What is the empirical formula of a substance that is 53.5% carbon (c), 15.5% hydrogen (h), and 31.1% nitrogen (n) by weight?

Question

What is the empirical formula of a substance that is 53.5% carbon (c), 15.5% hydrogen (h), and 31.1% nitrogen (n) by weight?

in progress 0
2022-05-20T19:32:23+00:00 2 Answers 0

Answers ( 2 )

  1. sheca
    0
    2022-05-20T19:33:29+00:00

    Empirical formula is the simplest ratio of whole numbers of components making up a compound.
    since percentage compositions have been given, we can calculate the masses of elements in 100 g of the compound
    carbon hydrogen nitrogen
    mass 53.5 g 15.5 g 31.1 g
    number of moles 53.5/12 15.5/1 31.1 / 14
    = 4.46 = 15.5 = 2.22
    divide by least number of moles
    4.46/2.22 = 2.0 15.5/2.22 = 6.9 2.22/2.22 = 1
    numbers rounded off
    C – 2
    H – 7
    N – 1
    Then empirical formula – Cu2082Hu2087N

  2. Kinsley
    0
    2022-05-20T19:33:40+00:00

    Assuming 100 grams of the compound, we can convert the masses to the number of moles using the atomic masses:
    53.5 g * 1 mol C / 12.0107 g C = 4.45 mol C
    15.5 g * 1 mol H / 1.00794 g H = 15.38 mol H
    31.1 g * 1 mol N / 14.0067 g N = 2.22 mol N

    We divide the number of moles of each element by the lowest number of moles, in this case, we divide by 2.22:
    C 4.45/2.22 = 2.00
    H 15.38/2.22 = 6.93 u2248 7
    N 2.22/2.22 = 1

    Therefore we can write the empirical formula using the number of moles calculated as the subscript for each element: C2H7N

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