Net ionic equation for Ba(OH)₂ and H₂SO₄

Net ionic equation for Ba(OH)₂ and H₂SO₄:
a) Ba(OH)₂ + H₂SO₄ → BaSO₄ + 2H₂O
b) Ba²⁺ + 2OH⁻ + H⁺ + SO₄²⁻ → BaSO₄ + H₂O
c) Ba⁺ + OH⁻ + H⁺ + SO₄²⁻ → BaSO₄ + H₂O
d) Ba²⁺ + 2OH⁻ + 2H⁺ + SO₄²⁻ → BaSO₄

The Correct Answer and Explanation is :

The correct answer is d) Ba²⁺ + 2OH⁻ + 2H⁺ + SO₄²⁻ → BaSO₄ + 2H₂O.

Explanation:

When barium hydroxide ((\text{Ba(OH)}_2)) reacts with sulfuric acid ((\text{H}_2\text{SO}_4)), it undergoes a neutralization reaction, producing barium sulfate ((\text{BaSO}_4)) and water ((\text{H}_2\text{O})).

  1. Balanced Molecular Equation:
    The balanced molecular equation is:
    [
    \text{Ba(OH)}_2 + \text{H}_2\text{SO}_4 \to \text{BaSO}_4 + 2\text{H}_2\text{O}
    ]
    This shows that one mole of barium hydroxide reacts with one mole of sulfuric acid to form one mole of barium sulfate and two moles of water.
  2. Ionic Form:
    Barium hydroxide and sulfuric acid dissociate into ions in aqueous solution:
  • (\text{Ba(OH)}_2 \to \text{Ba}^{2+} + 2\text{OH}^-)
  • (\text{H}_2\text{SO}_4 \to 2\text{H}^+ + \text{SO}_4^{2-})
  1. Net Ionic Equation:
    In the net ionic equation, we only include the species that participate directly in the reaction. Here, barium ions ((\text{Ba}^{2+})) react with sulfate ions ((\text{SO}_4^{2-})) to form barium sulfate ((\text{BaSO}_4)), a precipitate, while the hydroxide ions ((\text{OH}^-)) react with hydrogen ions ((\text{H}^+)) to form water:
    [
    \text{Ba}^{2+} + 2\text{OH}^- + 2\text{H}^+ + \text{SO}_4^{2-} \to \text{BaSO}_4(s) + 2\text{H}_2\text{O}(l)
    ]
    Barium sulfate is an insoluble solid, so it precipitates out of the solution, while water remains in the liquid phase.

Why “d” is correct:

  • Option “d” correctly represents the charges and stoichiometry of the ions involved. Barium ion ((\text{Ba}^{2+})) and sulfate ion ((\text{SO}_4^{2-})) combine to form the solid barium sulfate ((\text{BaSO}_4)).
  • The hydroxide ions ((\text{OH}^-)) from barium hydroxide neutralize the hydrogen ions ((\text{H}^+)) from sulfuric acid to form water. This gives the proper stoichiometric balance of two water molecules.
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