# A balloon contains 2.58 * 10^24 molecules of methane gas. How many moles of methane are in this balloon?

Mar 24, 2016

A farmer collects 150 eggs; how many dozen eggs does he collect?

#### Explanation:

$\left(\text{150 eggs")/("12 eggs per dozen}\right)$ $=$ $12$ $\frac{1}{2}$ $\mathrm{do} z e n$

$\left(2.58 \times {10}^{24} \text{ molecules")/(6.022xx10^23*"molecules} \cdot m o {l}^{-} 1\right)$. This is approx. $2$ $m o l$?

Mar 25, 2016

$2.58 \times {10}^{24} \text{molecules CH"_4}$ contains $4.28 \text{mol CH"_4}$.
$1 \text{mole CH"_4=6.022xx10^23 "molecules CH"_4}$
In order to convert molecules to moles of a substance, divide the number of given molecules by $6.022 \times {10}^{23} \text{molecules/mol}$.
$2.58 \times {10}^{24} \cancel{\text{molecules CH"_4xx(1"mol CH"_4)/(6.022xx10^23cancel"molecules CH"_4)="4.28 moles CH"_4}}$ rounded to three significant figures