Dilution Calculator Formula

Understand the math behind the dilution calculator. Each variable explained with a worked example.

Use the Dilution Calculator

Formulas Used

Final Concentration (M2)

conc_final = (conc_initial * vol_initial) / vol_final

Solvent to Add

solvent_added = vol_final - vol_initial

Variables

VariableDescriptionDefault
conc_initialInitial Concentration (M1)(M)2
vol_initialInitial Volume (V1)(mL)50
vol_finalFinal Volume (V2)(mL)200

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.

Worked Example

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

conc_initial = 2vol_initial = 50vol_final = 200
  1. 01M2 = (M1 × V1) / V2
  2. 02M2 = (2 × 50) / 200
  3. 03M2 = 100 / 200
  4. 04M2 = 0.5 M

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