# Solubility Product K_{sp}

Definition: The product of the concentrations of cation and anion in a saturated solution of a salt is called solubility product.
Higher the K_{sp} value, solubility of the salt is more.

- K

_{sp}= [A

^{+}][B

^{-}] - if it is saturated solution

- K

_{sp}> [A

^{+}][B

^{-}] - if it is unsaturated solution

- K

_{sp}< [A

^{+}][B

^{-}] - if it is super saturated solution

Example:

Solubility product of AgCl is:

- K

_{sp}= [Ag

^{+}][Cl

^{-}]

### Sample Calculations:

Calculate the value of Solubility Product K_{sp} if t solubility of AgCl in pure water is 1.3 x 10^{-5} M.

K_{sp} = [Ag^{+}][Cl^{-}] = [1.3 x 10^{-5} M][1.3 x 10^{-5} M] = 1.69 x 10^{-10}