Answer
There are $2.05 \times 10^{18}$ aspartame molecules in 1.00 mg of that substance.
Work Step by Step
1. Identify the conversion factor:
- Mole to molecules: $\frac{6.022 \times 10^{23} \space molecules}{1 \space mole}$
2. As we have calculated in 3.40b, there is a total of $ 3.40 \times 10^{-6} \space mole $ of aspartame in 1.00 mg of that substance.
$3.40 \times 10^{-6} \space mole \times \frac{6.022 \times 10^{23} \space molecules}{1 \space mole} = 2.05 \times 10^{18} \space molecules$