15 % (w/v) = 12% (v/v)?

[question]

I need to make a solution of Glycerol (per liter) 150 g (1.26 g/ml), final conc 15 % w/v. And here comes the clue, the only thing we have is glycerin (and that's the same, I know that) but that's is liquid!

 

I have found that i should go this way: Glycerol/glycerin has a density of 1.25 gm/mL.

15 % (w/v) is equal to 150 gm/Liter = 12% (v/v).

(150 gm/L)/(1.25 gm/mL) = 120 mL of glycerol/L.

 

My question: Is gm the same as g? How do you get 15 % (w/v) Glycerol= 12% (v/v)glycerin ?

 

Hope for inputs.

 

Thank you.