Question

The equivalent conductance of NaCl at concentration C and at infinite dilution are λ_c and λ_∞, respectively. The correct relationship between λ_c and λ_∞ is given as:

Options

• λ_c = λ_∞ + (B)C

• λ_c = λ_∞ − (B)C

• λ_c = `lambda_infty - (B) sqrt C`

• λ_c = `lambda_infty + (B) sqrt C`

Answer 1

`bb(lambda_c = lambda_infty - (B) sqrt C)`

Explanation:

According to Kohlrausch’s Law, the equivalent conductance of an electrolyte at a given concentration `sqrt C` is related to its conductance at infinite dilution λ_∞ by:

`lambda_c = lambda_infty - (B) sqrt C`

Where:

λ_c​ = equivalent conductance at concentration C

λ_∞ = equivalent conductance at infinite dilution

B = empirical constant

`sqrt C` = concentration (in mol/L)

This equation shows that as concentration increases, λ_c decreases due to ionic interactions.

∴ `lambda_c = lambda_infty - (B) sqrt C`