Solubility of Sparingly Soluble Salt

Rarely Tested

Solubility of Sparingly Soluble Salt

### Formula:

$$S=\frac{\Lambda_m\kappa}{1000\Lambda_m^\circ}$$

### Terminologies:

- S β†’ Solubility of sparingly soluble salt.

- ΞΊ β†’ Conductivity of saturated solution.

- Ξ›β‚˜Β° β†’ Limiting molar conductivity.

- Ξ›β‚˜ β†’ Molar conductivity.

### Usage:

- Used to determine solubility using conductivity measurements.

Question 1

At 300 K, the molar conductivities of the aqueous solutions of three salts at two different concentrations are given below:

image

The conductivity of a saturated aqueous solution of AgCl is $$1.40\times 10^{-6}$$ S cm$$^{-1}$$ at 300 K. If the solubility of AgCl in water at 300 K is $$X$$ mol L$$^{-1}$$, then $$\log_{10}(X^{-1})$$ is

(Assume that AgCl dissolved in water ionizes completely and that the molar conductivity of saturated AgCl solution is equal to its limiting molar conductivity.)

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