1. Understand the Dissociation:
Calcium hydroxide (Ca(OH)₂) is a strong base. It completely dissociates in water:
Ca(OH)₂ (aq) → Ca²⁺ (aq) + 2OH⁻ (aq)
This means that for every 1 mole of Ca(OH)₂ that dissolves, you get 2 moles of hydroxide ions (OH⁻).
2. Calculate the Hydroxide Ion Concentration:
* Since the concentration of Ca(OH)₂ is 0.15 M, the concentration of OH⁻ ions is twice that: 0.15 M * 2 = 0.30 M
3. Calculate the pOH:
pOH is the negative logarithm of the hydroxide ion concentration:
pOH = -log[OH⁻] = -log(0.30) ≈ 0.52
4. Calculate the pH:
The pH and pOH are related by the following equation:
pH + pOH = 14
Therefore:
pH = 14 - pOH = 14 - 0.52 ≈ 13.48
Therefore, the pH of a 0.15 M calcium hydroxide solution is approximately 13.48.