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How to calculate molarity

Molarity is the number of moles of solute per litre of solution. Here is the formula, a worked example, and a shortcut for solving molarity problems quickly.

Molarity (MM) measures the concentration of a solution: the amount of solute dissolved in a given volume of solution.

M=moles of solutelitres of solutionM = \frac{\text{moles of solute}}{\text{litres of solution}}

Worked example

What is the molarity of a solution made by dissolving 2.0 moles of sodium chloride in 4.0 litres of water?

M=2.0 mol4.0 L=0.50 mol/LM = \frac{2.0\ \text{mol}}{4.0\ \text{L}} = 0.50\ \text{mol/L}

So the solution is 0.50 M NaCl.

What if you are given grams instead of moles?

Convert grams to moles first using molar mass:

moles=mass (g)molar mass (g/mol)\text{moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}}

Then apply the molarity formula. Practise on randomised molarity problems below.

Put it into practice

Practise this topic with questions and get an explanation after each answer.

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