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 × κ/S m⁻¹ 1.237 11.85 23.15 55.53 106.74

Calculate for all concentrations and draw a plot between and c½. Find the value of.

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 M^1/2

= 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 M^1/2

= 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, c^1/2 = 0.1414 M^1/2

= 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, c^1/2 = 0.2236 M^1/2

= 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, c^1/2 = 0.3162 M^1/2

= 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⁻¹.