Question

The conductivity of sodium chloride at 298 K has been determined at different concentrations and the results are given below:
Concentration/M 0.001 0.010 0.020 0.050 0.100
10² x K/S m⁻¹ 1.237 11.85 23.15 55.53 106.74
Calculate [text]δ_{m} [/text] for all concentrations and draw a plot between [text]δ_{m} [/text] and c¹/². Find the value of [text] ∧°_{m}[/text]

Answer 1

Given,

κ = 1.237 × 10−2 S m−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 S m−1, c = 0.010M

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





= 118.5 S cm2 mol−1

Given,

κ = 23.15 × 10−2 S m−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 S m−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 S m−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:



0.0316

0.1

0.1414

0.2236

0.3162



123.7

118.5

115.8

111.1

106.74



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