Final answer:
No precipitate will form since the ion product is smaller than the solubility product constant.
Step-by-step explanation:
To determine if a precipitate will form, we need to compare the ion product, [Ni²+][OH-]², with the solubility product constant, Ksp. First, calculate the moles of Ni²+ and OH- in the solutions.
For the Ni(NO3)2 solution:
- Moles of Ni²+ = volume (L) x concentration (mol/L) = 0.200 L x 2.5 x 10^(-5) mol/L = 5.0 x 10^(-6) mol
For the KOH solution:
- Moles of OH- = volume (L) x concentration (mol/L) = 0.200 L x 4.86 x 10^(2) mol/L = 9.72 x 10^(-2) mol
Now multiply the moles of Ni²+ and OH- to get the ion product:
- Ion product = (5.0 x 10^(-6) mol) x (9.72 x 10^(-2) mol)^2 = 4.85 x 10^(-8)
Since the ion product is smaller than the solubility product constant (6 x 10^(-16)), no precipitate will form.