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22 June, 23:23

Consider a compound that is 67.57% C, 9.92% H, and 22.50% O by mass. Assume that we have a 100 g sample of this compound. Also consider that the molecular formula mass of this compound is 284.4 amu. What are the subscripts in the actual molecular formula for this compound?

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  1. 23 June, 02:33
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    The subscripts in the molecular formula are 16 for C, 28 for H and 4 for O

    Explanation:

    Let's work with the mass of compound and the percentage composition.

    100 g of compound has 67.57 g of C, 9.92 g of H and 22.5 g of O

    To find out in the molecular weight we must make a rule of three:

    100 g of compound has 67.57 g of C, 9.92 g of H and 22.5 g of O

    Then 284.4 g of compound would have:

    (284.4. 67.57) / 100 = 192 g of C

    (284.4. 9.92) / 100 = 28 g of H

    (284.4. 22.5) / 100 = 64 g of O

    We have to divide each mass, to determine the moles of each element

    192 g / 12 g/mol = 16 mol C

    28 g / 1 g/mol = 28 mol H

    64 g / 16 g/mol = 4 mol O

    The subscripts in the molecular formula are 16 for C, 28 for H and 4 for O
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