Answer
There are $2.71 \times 10^{24}$ carbon atoms in 1.50 moles of lactic acid.
Work Step by Step
1. Find the conversion factors.
Avogadro's number:
$6.022 \times 10^{23} \space molecules = 1 \space mole$
Each molecule of lactic acid has 3 carbon atoms:
$1 \space molecule \space (C_3H_6O_3) = 3 \space atoms \space (C)$
2. Calculate the number of carbon atoms in 1.50 moles of lactic acid.
$1.50 \space mole \space (C_3H_6O_3) \times \frac{6.022 \times 10^{23} \space molecules}{1 \space mole } \times \frac{3 \space atoms \space (C)}{1 \space molecule \space (C_3H_6O_3) }= 2.71 \times 10^{24} \space atoms \space (C)$