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6 December, 02:56

What mass of aluminum is produced by the decomposition of 5.0 kg al2o3?

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Answers (2)
  1. 6 December, 03:07
    0
    Answer: 2.7 kg

    Explanation:

    1) Find the molar mass of Al₂O₃, using the atomic masses of Al and O:

    2x27.0g/mol + 3x16.0g/mol = 102.0 g/mol

    2) Find the ratio of Al to Al₂O₃:

    2x27.0 / 102.0 = 54.0/102.0 = 27.0/51.0 = 9.0/17.0

    3) Use proportionality:

    9.0 Kg Al / 17.0 kg Al₂O₃ = x / 5.0 kg

    ⇒ x = 5.0kg Al₂O₃ x (9.0 kg Al / 17.0 Kg) Al₂O₃

    x = 2.65 kg = 2.7 Kg

    Al = 2.7 kg Al
  2. 6 December, 03:16
    0
    The mass for of aluminum that is produced by the decomposition of 5.0 Kg Al2O3 is 2647 g or 2.647 Kg

    calculation

    Write the equation for decomposition of Al2O3

    Al2O3 = 2Al + 3 O2

    find the moles of Al2O3 = mass/molar mass

    convert 5 Kg to g = 5 x1000 = 5000 grams

    molar mass of Al2O3 = 27 x2 + 16 x3 = 102 g/mol

    moles = 5000 g / 102 g/mol = 49.0196 moles

    by use of mole ratio between Al2O3 to Al which is 1:2 the moles of Al = 49.0196 x2 = 98.0392 moles

    mass of Al = moles x molar mass

    = 98.0392 moles x 27g/mol = 2647 grams or 2647/1000 = 2.647 Kg
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