Final answer:
The pH of a saturated solution of Cu(OH)₂, we can use the Ksp expression and the relationship between pH and pOH. The pH of the solution is approximately 7.14.
Step-by-step explanation:
To determine the pH of a saturated solution of Cu(OH)₂, we need to consider the equilibrium reaction that occurs when Cu(OH)₂ dissolves in water:
Cu(OH)₂ ⇌ Cu²+ + 2OH¯
The Ksp expression for this reaction is Ksp = [Cu²+][OH¯]². Given that the Ksp value for Cu(OH)₂ is 4.8 x 10⁻²⁰, we can set up the equation as follows:
4.8 x 10⁻²⁰ = x(2x)²
Simplifying the equation and solving for x, we find that x is approximately 1.38 x 10⁻⁷. This represents the concentration of OH¯ ions in the saturated solution.
To find the pH, we can use the equation: pOH = -log[OH¯]. Substituting the concentration of OH¯ into the equation, we get:
pOH = -log(1.38 x 10⁻⁷) ≈ 6.86
Finally, we can use the relationship between pH and pOH (pH + pOH = 14) to find the pH:
pH = 14 - 6.86 ≈ 7.14
Therefore, the pH of the saturated solution of Cu(OH)₂ is approximately 7.14. The correct answer is not provided in the options given.