# Given density in #"g/L"#, how to calculate molar volume?

##### 1 Answer

#barV = M/D#

#D# in#"g/L"#

#M# in#"g/mol"#

You can do that with a unit conversion. In principle, if you can convert **from** the density **to** the molar volume, you can convert from the molar volume to the density, so I will show the former case.

Given a density in **molar volume** is known to have typical units of *reciprocal* to get:

#=> "L"/"g"#

Now, since you want to cancel out **multiply by the molar mass**.

#"L"/cancel"g" xx cancel"g"/"mol" = "L"/"mol"# #color(blue)(sqrt"")#

What we've just done can be written in variables.

Given a density

#color(blue)(barV = M/D)#