Glossary

molarity

Molarity is concentration in moles of solute per liter of solution — not per liter of solvent — and it falls when a solution is diluted, because the moles of solute stay and the volume grows.

Molarity is a concentration: moles of solute divided by liters of solution, written M and spoken as molar. The denominator is the volume of the finished solution, not the volume of solvent poured in, which is why a solution made up to the mark in a volumetric flask reads its stated molarity and one mixed in a beaker rarely does. M = moles of solute ÷ liters of solution. A worked case: 4.00 g of sodium hydroxide, molar mass 40.00 g/mol, is 0.100 mol; made up to 250 mL, it is 0.100 ÷ 0.250 = 0.400 M.

Diluting adds solvent and leaves the moles alone, so concentration falls in step with volume. That gives the one dilution equation worth carrying: C₁V₁ = C₂V₂, where the units of C match each other and the units of V match each other — milliliters on both sides are fine. Percent by mass is the other concentration questions use, and it is solute mass over total solution mass. A milligram answer where a molarity was asked for, or a volume in milliliters left as milliliters, is the usual arithmetic slip.

Source: NIST periodic table and reference data for the atomic masses and half-life figures, NIH PubChem for the substance data, and NIST Special Publication 811 for the unit conventions — the same sources the chemistry guide cites. All three are US federal government material, not subject to copyright in the United States. Every definition, example and calculation above was written for this course; no dictionary or textbook text is reproduced. (NIST and PubChem accessed 2026-10-26; definitions written 2026-10-27)

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