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12 November, 19:33

A mixture of BaCl2 and NaCl is analyzed by precipitating all the barium as BaSO4. After addition of an excess of Na2SO4 to a 3.988-g sample of the mixture, the mass of precipitate collected is 2.113 g. What is the mass percentage of barium chloride in the mixture?

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  1. 12 November, 22:39
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    The mass % of BaCl2 is 47.24 %

    Explanation:

    Step 1: Data given

    Molar mass BaSO4 = 233.38 g/mol

    Molar mass BaCl2 = 208.23 g/mol

    Step 2: The balanced equation

    BaCl2 (aq) + Na2SO4 (aq) → BaSO4 (s) + 2NaCl (aq)

    Step 3: Calculate moles BaSO4

    Moles BaSO4 = mass BaSO4 / molar mass BaSO4

    Moles BaSO4 = 2.113 grams / 233.38 g/mol

    Moles BaSO4 = 0.00905 moles

    Step 4: Calculate moles BaCl2

    For 1 mol BaCl2 we need 1 mol Na2SO4 to produce 1 mol BaSO4 and 2 moles NaCl

    For 0.00905 moles BaSO4 we need 0.00905 moles BaCl2

    Step 5: Calculate mass BaCl2

    Mass BaCl2 = moles BaCl2 * molar mass BaCl2

    Mass BaCl2 = 0.00905 moles * 208.23 g/mol

    Mass BaCl2 = 1.884 grams

    Step 6: Calculate % BaCl2

    % BaCl2 = (1.884 / 3.988) * 100%

    % BaCl2 = 47.24 %

    The mass % of BaCl2 is 47.24 %
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