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The elctrical resistance of a column of ...

The elctrical resistance of a column of `0.05 M N aOH ` solution of diameter `1 cm` and length `50 cm` is `5.55 xx 10^(3)ohm`. Calculate its resisteivity , conductivity, and molar conductivity.

Text Solution

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Area `a = pi r^2 = (22//7) (0.5 cm)^(2) = 7.85 xx 10^(-5) m^2`
Length = l = 1m
Resistance = `R = 1.11 xx 10^(4)`
Resistivity = `rho = R a/l = (1.11 xx 10^(4) xx 7.85 xx 10^(-5))/(1) = 0.871 Omega m`
Conductivity = `k = rho^(-1) = (0.871 "ohm" m)^(-1) = 1.15 S m^(-1)`
Molar conductivity = `mu = (k xx 1000)/("molarity") = (1.15 xx 1000)/(0.05) = 2.3 xx 10^(4) S m^(2) mol^(-1)`
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