Water obtained by using organic Ion exchange resins is not pure water. These ion Exchange reasons resins removes only ionic impurities.
The reaction between anhydrous barium peroxide and sulphuric acid is very fast and explosive.
Anhydrous barium peroxide forms a protective coating of BaSO4 with sulphuric acid.
Hydrated barium peroxide forms a protective coating of BaSO4 which slows down the reaction.
All of the above.
Anhydrous barium peroxide forms a coating of insoluble barium sulphate on its surface, which stops further action of the sulphuric acid. In contrast, using hydrated barium peroxide allows for the reaction to continue, as the presence of water in the compound facilitates the reaction with sulphuric acid.