Answer
There are $3.69 \times 10^{19} $ hydrogen atoms in 1.00 mg of aspartame.
Work Step by Step
1. As we have calculated in 3.40c, there are $2.05 \times 10^{18}$ aspartame molecules in 1.00 mg of that substance.
We need to convert: number of aspartame molecules to number of hydrogen atoms.
According to the molecular formula: $C_{14}H_{18}N_2O_5$, each aspartame molecule has 18 hydrogen atoms.
Thus, the conversion factor is: $\frac{18 \space hydrogen \space atoms}{1 \space aspartame \space molecule }$
2. Calculate the amount of hydrogen atoms:
$2.05 \times 10^{18} \space aspartame \space molecules \times \frac{18 \space hydrogen \space atoms}{1 \space aspartame \space molecule} = $
$3.69 \times 10^{19} \space hydrogen \space atoms$
