Molarity Calculator

Enter moles or solute mass, then the final solution volume, to calculate molarity in M (mol/L) and mM.

What amount do you have?
Solution molarityM means moles of solute per liter of final solution.
Moles of solute usedThis is the solute amount used in the concentration calculation.
Final solution volume usedThis is the final volume after conversion to liters.
Solution concentration in millimolarThis is the same concentration in mM. One M equals 1,000 mM.
Calculation using your values
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How to use our Molarity Calculator

  1. Choose "Moles of solute" when your problem or lab record gives mol, mmol, or umol. Choose "Mass of solute" when you weighed the material.
  2. For the mass choice, enter the net solute mass and the molar mass for the exact material you weighed.
  3. Enter the final solution volume and choose its unit. Use the total volume after dissolving the solute, not the amount of water added.
  4. Click "Calculate" to see the solution molarity, converted moles, converted final volume, and the calculation using your values.
  5. Check the answer by keeping the solute amount the same: a smaller final volume should produce a higher molarity.
Example inputs for Molarity Calculator
Example inputs for Molarity Calculator

Definitions

Molarity (M): The amount of solute, in moles, divided by the final solution volume in liters. M and mol/L have the same numeric value. [2]

Mole (mol): A unit for an amount of substance.

Molar mass (g/mol): The mass of one mole of a specific substance. It converts a measured mass into moles.

Final solution volume: The total volume after the solute has dissolved, not the starting solvent volume.

Millimolar (mM): One thousandth of a molar; 1 mM = 0.001 M.


Common mistakes and quick fixes

Mistake: Entering the water added instead of the final solution volume.
Fix: Check What amount do you have? and then recalculate. Enter the total volume after the solute dissolves and the solution reaches its final mark.

Mistake: Selecting mol when the given amount is in mmol or umol.
Fix: Check What amount do you have? and then recalculate. Keep the number as written and choose the unit printed with it.

Mistake: Including the container in the mass of solute.
Fix: Check What amount do you have? and then recalculate. Enter only the net mass of the weighed solute.

Mistake: Using the molar mass for an anhydrous material after weighing a hydrate.
Fix: Check What amount do you have? and then recalculate. Match the molar mass to the exact chemical form on the reagent label or in the stated formula.

Mistake: Treating the mM value as a different concentration from the M value.
Fix: Check What amount do you have? and then recalculate. They are the same concentration in different units: 1 M equals 1,000 mM.


Limitations & Key Assumptions / Boundary Conditions

  • The calculation uses the final solution volume you enter. It does not estimate volume changes caused by dissolving a solute.
  • For the mass path, the molar mass must match the exact reagent form weighed, including a hydrate or salt form when applicable.
  • The calculator converts mol, mmol, umol, g, mg, ug, L, mL, and uL, but it does not identify a chemical formula or check reagent purity.
  • Solute amount, molar mass, and final solution volume must be greater than zero for a positive molarity calculation.
  • Displayed values are rounded for reading. Report a lab result with precision that fits the measurements used.

Methodology

Calculation method

Molarity is the amount of dissolved solute in moles divided by the final solution volume in liters. [2]

M = moles of solute (mol) / final solution volume (L)

For a mass entry, the calculator first converts the entered mass to grams when needed, then divides by molar mass to find moles.

moles of solute = solute mass (g) / molar mass (g/mol)

Milli means one thousandth and micro means one millionth, so the calculator converts mmol, mg, and mL by 0.001 and umol, ug, and uL by 0.000001. [1]

concentration (mM) = molarity (M) x 1000

Worked example

If 5.844 g of a substance with a molar mass of 58.44 g/mol is made into 500 mL of final solution, the amount is 0.1 mol and the final volume is 0.5 L.

M = 0.1 mol / 0.5 L = 0.2 M

The same concentration is 200 mM.


Sources