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24 June, 03:57

A gaseous compound containing carbon and hydrogen was analyzed and found to consist of 83.65% carbon by mass. The molar mass of the compound is 86.2 g/mol. What is the molecular formula of the compound

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  1. 24 June, 04:16
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    The molecular formula is C6H14

    Explanation:

    Step 1: Data given

    Suppose the mass of compound = 100 grams

    A compound contains:

    Carbon = 83.65 % = 83.65 grams

    Hydrogen = 16.35 % = 16.35 grams

    Atomic mass of carbon = 12.01 g/mol

    Atomic mass of hydrogen = 1.01 g/mol

    Molar mass of compound = 86.2 g/mol

    Step 2: Calculate moles

    Moles = mass / molar mass

    Moles carbon = 83.65 grams / 12.01 g/mol

    Moles carbon = 6.965 moles

    Moles hydrogen = 16.35 grams / 1.01 g/mol

    Moles hydrogen = 16.19 moles

    Step 3: Calculate mol ratio

    We divide by the smallest amount of moles

    C: 6.965 moles / 6.965 moles = 1

    H = 16.19 moles / 6.965 moles = 2.33

    This means for 1 mol C we have 2.33 moles H OR for 3 moles C we have 7 moles H

    The empirical formula is C3H7

    The molecular mass of this formula is 43.1 g/mol

    Step 4: Calculate molecular formula

    We have to multiply the empirical formula by n

    n = 86.2 g/mol / 43.1 g/mol

    n = 2

    Molecular formula = 2 * (C3H7) = C6H14

    The molecular formula is C6H14
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