Question

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

Answer 1

`8.49*10^24` `"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*10^23` items. There happen to be `6.022*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 `1/1`, such as `"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.

`"14.1 moles"/1`*`"6.022*10^23 molecules"/"1 mole"`

`"14.1"/1`*`"6.022*10^23 molecules"/"1"`

`14.1`* `6.022*10^23` `"molecules"` = `color(blue)(8.49*10^24` `color(blue)("molecules"` of sulfuric acid.