1. Write the Balanced Chemical Equation:
Zn (s) + H₂SO₄ (aq) → ZnSO₄ (aq) + H₂ (g)
2. Determine the Molar Mass of Zinc (Zn):
The molar mass of Zn is 65.38 g/mol.
3. Calculate Moles of Zinc:
* Moles of Zn = (mass of Zn) / (molar mass of Zn)
* Moles of Zn = 31.8 g / 65.38 g/mol
* Moles of Zn ≈ 0.487 mol
4. Apply the Mole Ratio:
* From the balanced equation, 1 mole of Zn produces 1 mole of H₂.
5. Calculate Moles of Hydrogen (H₂):
* Moles of H₂ = Moles of Zn
* Moles of H₂ ≈ 0.487 mol
6. Determine the Molar Mass of Hydrogen (H₂):
* The molar mass of H₂ is 2.016 g/mol.
7. Calculate the Mass of Hydrogen:
* Mass of H₂ = (moles of H₂) * (molar mass of H₂)
* Mass of H₂ ≈ 0.487 mol * 2.016 g/mol
* Mass of H₂ ≈ 0.982 g
Therefore, approximately 0.982 grams of hydrogen are produced from 31.8 grams of zinc.