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Question: The conductivity of a solution of AgCl at 298 K is found to be \(\text{1.382 × 1}\text{0}^{\text{-6}...

The conductivity of a solution of AgCl at 298 K is found to be 1.382 × 10-6 Ω-1 cm-1\text{1.382 × 1}\text{0}^{\text{-6}}\ \Omega^{\text{-1}}\text{ c}\text{m}^{\text{-1}}. The ionic conductance of Ag+ and Cl– at infinite dilution are 61.9Ω -1 cm2 mol-1\text{61.9}\Omega\ ^{\text{-1}}\text{ c}\text{m}^{2}\text{ mo}\text{l}^{\text{-1}} and 76.3 Ω -1 cm2 mol-1 ,\text{76.3 }\Omega\ ^{\text{-1}}\text{ c}\text{m}^{2}\text{ mo}\text{l}^{\text{-1}}\text{ ,} respectively. The solubility of AgCl is

A

1.4 × 10–5mol L–1

B

1 × 10–2mol L–1

C

1 × 10–5mol L–1

D

1.9 × 10–5mol L–1

Answer

1 × 10–5mol L–1

Explanation

Solution

K = 1.382 × 10–6 s cm–1

LAgCl = 61.9 + 76.3 = 138.2 = 1000×1.382×106S\frac { 1000 \times 1.382 \times 10 ^ { - 6 } } { S }

S = 10–5 M.