Silver sulfate dissolves in water according to the reaction: Ag₂SO₄(s) ⇌ 2 Ag⁺(aq) + SO₄^2-(aq) K_c = 1.1⨉10^-5 at 298 K. A 1.5-L solution contains 6.55 g of dissolved silver sulfate. If additional solid silver sulfate is added to the solution, will it dissolve?

검증된 단계별 안내

Calculate the molar mass of silver sulfate (Ag2SO4) using the atomic masses of Ag, S, and O.

Determine the number of moles of silver sulfate in the solution by dividing the mass of silver sulfate (6.55 g) by its molar mass.

Calculate the initial concentration of silver sulfate in the solution by dividing the number of moles by the volume of the solution (1.5 L).

Use the stoichiometry of the dissolution reaction to find the equilibrium concentrations of Ag+ and SO4^2- ions in terms of the initial concentration of Ag2SO4.

Compare the reaction quotient (Q) with the equilibrium constant (Kc) to determine if additional solid silver sulfate will dissolve. If Q < Kc, more solid will dissolve; if Q > Kc, it will not.

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주요 개념

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Solubility Product Constant (Ksp)

The solubility product constant (Ksp) is an equilibrium constant that applies to the solubility of sparingly soluble ionic compounds. It quantifies the extent to which a compound can dissolve in water, represented by the concentrations of its ions at equilibrium. For silver sulfate, Ksp = 1.1 x 10^-5 indicates that at 298 K, the product of the concentrations of Ag+ and SO4^2- ions in a saturated solution is equal to this value.

Le Chatelier's Principle

Le Chatelier's Principle states that if a system at equilibrium is disturbed, the system will adjust to counteract the disturbance and restore a new equilibrium. In the context of the silver sulfate dissolution, adding more solid Ag2SO4 increases the concentration of Ag+ and SO4^2- ions in the solution, which can shift the equilibrium position according to this principle, potentially affecting the solubility of the compound.

Saturation and Supersaturation

A solution is considered saturated when it contains the maximum concentration of solute that can dissolve at a given temperature. If additional solute is added to a saturated solution, it will not dissolve unless the solution becomes supersaturated, which occurs under specific conditions. In this case, understanding whether the current concentration of ions exceeds the Ksp value is crucial to determine if more silver sulfate can dissolve.

Silver sulfate dissolves in water according to the reaction: Ag2SO4(s) ⇌ 2 Ag+(aq) + SO42-(aq) Kc = 1.1⨉10-5 at 298 K. A 1.5-L solution contains 6.55 g of dissolved silver sulfate. If additional solid silver sulfate is added to the solution, will it dissolve?