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Chemistry

Dilution relation

Adding solvent leaves the moles of solute unchanged, so the concentration-volume product is conserved.

The Formula

M1 x V1 = M2 x V2

Adding solvent leaves the moles of solute unchanged, so the concentration-volume product is conserved.

SymbolMeaning
M1Molarity before dilution
V1Volume before dilution
M2Molarity after dilution

What Each Symbol Means

M1mol/L

Molarity before dilution

The concentrated stock solution.

V1litres

Volume before dilution

The aliquot taken from the stock.

M2mol/L

Molarity after dilution

What you solve for when topping up to a final volume.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate molarity page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate Molarity, filed under Science. Every number the guide produces comes from substituting into this one line.