# How many molecules are there in 4.00 mol of glucose?

##### 1 Answer

#### Explanation:

What you're looking for here is a *conversion factor* that will take you from **moles** of glucose, **molecules** of glucose.

A useful information to have would be the number of molecules in **one mole** of any substance, since knowing how many molecules you get in **one mole** will allow you to calculate how many you'd get in **moles**.

As it turns out, chemists have a special number that designates how many molecules you get in one mole of a substance - this is known as **Avogadro's number**.

More specifically, Avogadro's number tells you that one mole of any substance contains

#color(blue)(|bar(ul(color(white)(a/a)"1 mole" = 6.022 * 10^(23)"molecules"color(white)(a/a)|))) -># Avogadro's number

This will act as the conversion factor that will take you from moles to molecules.

So, if one mole of glucose contains

#4.00 color(red)(cancel(color(black)("moles"))) * overbrace((6.022 * 10^(23)"molec.")/(1color(red)(cancel(color(black)("mole")))))^(color(purple)("Avogadro's number")) = color(green)(|bar(ul(color(white)(a/a)2.49 * 10^(24)"molecules"color(white)(a/a)|)))#

The answer is rounded to three **sig figs**, the number of sig figs you have for the number of moles of glucose.