A 20.0% (w/w) aqueous solution of NaOH has a density of 1.125 g/cm^3. What is the molarity (M) of this solution?

1 answer

In one neat and tidy equation it is
1.125 g/cc x 1000 cc x (20/100) x (1 mol/40g) = ? Molar

In pieces.
mass of 1000 cc is 1.125 g/cc x 1000 cc = ?
mass of NaOH in that 1000 cc solution is ?mass x 0.20 = ?
mols NaOH in that mass NaOH is ?grams/molar mass
All of that gives you mols NaOH/L solution and that's the definition of molarity.