Molarity
Molarity (M) is defined as the number of moles of solute per
liter of solution.
molarity = moles of solute / liters of solution
Molality
Molality (
m) is defined as the number of moles of solute per
kilogram of solvent.
molality = moles of solute / kilograms of solvent
Although their spellings are similar, molarity and molality cannot be interchanged. Compare the molar and molal volumes of 1 mol of solute dissolved in CCl
4 (
d = 1.59 g / mL)
By definition, a 1 M solution would contain 1 mol of solute in
exactly 1.00 L of CCl
4 , and a 1
m solution would contain 1 mol of solute in 629 mL of CCl
4 . 1 kg of CCl
4 x (1000 g / 1 kg) x (mL / 1.59 g) = 629 mL CCl
4 Normality
Normality (N) is another ratio that relates the amount of solute to the total volume of solution.
It is defined as the number of
equivalents per liter of solution:
normality = number of equivalents / 1 L of solution
There is a very simple relationship between normality and molarity:
N = n × M (where
n is an integer)
For an acid solution, n is the number of H+ provided by a formula unit of acid.
example: A 3 M H2SO4 solution is the same as a 6 N H2SO4 solution.
For a basic solution, n is the number of OH- provided by a formula unit of base.
example: A 1 M Ca(OH)2 solution is the same as a 2N Ca(OH)2 solution.
Remember!The normality of a solution is NEVER less than the molarity.