the solubility of ag₂so₄ in water at 25 °c is 0.0155 m. what is ksp for ag₂so₄?
What is the solubility product constant (Ksp) for Ag2SO4?
Answer:
The solubility product constant (Ksp) is a mathematical representation of the equilibrium between a solid compound and its ions in a solution. In the case of Ag2SO4, the dissociation of the compound into its ions Ag+ and SO4^2- can be represented as follows:
Ag2SO4 (s) ⇌ 2Ag+ (aq) + SO4^2- (aq)
Given that the solubility of Ag2SO4 in water at 25°C is 0.0155 M, we can consider this value as the concentration of Ag+ ions (and also SO4^2- ions) in the solution. Since 1 mole of Ag2SO4 produces 2 moles of Ag+ ions in this dissociation, we can express the equilibrium as follows:
Ag2SO4 (s) ⇌ 2Ag+ (aq) + SO4^2- (aq)
Initially 0 0.031 0.0155
Now, we can set up the expression for the solubility product constant (Ksp) for Ag2SO4:
Ksp = [Ag+]^2 [SO4^2-]
Given that the concentration of Ag+ and SO4^2- ions are both 0.0155 M, we can substitute these into the Ksp expression:
Ksp = (0.0155)^2 (0.0155) = 3.81 x 10^-4
Therefore, the solubility product constant (Ksp) for Ag2SO4 at 25°C is 3.81 x 10^-4. This value represents the equilibrium concentration product of Ag+ and SO4^2- ions in a saturated solution of Ag2SO4 at that temperature.