Answer
Yes, it will reach the moon.
Work Step by Step
1 picomole $\times \frac{1 \times 10^{-12} \text { mole }}{1 \text { picomole }} \times \frac{6.022 \times 10^{23} \text { pennies }}{1 \text { mole }} \times \frac{1 / 16 \text { in }}{\text { penny }} \times \frac{1 \mathrm{ft}}{12 \mathrm{in}} \times \frac{1 \mathrm{mile}}{5280 \mathrm{ft}}$ $=5.9 \times 10^5$ miles
which is greater than 222,000 miles
Yes, it will reach the moon.
