Molarity Calculator
Calculate the molar concentration of a solution from the mass of solute, its molecular weight and the final solution volume. The calculator returns molarity (mol/L), the number of moles, gram-per-liter concentration and a worked dilution example using M₁V₁ = M₂V₂.
TheCalculators — Molarity Calculator
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Molarity
0.8556 M
1.7112 mol dissolved in 2 L
Solution summary
- Mass of Solute
- 100 g
- Molecular Weight
- 58.44 g/mol
- Moles of Solute
- 1.7112 mol
- Volume
- 2 L
- Molarity
- 0.8556 mol/L (M)
- Concentration
- 50 g/L = 50 mg/mL
- Millimolar
- 855.58 mM
Worked solution
- 11. Moles from massn = m ÷ MW = 100 g ÷ 58.44 g/mol = 1.7112 mol
- 22. Molarity from molesM = n ÷ V = 1.7112 mol ÷ 2 L = 0.8556 M
- 33. Check the unitsmol ÷ L = mol/L = M — the concentration is 0.8556 M
Dilution example (M₁V₁ = M₂V₂): to prepare 1 L of a 0.5 M working solution from this stock, take V₁ = M₂V₂ ÷ M₁ = 0.5 × 1 ÷ 0.8556 = 0.5844 L of stock and dilute to the final volume with solvent.
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Formula
M = n ÷ V = mass ÷ (MW × V) · dilution: M₁V₁ = M₂V₂
Pro tips
- • Volume is the FINAL solution volume, not the volume of solvent added.
- • Always add solute to about 80% of the water, dissolve, then top up to the mark.
FAQ
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