A reaction is 2 H2 + O2 -> 2 H2O. If 4.0 g of H2 reacts completely with excess O2, what mass of H2O is produced? Show the worked solution.

Chemistry

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Answer

When 4.0 g of H2 reacts completely with excess O2, 36 g of H2O is produced.

Step-by-step solution

5 steps

Worked Solution:

  1. Calculate the molar masses

    • Molar mass of H2 = 2 * (1.008 g/mol) = 2.016 g/mol
    • Molar mass of H2O = (2 * 1.008 g/mol) + (15.999 g/mol) = 18.015 g/mol
  2. Convert the mass of H2 to moles

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

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

    The balanced equation is 2 H2 + O2 -> 2 H2O.
    From the equation, 2 moles of H2 produce 2 moles of H2O. The mole ratio is 1:1.
    Moles of H2O = Moles of H2 * (2 mol H2O / 2 mol H2)
    Moles of H2O = 1.984 mol H2 * (1 mol H2O / 1 mol H2) = 1.984 mol H2O

  4. Convert moles of H2O to mass

    Mass of H2O = Moles of H2O * Molar mass of H2O
    Mass of H2O = 1.984 mol * 18.015 g/mol = 35.744 g

  5. Round to appropriate significant figures

    The given mass (4.0 g H2) has two significant figures. Therefore, the answer should also be rounded to two significant figures.
    Mass of H2O = 36 g

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