1. Balanced Chemical Equation

The reaction between sulfuric acid (H₂SO₄) and ammonium hydroxide (NH₄OH) is:

H₂SO₄ + 2NH₄OH → (NH₄)₂SO₄ + 2H₂O

2. Mole Ratio

The balanced equation shows that 1 mole of sulfuric acid reacts with 2 moles of ammonium hydroxide.

3. Calculate Moles of Sulfuric Acid

Since we have 8 moles of ammonium hydroxide, we need half that amount of sulfuric acid:

8 mol NH₄OH * (1 mol H₂SO₄ / 2 mol NH₄OH) = 4 mol H₂SO₄

4. Convert Moles to Grams

The molar mass of sulfuric acid (H₂SO₄) is approximately 98 g/mol.

4 mol H₂SO₄ * (98 g/mol) = 392 g H₂SO₄

Therefore, you need 392 grams of sulfuric acid to react with 8 moles of ammonium hydroxide.