# How many grams are in 17.83 moles of carbon dioxide?

Apr 30, 2016

${\text{17.83 moles CO}}_{2}$ have a mass of $\text{784.7 g}$.

#### Explanation:

In order to determine the mass of a given numbers of moles of an element or compound, multiply the given moles by its molar mass.

Molar Mass of $\text{CO"_2}$

(1xx12.011 "g/mol")+(2xx15.999"g/mol")="44.009 g/mol CO"_2"

Multiply the given moles of $\text{CO"_2}$ times its molar mass.

$17.83 \cancel{\text{mol CO"_2xx(44.009"g CO"_2)/(1cancel"mol CO"_2)="784.7 g CO"_2}}$

May 1, 2016

Number of moles = mass of substance $\div$ molar mass

17.83 moles has been provided for you.

The formula of carbon dioxide is: $C {O}_{2}$.

The molar mass of carbon and oxygen is:
C = 12.0 g/mol
O = 16.0 g/mol
Therefore the molar mass of $C {O}_{2}$ is:
[$1 \times 12.0 + 2 \times 16.0$] = 44.0 g/mol.

The mass of $C {O}_{2}$ is:
$44.0 \times 17.83$ = 784.5 grams
Note: This answer is rounded to nearest one decimal place.

Overall, there are 784.5 grams in 17.83 moles of $C {O}_{2}$.