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4 September, 13:50

how many grams of water are needed to produce 28 grams of aluminum carbide (Al4C3) ? Al4C3 + H2O - -> 3CH4 + 4 Al (OH) 3

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  1. 4 September, 17:49
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    mass of H₂O = 19.44 g

    Note: There is a typing mistake in question, its is Aluminum hydroxide not aluminum carbide, as we can see in the given reaction.

    Explanation:

    balanced chemical equation

    Al₄C₃ + 12 H₂O → 4 Al (OH) ₃ + 3 CH₄

    given data

    moles of H₂O = 12 mol

    mas of H₂O = ?

    moles of Al (OH) ₃ = 4 mol

    mass of Al (OH) ₃ = 28 g

    Solution

    1st we will find out the mole ratio of water and Aluminum hydroxide from balanced chemical equation

    H₂O : Al (OH) ₃

    12 : 4

    12/4 : 4/4

    3 : 1

    Now we find out number of moles of Aluminum hydroxide

    moles = mass / molar mass

    moles = 28 g / 78 g/mol

    moles = 0.36 mol

    now we find out moles (x) of H₂O needed for 0.36 mol of Aluminum hydroxide

    from the balanced chemical equation the mole ratios are:

    3 : 1

    x : 0.36

    Cross multiply these ratios

    3 * 0.36 = 1 x

    1.08 = 1 x

    x = 1.08 mol

    Now we will find out the mass of H₂O

    mass of H₂O = moles * molar mass

    mass of H₂O = 1.08 * 18

    mass of H₂O = 19.44 g
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