Concentration of ag+ in a saturated solution of ag2cro4

Asked by admin @ 17/08/2021 in Chemistry viewed by 371 People

Concentration of ag+ in a saturated solution of ag2cro4 at 20°c is 1.5 × 10-4 mol/l. At 20°c the solubility product of ag2cro4 is

Answered by admin @ 17/08/2021

Answer: The solubility product of $Ag_2CrO_4$ is $1.6875\times 10^{-12}$

Explanation:

Solubility product is defined as the equilibrium constant in which a solid ionic compound is dissolved to produce its ions in solution. It is represented as $K_{sp}$

The equation for the ionization of the silver chromate is given as:

$Ag_2CrO_4\leftrightharpoons 2Ag^++CrO_4^{2-}$

By stoichiometry of the reaction:

1 mole of $Ag_2CrO_4$ gives 2 moles of $Ag^{+}$ and 1 mole of $CrO_4^{2-}$ .

We are given:

$[Ag^+]=1.5\times 10^{-4}$

$[CrO_4^{2-}]=\frac{1.5\times 10^{-4}}{2}=0.75\times 10^{-4}$

Expression for the solubility product of $Ag_2CrO_4$ will be:

$K_{sp}=[Ag^+]^2[CrO_4^{2-}]$

$K_{sp}=(1.5\times 10^{-4})^2\times (0.75\times 10^{-4})\\\\K_{sp}=1.6875\times 10^{-12}$

Hence, the solubility product of $Ag_2CrO_4$ is $1.6875\times 10^{-12}$

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