# How many moles of carbon atoms are equivalent to 38.1 g carbon?

Dec 27, 2016

$\text{3.17 moles}$

#### Explanation:

Your tool of choice here will be the molar mass of carbon, which you can use as a conversion factor to figure out how many moles of carbon would be present in that sample.

You can use the molar mass of carbon as a conversion factor because it represents the mass of $1$ mole of carbon

$\textcolor{b l u e}{\underline{\textcolor{b l a c k}{\text{molar mass C " = " mass of 1 mole of C}}}}$

Now, carbon has a molar mass of ${\text{12.011 g mol}}^{- 1}$, which means that $1$ mole of carbon has a mass of $\text{12.011 g}$.

This means that your sample will contain

$38.1 \textcolor{red}{\cancel{\textcolor{b l a c k}{\text{g"))) * "1 mole C"/(12.011color(red)(cancel(color(black)("g")))) = color(darkgreen)(ul(color(black)("3.17 moles C}}}}$

The answer is rounded to three sig figs, the number of sig figs you have for the mass of the sample.