# How many molecules are in 165 g of carbon dioxide?

May 28, 2016

$2.258 \times {10}^{24}$ molecules

#### Explanation:

We use Avogadro's number of $6.022 \times {10}^{23}$ molecules per mole to calculate the number of molecules from the number of moles represented by $\text{165 g}$ of carbon dioxide.

The gram-molecular weight of carbon dioxide can be calculated from the atomic weights for carbon and oxygen (two of them in ${\text{CO}}_{2}$) given in a Periodic Table of the Elements.

("165 g CO"_2)/("44.01 g/mol") xx (6.022xx10^23 "molecules")/"mol"

$= \setminus m a t h b f \left(2.258 \times {10}^{24} \text{molecules}\right)$