Answer:
5.706x10⁻³M
Step-by-step explanation:
Based on product solubility of Ca(OH)₂:
Ca(OH)₂(s) ⇆ Ca²⁺ + 2OH⁻(aq)
Ksp = 5.5x10⁻⁶ = [Ca²⁺] [OH⁻]²
Where [Ca²⁺] is 0.05M and [OH⁻] is obtained from the reaction with HCl.
The molar solubility, S, will be:
S = [OH⁻]/2
The [OH-] is:
Moles HCl = Moles OH⁻
2.77x10⁻³L * (0.103mol / L) = 2.85x10⁻⁴ moles OH⁻ in 25mL = 0.025L:
2.85x10⁻⁴ moles OH⁻ / 0.025L = 0.0114M = [OH⁻]
And S is:
0.0114M/2 =
5.706x10⁻³M