Molarity
Concentration of a solution
About Molarity
Molarity is the most common unit of solution concentration in chemistry: M = mol of solute ÷ litres of solution. The Toolenza calculator solves for any of moles, volume, or molarity given the other two, so you can pivot between "how much solute does my recipe call for" and "what concentration did I actually make."
When you reach for molarity (vs other concentration units)
- Molarity (mol/L) — the default for aqueous solutions in chemistry. Easy to dilute, easy to pipette, well-defined as long as temperature is controlled.
- Molality (mol/kg) — for colligative properties (freezing-point depression, boiling-point elevation). Independent of temperature because mass doesn't expand.
- Mass percent (% w/w) — for industrial / food labelling. Practical when you weigh both solute and solvent.
- Normality (N) — for acid-base and redox titrations. Equals molarity × equivalents-per-mole. Falling out of favour but still appears in textbooks.
Prepping a solution from scratch
Three steps:
- Decide the final volume you want (say, 500 mL).
- Multiply by the target molarity to get moles needed (e.g. 0.5 L × 0.1 M = 0.05 mol).
- Multiply moles by the molar mass of the solute to get the mass to weigh out (e.g. 0.05 mol × 58.44 g/mol for NaCl = 2.92 g).
Then dissolve in slightly less than the final volume, transfer to a volumetric flask, and top up — never weigh into the final volume directly, because the solute itself takes up space.
Diluting from a stock
Pair this calculator with the dilution tool — C₁V₁ = C₂V₂ — for the common workflow of "I have 1 M stock, I want 500 mL of 0.1 M." V₁ = (0.1 × 500) ÷ 1 = 50 mL of stock, diluted to 500 mL total.
Limits
Molarity depends on the final volume of solution, not the volume of solvent added. For very dense solutes or strong acids, the volume changes on mixing — molality is preferred in those cases. Molarity also drifts with temperature because liquid volumes expand; this only matters when precision is in the 0.1% range.
Frequently asked questions
Molarity: moles per litre of solution. Molality: moles per kilogram of solvent. Molality is temperature-independent; molarity changes with thermal expansion.
C₁V₁ = C₂V₂. Pick the dilution mode for stepwise solution prep.
The calculator handles both — enter mass + molar mass, or moles directly.
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Molarity
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