# How many molecules are there in 14.1 moles of sulfuric acid, H_2SO_4?

Jan 15, 2018

$8.49 \cdot {10}^{24}$ $\text{molecules}$ of sulfuric acid

#### Explanation:

A mole is a unit of measurement that counts things. Just like a dozen always means twelve objects, a mole means $6.022 \cdot {10}^{23}$ items. There happen to be $6.022 \cdot {10}^{23}$ molecules in one mole.

So by recognizing that there is a conversion factor (i.e. that we can treat two equivalent statements as multiplying by $\frac{1}{1}$, such as $\text{12 inches"/"1 foot}$), we can convert moles into molecules.

I am going to set up a train conversion, where I convert from one unit to another by setting up the units to divide out, leaving me with the units I am converting into.

$\frac{\text{14.1 moles}}{1}$*$\text{6.022*10^23 molecules"/"1 mole}$

$\frac{\text{14.1}}{1}$*$\text{6.022*10^23 molecules"/"1}$

$14.1$* $6.022 \cdot {10}^{23}$ $\text{molecules}$ = color(blue)(8.49*10^24 color(blue)("molecules" of sulfuric acid.