Question

How many grams are in 17.83 moles of carbon dioxide?

Answer 1

`"17.83 moles CO"_2` have a mass of `"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 `"CO"_2"`

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

Multiply the given moles of `"CO"_2"` times its molar mass.

`17.83cancel"mol CO"_2xx(44.009"g CO"_2)/(1cancel"mol CO"_2)="784.7 g CO"_2"`

Answer 2

Number of moles = mass of substance `-:` molar mass

17.83 moles has been provided for you.

The formula of carbon dioxide is: `CO_2`.

The molar mass of carbon and oxygen is:
C = 12.0 g/mol
O = 16.0 g/mol
Therefore the molar mass of `CO_2` is:
[`1 xx 12.0 + 2 xx 16.0`] = 44.0 g/mol.

The mass of `CO_2` is:
`44.0 xx 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 `CO_2`.