How many mg of N are in a diet coke assuming a normal diet coke has 192 mg of aspartame?

Question

For every aspartame molecule, there are two nitrogen atoms. First, you must find the percent mass of nitrogen in the total molecule.

28 (approximate mass of two N)/ 294.3 g/mol (mass of aspartame) = 0.0951 of total mass

Since there are 192 mg of aspartame, the mass of nitrogen will be 0.0951 of this total mass.

192 mg x 0.0951 = 18.2592 mg of Nitrogen

Answer 1

192 mg aspartame x 1 g/1000 mg = 0.192 g aspartame

0.192 g x 1 mole/294.3 g = 6.52x10^-4 moles aspartame

6.52x10^-4 moles aspartame x 2 moles N/mole asp = 1.30x10^-3 moles of N

1.30x10^-3 mol N x 14 g/mol N = 1.8x10^-2 g N = 0.018 g N

0.018 g N x 1000 mg/g = 18 mg N