# How many moles are in 12.64 grams of carbon dioxide?

Jan 25, 2018

There are $\text{0.2872 mol CO"_2}$ in ${\text{12.64 g CO}}_{2}$.

#### Explanation:

Divide the given mass of ${\text{CO}}_{2}$ by its molar mass $\left(M\right)$. The molar mass of ${\text{CO}}_{2}$ is determined by multiplying the subscript of each element by its molar mass and adding them. The molar mass of an element is its atomic weight on the periodic table in g/mol.

${M}_{\text{CO"_2}}$$=$(1xx"12.011 g/mol C")+(2xx"15.999 g/mol O")="44.009 g/mol"

Since molar mass is a fraction $\left(\text{g"/"mol}\right)$, we can divide by multiplying by the reciprocal of the molar mass $\left(\text{mol"/"g}\right)$.

12.64color(red)cancel(color(black)("g CO"_2))xx(1"mol CO"_2)/(44.009color(red)cancel(color(black)("g CO"_2)))="0.2872 mol CO"_2