Final answer:
To avoid the precipitation of zinc hydroxide in the 1.55 M ZnCl2 solution, the pH must be below a certain value determined by the solubility product. Keeping the concentration of the common ion, OH-, low is essential. By calculating the pOH and pH values, we can determine the maximum pH value to avoid precipitation.
Step-by-step explanation:
To avoid the precipitation of zinc hydroxide in the 1.55 M ZnCl2 solution, the pH must be below a certain value. The solubility product of Zn(OH)2 is 3×10-16. The relatively high concentration of the common ion, OH-, results in a very low concentration of zinc ion. Therefore, to prevent precipitation, we need to keep the concentration of OH- low, which can be achieved by maintaining a pH below the pOH value calculated from the solubility product.
Using the equation pOH = -log(OH-) and the given solubility product (Ksp) of 3×10-16, we can calculate the pOH value as follows:
pOH = -log(3×10-16).
Solving for pOH gives pOH = 15.52. To find the pH, we can use the equation pH + pOH = 14. Substituting the pOH value into the equation, we get:
pH + 15.52 = 14.
Solving for pH gives pH = -1.52.