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MasterMath

Molarity Calculator

Molarity is moles of solute per litre of solution — the standard way chemistry measures concentration.

Result

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How this was worked out

    The formula

    M = n / V

    SymbolQuantityUnit
    MMolaritymol/l
    nMoles of solutemol
    VVolume of solutionl

    What it means

    Molarity counts particles rather than mass, which is what reactions actually care about. One mole is 6.022 × 10²³ particles, so a 1 M solution has that many dissolved units in every litre.

    How to work it out by hand

    1. Work out the moles of solute
    2. Measure the total volume of solution in litres
    3. Divide the moles by the litres

    What is worth knowing

    The detail that catches people is 'per litre of solution', not per litre of solvent: you dissolve the solute first and then make up to the mark, because dissolving changes the volume. Molarity also varies with temperature, since the volume expands, which is why molality — moles per kilogram of solvent — is preferred for precise work. For everyday laboratory use the difference is small enough to ignore, and molarity's convenience wins.

    Frequently asked questions

    What is a mole?

    6.022 × 10²³ particles, which is Avogadro's number. It is a counting unit, like a dozen but very much larger.

    Is it per litre of solution or of solvent?

    Of solution. Dissolve the solute first, then make the volume up to the mark.

    What is the difference between molarity and molality?

    Molarity is per litre of solution and changes with temperature; molality is per kilogram of solvent and does not.

    How do I prepare a 1 M solution?

    Weigh out one mole of the solute, dissolve it, and add solvent until the total volume is one litre.