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Multiple Choice
Calculate the pH of a 0.10 M solution of barium hydroxide, Ba(OH)₂.
A
pH = 0.70
B
pH = 12.00
C
pH = 13.30
D
pH = 1.00
Verified step by step guidance
1
Identify that barium hydroxide, Ba(OH)₂, is a strong base that dissociates completely in water to produce barium ions, Ba²⁺, and hydroxide ions, OH⁻.
Write the balanced dissociation equation for barium hydroxide: Ba(OH)₂ → Ba²⁺ + 2OH⁻.
Determine the concentration of hydroxide ions, OH⁻, produced. Since each formula unit of Ba(OH)₂ produces two OH⁻ ions, the concentration of OH⁻ is twice the concentration of Ba(OH)₂. Therefore, [OH⁻] = 2 × 0.10 M = 0.20 M.
Calculate the pOH of the solution using the formula: pOH = -log[OH⁻]. Substitute the concentration of OH⁻ into the formula to find the pOH.
Convert the pOH to pH using the relationship: pH + pOH = 14. Solve for pH by subtracting the calculated pOH from 14.