Stoichiometry: 4.0 g of H2 reacts completely with O2 to form H2O. What mass of H2O is produced? Give the final numeric answer in grams as the headline.

Chemistry

ScanSolve AI Answer

Step-by-step solution

7 steps

36 g

Explanation:

  1. Write the balanced chemical equation

    2H₂(g) + O₂(g) → 2H₂O(l)

  2. Calculate the molar mass of H₂

    Molar mass of H₂ = 2 × 1.008 g/mol = 2.016 g/mol

  3. Convert the mass of H₂ to moles

    Moles of H₂ = Mass / Molar mass
    Moles of H₂ = 4.0 g / 2.016 g/mol ≈ 1.984 mol H₂

  4. Use the mole ratio from the balanced equation to find moles of H₂O

    From the balanced equation, 2 moles of H₂ produce 2 moles of H₂O. This is a 1:1 mole ratio.
    Moles of H₂O = Moles of H₂ ≈ 1.984 mol H₂O

  5. Calculate the molar mass of H₂O

    Molar mass of H₂O = (2 × 1.008 g/mol) + (1 × 15.999 g/mol) = 2.016 g/mol + 15.999 g/mol = 18.015 g/mol

  6. Convert moles of H₂O to mass

    Mass of H₂O = Moles × Molar mass
    Mass of H₂O = 1.984 mol × 18.015 g/mol ≈ 35.74 g

  7. Round to appropriate significant figures

    The given mass (4.0 g) has two significant figures, so the final answer should also be rounded to two significant figures.
    Mass of H₂O ≈ 36 g

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