivity per mole. So, number of moles become 1 and finally we get,
Λ m = κ/ (1/V)
Λ m = κV/1
Hence, Λ m = κV
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