The equivalent weight of a base is calculated as its molar mass divided by its acidity (the number of replaceable hydroxide ions, OH⁻). The molar mass of Ba(OH)₂ is calculated as: Atomic weight of Ba + 2 (Atomic weight of O + Atomic weight of H) = two replaceable OH⁻ ions, so its acidity is 2. Equivalent weight = Molar mass / Acidity = 171.3 g/mol / 2 = 85.65 g/equivalent. Rounding to one decimal place gives 85.7 g/equivalent, which matches option A.