Solve any one variable in M₁V₁ = M₂V₂ for a true solution dilution, with mol/L or mmol/L and L or mL.
General chemistry
Your result
Enter your values and press Calculate to see your answer and all five solution steps.
M₁V₁ = M₂V₂
Common Mistakes
Do not use the volume of solvent added as V₂; V₂ is the total final solution volume.
Keep each concentration in mol/L or mmol/L and each volume in L or mL. The calculator converts these supported pairs, but mass percent, ppm, and normality are not interchangeable here.
A higher final concentration or smaller final volume describes concentration, not dilution; do not label that process a dilution.
Pair M₁ with V₁ and M₂ with V₂. Crossing initial and final conditions gives the wrong result.
Assumptions and limitations
This educational tool supports molar concentration only (mol/L and mmol/L) and volumes in L or mL. It assumes the same solute is retained, no reaction or loss occurs, and the solution is made up to a specified final volume.
The reported solvent-added volume is V₂ − V₁. It is an ideal preparation-to-volume value, not a claim that real solution volumes are always perfectly additive.
M₁V₁ = M₂V₂
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