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Multiple Choice
Determine the pH of a 7.8×10⁻⁴ M Ba(OH)₂ solution.
A
11.89
B
12.09
C
1.91
D
2.11
Verified step by step guidance
1
Start by understanding that Ba(OH)₂ is a strong base, which dissociates completely in water. Each formula unit of Ba(OH)₂ produces two hydroxide ions (OH⁻).
Calculate the concentration of hydroxide ions (OH⁻) in the solution. Since Ba(OH)₂ dissociates into one Ba²⁺ ion and two OH⁻ ions, the concentration of OH⁻ ions will be twice the concentration of Ba(OH)₂. Use the formula: [OH⁻] = 2 × [Ba(OH)₂].
Substitute the given concentration of Ba(OH)₂ into the formula: [OH⁻] = 2 × 7.8×10⁻⁴ M. This will give you the concentration of OH⁻ ions in the solution.
Next, calculate the pOH of the solution using the formula: pOH = -log₁₀[OH⁻]. Substitute the concentration of OH⁻ ions you calculated into this formula to find the pOH.
Finally, determine the pH of the solution using the relationship between pH and pOH: pH = 14 - pOH. Substitute the pOH value you calculated to find the pH of the solution.