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Electrochemistry

Question
CBSEENCH12006119

The molar conductivity of KCl solutions at different concentration at 298 K are given below:

C/mol L–1

Λ/s cm2 mol–1

0.000198

0.000309

0.000521

0.000989

148.61

148.29

147.81

147.09

 
Show that a plot between A and C1/2 is a straight line. Determine the values of Λ° and Λ for KCl.

Solution
Taking the square root of concentration, we have

C1/2 /(mol L–1)1/2

A/s cm2 mol–1

0.01407

0.01758

0.02283

0.03145

148.61

148.29

147.81

147.09

 




A plot of A(l /-axis) and c1/2 (x-axis) is shown in the fig. It is nearly a straight line. From the intercept (C1/2 = 0) we find that Λ° = 149.8 s cm2 mol–1 and Slope = A = 87.46s cmmol–1/(mol / L–1)1/2.