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19 October, 03:46

What is the emperical formula for a compound containing 68.3% lead, 10.6% sulfur, and the remainder oxygen? a. Pb2SO4 b. PbSO3 c. PbSO4 d. PbSO2 e. PbS2O3

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  1. 19 October, 03:52
    0
    The empirical formula is PbSO4 (option C)

    Explanation:

    Step 1: Data given

    Suppose the mass of a compound is 100.0 grams

    The compound contains:

    68.3 % lead = 68.3 grams

    10.6 % sulfur = 10.6 grams

    Rest = oxygen

    Molar mass Pb = 207.2 g/mol

    Molar mass S = 32.065 g/mol

    Molar mass O = 16.0 g/mol

    Step 2: Calculate mass O

    MAss O = 100 - 68.3 - 10.6 = 21.1 grams

    Step 3: Calculate moles

    Moles = mass / molar mass

    Moles Pb = 68.3 grams / 207.2 g/mol

    Moles Pb = 0.3296 moles

    Moles S = 10.6 grams / 32.065 g/mol

    Moles S = 0.3306 moles

    Moles O = 21.1 grams / 16.0 g/mol

    Moles O = 1.319 moles

    Step 4: Calculate mol ratio

    We divide by the smallest amount of moles

    Pb: 0.3296/0.3296 = 1

    S: 0.3306/0.3296 = 1

    O: 1.319/0.3296 = 4

    The empirical formula is PbSO4 (option C)
  2. 19 October, 04:16
    0
    Molecular formula → PbSO₄ → Lead sulfate

    Option c.

    Explanation:

    The % percent composition indicates that in 100 g of compound we have:

    68.3 g of Pb, 10.6 g of S and (100 - 68.3 - 10.6) = 21.1 g of O

    We divide each element by the molar mass:

    68.3 g Pb / 207.2 g/mol = 0.329 moles Pb

    10.6 g S / 32.06 g/mol = 0.331 moles S

    21.1 g O / 16 g/mol = 1.32 moles O

    We divide each mol by the lowest value to determine, the molecular formula

    0.329 / 0.329 = 1 Pb

    0.331 / 0.329 = 1 S

    1.32 / 0.329 = 4 O

    Molecular formula → PbSO₄ → Lead sulfate
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