1. We balance the chemical equation: Calcium (Ca) + Water (H₂O) → Calcium Hydroxide (Ca(OH)₂) + Hydrogen Gas (H₂)
2. Calculate moles of calcium: Moles of calcium = Mass of calcium / Molar mass of calcium Moles of calcium = 14.7g / 40.08g/mol ≈ 0.366 moles
3. Moles of hydrogen gas produced equals moles of calcium, as per the balanced equation: Moles of hydrogen gas = 0.366 moles
4. Find mass of hydrogen gas using the molar mass of hydrogen gas: Mass of hydrogen gas = Moles of hydrogen gas * Molar mass of hydrogen gas Mass of hydrogen gas = 0.366 moles * 2.016g/mol ≈ 0.739g
Therefore, approximately 0.739 grams of hydrogen gas is produced.