The conductivity of a saturated solution of AgCl at 298 K was found to be 3.40 Γ 10^β6 Ξ©^β1 cm^β1; t β Electrochemistry Chemistry Question
Question
The conductivity of a saturated solution of AgCl at 298 K was found to be 3.40 Γ 10^β6 Ξ©^β1 cm^β1; the conductivity of water used to make up the solution was 1.60 Γ 10^β6 Ξ©^β1 cm^β1. Determine the solubility of AgCl in water in mole per litre at 298 K. The equivalent conductivity of AgCl at infinite dilution is 150.0 Ξ©^β1 cm^2 eq^β1.
π‘ Solution & Explanation
Specific conductance due to dissolved AgCl (ΞΊ) = ΞΊ_solution - ΞΊ_water = 3.40 Γ 10^β6 - 1.60 Γ 10^β6 = 1.80 Γ 10^β6 Ξ©^β1 cm^β1. Solubility S = (ΞΊ Γ 1000) / Ξ_m. Since the valency is 1, equivalent conductivity equals molar conductivity (150.0). S = (1.80 Γ 10^β6 Γ 1000) / 150.0 = 1.80 Γ 10^β3 / 150.0 = 1.2 Γ 10^β5 M. Therefore, correct answer is B.