Understand that Ba(OH)₂ is a strong base and 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 two OH⁻ ions, the concentration of OH⁻ is twice the concentration of Ba(OH)₂. Use the formula: [OH⁻] = 2 × [Ba(OH)₂].
Use the concentration of OH⁻ to find the pOH of the solution. The formula to calculate pOH is: pOH = -log₁₀([OH⁻]).
Convert the pOH to pH using the relationship between pH and pOH: pH + pOH = 14. Rearrange this equation to solve for pH: pH = 14 - pOH.
Verify the calculated pH value against the provided options to ensure it matches the correct answer.