Answer
$ 3.40 \times 10^{-6} \space mole$ of aspartame.
Work Step by Step
1. Identify the conversion factors:
- $mg$ to grams : $\frac{1 \space g}{1000 \space mg}$
- Grams (aspartame) to moles (aspartame): $\frac{1 \space mole \space (aspartame)}{294.3 \space g \space (aspartame)**}$
** This was calculated in 3.40a
2. Calculate the number of moles in 1.00 mg of that substance.
$1.00 \space mg \space (aspartame) \times \frac{1 \space g}{1000 \space mg} \times \frac{1 \space mole \space (aspartame)}{294.3 \space g \space (aspartame) }=$
$ 3.40 \times 10^{-6} \space mole \space (aspartame)$
