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28 March, 19:19

Each molecule of ampicillin contains 16 atoms of carbon (plus other atoms). The mass percent of carbon in ampicillin is 55.00%. What is the molar mass of ampicillin?

A) 698.8 g/mol

B) 105.7 g/mol

C) 192.2 g/mol

D) 290.9 g/mol

E) 349.4 g/mol

do i divide the mass of carbon by the mass percent?

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Answers (2)
  1. 28 March, 19:23
    0
    First, we calculate the mass of Carbon ampicillin contains:

    16 moles of atoms x 12 grams per mole

    = 192 grams

    192 is 55% of the total mass of ampicillin.

    Total mass = 192 / 0.55

    = 349 g/mol

    The answer is E.
  2. 28 March, 19:48
    0
    The answer is E) 349.4 g/mol

    Yes, divide the mass of carbon by the mass percent

    Step 1. Calculate the mass of 16 atoms of carbon in ampicillin.

    Step 2. Make a proportion and divide the mass of carbon by the mass percent.

    Step 1.

    Atomic mass of carbon is 12.01 g/mol

    Since there are 16 atoms of carbon, the mass of carbon in ampicillin will be:

    16 * 12.01 g/mol = 192.16 g/mol

    Step 2.

    Make a proportion. 192.16 g/mol are 55%. How many grams are 100% (ampicillin mass is 100%):

    192.16 g/mol : 55% = x : 100%

    x = 192.16 g/mol : 55% * 100%

    x = 349.38 g/mol

    x ≈ 349.4 g/mol
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