# How do you convert from #"kJ/g"# to #"kJ/mol"# ?

##### 1 Answer

Use the molar mass of the compound.

#### Explanation:

Your goal here is to convert *kilojoules per gram*, *kilojoules per mole*, *per unit of mass* to the amount of energy *per unit of mole*.

In order to do that, you essentially need to use a conversion factor that will take you from *grams* to *moles*. As you know, this conversion factor is the **molar mass** of the given compound.

In order to convert kilojoules per gram to kilojoules per mole, you need to multiply by *grams per mole*.

#"kilojoule"/color(red)(cancel(color(black)("gram"))) * color(red)(cancel(color(black)("gram")))/"mole" = "kilojoule"/"mole"#

Now, let's say that you're dealing with a compound that has a molar mass of **mole** of this compound has a mass of

Let's assume that when **conversion factor** to say that

#y quad overbrace("kJ"/(1 color(red)(cancel(color(black)("g")))))^(color(blue)("= kJ g"^(-1))) * overbrace((x quad color(red)(cancel(color(black)("g"))))/("1 mole"))^(color(blue)("the molar mass of the compound")) = overbrace(((xy) quad "kJ")/"1 mole")^(color(blue)("= kJ mol"^(-1)))#