M₁V₁ = M₂V₂ Calculator for Solutions | Solve Molarity and Volume Problems
Use the M₁V₁ = M₂V₂ equation to calculate an unknown molarity or volume in a dilution problem. Enter the three known values to quickly determine the missing quantity.
About M₁V₁ = M₂V₂ Calculator
The equation M₁V₁ = M₂V₂ is one of the most useful shortcuts for basic solution-dilution calculations. It works on a simple idea: during an ordinary dilution, the number of moles of solute stays the same, even though the solution becomes more dilute.
The M₁V₁ = M₂V₂ Calculator helps you find whichever value is missing—initial molarity, initial volume, final molarity, or final volume. Just enter the three known quantities and solve for the fourth.
This can save time when preparing solutions from concentrated stock or checking answers in a chemistry practical. It is also useful for classroom exercises where several versions of the same dilution problem appear.
Remember that the formula applies to dilution, not to situations where the solute is consumed in a chemical reaction. Keep both volume values in the same units; milliliters can be used on both sides, for example. Molarity units should also match.