Molarity Dilution Calculator
Work out molarity before and after dilution, and the mass of solute involved.
About Molarity Dilution Calculator
Diluting from 100 mL to 750 mL is a 7.5-fold dilution, so molarity falls by the same factor while the moles of solute stay constant. The mass of solute is shown because that is what was originally weighed. Recording the dilution factor rather than just the final concentration makes a preparation traceable and reproducible.
Formula
Molarity Dilution
M₂ = M₁V₁ ÷ V₂; moles are conserved throughout
- dilution factor
- Final volume divided by initial volume
Worked example
With the default values below, Molarity Dilution Calculator returns Final Molarity of 0.266667. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Initial molarityminimum 0 mol/L
- 2 mol/L
- Initial volumeminimum 0 mL
- 100 mL
- Final volume after dilutionminimum 0.001 mL
- 750 mL
- Molar mass of the soluteminimum 0 g/mol
- 58.44 g/mol
Results
- Final Molarity
- 0.266667 mol/L
- Dilution Factor
- 7.5000 x
- Moles of Solute
- 0.200000 mol
- Mass of Solute
- 11.6880 g
- Diluent Added
- 650.000 mL
Step by step
- 1Values used
- 2Molarity Dilution
- 3Final Molarity= 0.266667 mol/L
- 4Dilution Factor= 7.5000 x
- 5Moles of Solute= 0.200000 mol
- 6Mass of Solute= 11.6880 g
- 7Diluent Added= 650.000 mL
Assumptions and limits
- The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 6 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How is Molarity Dilution calculated?
M₂ = M₁V₁ ÷ V₂; moles are conserved throughout Diluting from 100 mL to 750 mL is a 7.5-fold dilution, so molarity falls by the same factor while the moles of solute stay constant. The mass of solute is shown because that is what was originally weighed.
Why does Molarity Dilution matter?
Recording the dilution factor rather than just the final concentration makes a preparation traceable and reproducible.
What values do I need to enter?
This calculator takes 4 inputs: Initial molarity, Initial volume, Final volume after dilution, Molar mass of the solute. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.