The solubility product of AgCl is 1.0 ×10^-10. The equilibrium constant of the reaction AgCl(s)+

step 1 In this problem, solubility of AGCL is equal to solubility of of AGCL by molecular weight of AGC

The solubility product of AgCl is 1.0 ×10^-10. The...

The solubility product of $\mathrm{AgCl}$ is $1.0 \times 10^{-10}$. The equilibrium constant of the reaction $\mathrm{AgCl}(\mathrm{s})+\mathrm{Br}^{-} \rightleftharpoons \mathrm{AgBr}(\mathrm{s})+\mathrm{Cl}$ is 200 and that of the reaction $2 \mathrm{AgBr}(\mathrm{s})+\mathrm{S}^{2-} \rightleftharpoons \mathrm{Ag}_{2} \mathrm{~S}(\mathrm{~s})+2 \mathrm{Br}$ is $1.6 \times 10^{24} .$ What is the $K_{\mathrm{sp}}$ of $\mathrm{Ag}_{2} \mathrm{~S}$ ? (a) $3.2 \times 10^{16}$ (b) $1.56 \times 10^{-49}$ (c) $3.95 \times 10^{-25}$ (d) $3.13 \times 10^{-17}$

The solubility product of $\mathrm{AgCl}$ is $1.0 \times 10^{-10}$. The equilibrium constant of the reaction
$\mathrm{AgCl}(\mathrm{s})+\mathrm{Br}^{-} \rightleftharpoons \mathrm{AgBr}(\mathrm{s})+\mathrm{Cl}$
is 200 and that of the reaction
$2 \mathrm{AgBr}(\mathrm{s})+\mathrm{S}^{2-} \rightleftharpoons \mathrm{Ag}_{2} \mathrm{~S}(\mathrm{~s})+2 \mathrm{Br}$
is $1.6 \times 10^{24} .$ What is the $K_{\mathrm{sp}}$ of $\mathrm{Ag}_{2} \mathrm{~S}$ ?
(a) $3.2 \times 10^{16}$
(b) $1.56 \times 10^{-49}$
(c) $3.95 \times 10^{-25}$
(d) $3.13 \times 10^{-17}$

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Key Concepts

Equilibrium Constant (K)

An equilibrium constant represents the ratio of the concentration (or activity) of the products to that of the reactants at equilibrium for a given chemical reaction. It demonstrates the position of equilibrium, indicating whether products or reactants are favored under equilibrium conditions.

Reaction Equilibria Combination

When multiple chemical reactions are coupled or sequential, their individual equilibrium constants can be combined mathematically to obtain the overall equilibrium constant for the net reaction. This is often done by adding reactions (multiplying their K values) or reversing them (taking the reciprocal of K), which is crucial for relating different equilibria, such as those between solubility products and interconversion reactions.

Solubility Product (Ksp)

The solubility product is an equilibrium constant that applies to the dissolution of a sparingly soluble ionic compound. It quantifies the extent to which the compound dissociates into its ions in a saturated solution and is expressed as the product of the concentrations of the constituent ions, each raised to the power of its coefficient in the dissociation reaction.

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