# (a) The electrical resistance of a column of solution of length and area of cross-section  is . Calculate its resistivity, conductivity and molar conductivity.(b) Predict the products of electrolysis of an aqueous solution of with platinum electrodes.        (Given :                          )

(a)

$R = \rho l / a = 5\times 10^{3} \times 0.625/50 = 62.5 \Omega \\ Conductivity = \kappa = 1/\rho = 1/62.5 = 0.016 \Omega^{-1}cm^{-1}\\ Molar -conductivity= \Lambda _{m} = \kappa\times 1000/c = 320 \Omega^{-1}cm^{2}mol^{-1}$

(b)

Given :

At cathode :

Cu2+ + 2e $\rightarrow$ Cu

Because E0 Cu2+ /Cu > E0 H+/H2

At anode:

H2O $\rightarrow$ 1/2 O2 + 2H+ + 2e

This reaction should occur at anode but due to over-potential of O2, oxidation of Clis preferred.

Hence the reaction is

2Cl $\rightarrow$Cl2 + 2e

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