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Question -

The conductivity of sodium chloride at 298 K has been determined at different concentrations and the results are given below:



Answer -

Concentration/M 0.001 0.010 0.0200.050 0.100

102 × κ/S m−1 1.23711.85 23.15 55.53 106.74

Calculatefor all concentrations and draw a plot betweenand c½. Find the value of

Answer

Given,

κ = 1.237 × 10−2 Sm−1, c = 0.001 M

Then, κ = 1.237× 10−4 S cm−1, c½ = 0.0316 M1/2

= 123.7 S cm2 mol−1

Given,

κ = 11.85 × 10−2 Sm−1, c = 0.010M

Then, κ = 11.85 × 10−4 Scm−1, c½ = 0.1 M1/2

= 118.5 S cm2 mol−1

Given,

κ = 23.15 × 10−2 Sm−1, c = 0.020 M

Then, κ =23.15 × 10−4 S cm−1, c1/2 = 0.1414 M1/2

= 115.8 S cm2 mol−1

Given,

κ = 55.53 × 10−2 Sm−1, c = 0.050 M

Then, κ = 55.53× 10−4 S cm−1, c1/2 = 0.2236 M1/2

= 111.1 1 S cm2 mol−1

Given,

κ = 106.74 × 10−2 Sm−1, c = 0.100 M

Then, κ = 106.74× 10−4 S cm−1, c1/2 = 0.3162 M1/2

= 106.74 S cm2 mol−1

Now, we have the following data:

Since the line interruptsat 124.0 S cm2 mol−1= 124.0 S cm2 mol−1.

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