What is the dilution equation?

M1V1 = M2V2 relates initial and final concentrations and volumes, assuming no solute is added or removed.

Does the equation work for all concentration units?

Yes, as long as both concentrations use the same unit and both volumes use the same unit.

Can I find the initial volume needed?

Yes, rearrange to V1 = (M2 × V2) / M1 to find how much stock solution you need.

Free Dilution Calculator

Use the dilution equation M1V1 = M2V2 to find the final concentration or volume after diluting a solution.

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Initial Concentration (M1)

Initial Volume (V1)

Final Volume (V2)

Final Concentration (M2)

0.5000 M

Solvent to Add150.0 mL

Final Concentration (M2) vs Initial Concentration (M1)

View formula & how it works →

How to Calculate Dilution

Formula

M1 × V1 = M2 × V2

Solving for M2: M2 = (M1 × V1) / V2

Total moles of solute remain constant during dilution.

Example Calculation

Dilute 50 mL of 2 M HCl to a final volume of 200 mL.

01M2 = (M1 × V1) / V2
02M2 = (2 × 50) / 200
03M2 = 100 / 200
04M2 = 0.5 M

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