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11 May, 11:26

If 11.7 g of aluminum reacts with 37.2 g of copper (II) sulfate according to the following reaction, how many grams of aluminum sulfate will be produced?

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  1. 11 May, 11:49
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    There is 26.59 grams of aluminium sulfate produced

    Explanation:

    Step 1: Data given

    Mass of aluminium = 11.7 grams

    Mass of copper (II) sulfate = 37.2 grams

    Molar mass of Aluminium = 26.98 g/mol

    Molar mass of CuSO4 = 159.61 g/mol

    Molar mass of Al2 (SO4) 3 = 342.15 g/mol

    Step 2: The balanced equation

    2Al + 3CuSO4 → Al2 (SO4) 3 + 3Cu

    Step 3: Calculate moles of Aluminium

    Moles Al = mass Al / molar mass Al

    Moles Al = 11.7 grams / 26.98 g/mol

    Moles Al = 0.434 mol

    Step 4: Calculate moles of CuSO4

    Moles CuSO4 = 37.2 grams / 159.61 g/mol

    Moles CuSO4 = 0.233 moles

    Step 5: Calculate limiting reactant

    For 2 moles of Al we need 3 moles of CuSO4

    CuSO4 is the limiting reactant. It will be completely consumed (0.233 moles).

    Al is in excess. There will be consumed 0.233 * (2/3) = 0.1553 moles

    There will remain 0.434 - 0.1553 = 0.2787 moles

    Step 6: Calculate moles of Al2 (SO4) 3

    For 2 moles of Al we need 3 moles of CuSO4, to produce 1 mole of Al2 (SO4) 3 and 3 moles of Cu

    For 0.233 moles CuSO4 we produce 0.233/3 = 0.0777 moles of Al2 (SO4) 3

    Step 7: Calculate mass of Al2 (SO4) 3

    Mass of Al2 (SO4) 3 = moles Al2 (SO4) 3 * molar mass Al2 (SO4) 3

    Mass of Al2 (SO4) 3 = 0.0777 moles * 342.15g/mol

    Mass of Al2 (SO4) 3 = 26.59 grams

    There is 26.59 grams of aluminium sulfate produced
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