Resistance of a conductivity cell filled with a solution of an electrolyte of concentration 0.1 M is

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Resistance of a conductivity cell filled with a solution of an electrolyte of concentration 0.1 M is 100 &#937;. The conductivity of this solution is 1.29 S m-1. Resistance of the same cell when filled with 0.2 M of the same solution is 520 &#937;. The molar conductivity of 0.02 M solution of the electrolyte will be

Accepted Answer

There is one mistake in Question paper.
Assuming concentration of solution is 0.2 M instead of 0.02 M. Since resistance of 0.2 M is 520 Ω.
R = 100 Ω
K =

1.29 =

= 129 m^-1
R = 520Ω , C = 0.2 M
K =

(129) Ω^-1 m^-1
μ = K × V_{in cm³}
=

× 10^-6
= 1.24 × 10^-3
= 12.4 × 10^-4

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