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16 February, 02:01

In a certain experiment 10.0g of magnesium nitride is allowed to react with 5.00 g of water. Calculate the final mass of ammonia, water, and magnesium nitride at the end of the reaction.

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  1. 16 February, 03:13
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    The final mass of ammonia is 1.57 grams

    The final mass of water is 0 grams

    The final mass of magnesium nitride is 5.34 grams

    Explanation:

    Step 1: Data given

    Mass of Mg3N2 = 10.0 grams

    Molar mass of Mg3N2 = 100.95 g/mol

    Mass of H2O = 5.00 grams

    Molar mass H2O = 18.02 g/mol

    Step 2: The balanced equation

    Mg3N2 + 6H2O → 3Mg (OH) 2 + 2NH3

    Step 3: Calculate moles Mg3N2

    Moles Mg3N2 = mass / molar mass

    Moles Mg3N2 = 10.0 grams / 100.95 g/mol

    Moles Mg3N2 = 0.0991 moles

    Step 4: Calculate moles H20

    Moles H2O = 5.00 grams / 18.02 g/mol

    Moles H2O = 0.277 moles

    Step 5: Calculate the limiting reactant

    H2O is the limiting reactant. It will completely be consumed (0.277 moles).

    Mg3N2 is in excess. There will react 0.277/6 = 0.0462 moles

    There will remain 0.0991 - 0.0462 = 0.0529 moles

    This is 0.0529 moles * 100.95 g/mol = 5.34 grams

    Step 6: Calculate moles of NH3

    For 1 mol Mg3N2 we need 6 moles H2O to produce 3 moles Mg (OH) 2 and 2 moles NH3

    For 0.277 moles H2O we'll have 0.277/3 = 0.0923 moles NH3

    Step 7: Calculate mass NH3

    Mass NH3 = moles NH3 * molar mass NH3

    Mass NH3 = 0.0923 moles * 17.03 g/mol

    Mass NH3 = 1.57 grams
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