Answer: The molarity of the solution of barium hydroxide is 0.5 mol/L.
Explanation:

Given , concentration of hydroxide ion = ![[OH^-]=1.0 M](https://tex.z-dn.net/?f=%5BOH%5E-%5D%3D1.0%20M)
1.0 M of hydroxide ion means that 1 mole of hydroxide ion is present in 1 L solution.
According to reaction 1 mole of barium hydroxide gives 2 moles of hydroxide ions.
Then, 1 mole of hydroxide ion will be given by:
of barium hydroxide
Since, there are 1 mole of hydroxide ions present 1 L of water and 0.5 moles of barium hydroxide in 1 L.
So, the molarity of the solution of barium hydroxide is 0.5 mol/L.