A 1.00-L solution saturated at 25^∘ C with lead(II) iodide contains 0.54 g of PbI2. Calculate t

step 1 In this question, one liter saturated solution of lead iodide which contains 0 .54 gram of lead

A 1.00-L solution saturated at 25^∘ C with lead(II) iodide...

A 1.00-L solution saturated at $25^{\circ} \mathrm{C}$ with lead(II) iodide contains $0.54 \mathrm{~g}$ of $\mathrm{PbI}_{2}$. Calculate the solubility-product constant for this salt at $25^{\circ} \mathrm{C}$.

Key Concepts

Solubility Equilibrium

This concept deals with the reversible dissolution of a sparingly soluble salt into its constituent ions in a solvent until a dynamic equilibrium is reached between the undissolved solid and the ions in solution. In the context of the problem, lead(II) iodide reaches a state where it ceaselessly dissolves and reprecipitates at 25°C, ensuring constant ion concentrations in equilibrium.

Molar Solubility

Molar solubility refers to the number of moles of a solute that are dissolved per liter of solution when the solution is saturated. In this problem, converting the given mass of lead(II) iodide to moles and then determining the molar solubility is a crucial step for finding the ion concentrations required for the solubility product calculation.

Dissociation Stoichiometry

Dissociation stoichiometry involves understanding the ratio in which a compound dissociates into its constituent ions. For lead(II) iodide, which dissociates according to the equation PbI2 (s) ? Pb²? (aq) + 2 I? (aq), knowing the stoichiometric coefficients is essential to relate the molar solubility of the salt to the concentrations of the individual ions.

Solubility-Product Constant (Ksp)

The solubility-product constant (Ksp) is an equilibrium constant that quantifies the extent to which a sparingly soluble ionic compound dissolves in solution. It is defined as the product of the molar concentrations of the constituent ions, each raised to the power of its coefficient in the balanced dissolution equation. For the dissolution of lead(II) iodide, the Ksp is expressed as [Pb²?][I?]².

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