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Calculator Answers

Dilution Calculator

Blake Boege
Written by Blake Boege · Founder, Calculator Answers

Dilution is the process of reducing the concentration of a solute in a solution, usually by mixing it with more solvent. A dilution calculator computes the relationship between the concentrations and volumes of two solutions using the formula M1V1 = M2V2. By inputting three of the variables, the calculator solves for the missing parameter and determines the dilution factor. Laboratory researchers, pharmacists, and chemistry students use this tool to prepare standard solutions from concentrated stock solutions.

Choose what to solve for, enter the other three values, and the calculator returns the missing variable along with the dilution factor. A separate serial dilution helper walks through fixed-factor step plans.

See also: Molarity Calculator, mg to mL Calculator Using Concentration, and Molality Calculator.

Quick Answer

Calculate dilution concentrations or volumes using the M1V1 = M2V2 formula. Enter any three variables to solve for the fourth.

Solve for

mol/L
mol/L

V2 unit

Serial dilution helper

Same factor at every step. Useful for cell-counting plates or calibration curves.

mol/L
x

Total dilution factor: 1,000x

Final concentration after 3 steps: 0.001 mol/L

Result

Stock volume V1

10 mL

FormulaV1 = (M2 x V2) / M1 = (0.1 x 0.1) / 1 = 0.01 L
Dilution factor10x

Dilution factor is M1 / M2 (equivalently V2 / V1). Stock plus diluent volumes should equal the final volume; the calculator assumes additive volumes for educational purposes.

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Examples

M1 = 1 M, M2 = 0.1 M, V2 = 100 mL

V1 = 10 mL

M1 = 2 M, V1 = 25 mL, V2 = 500 mL

M2 = 0.1 M

Serial 10x for 3 steps from 1 M

= 0.001 M, total 1,000x

M1 = 0.5 M, V1 = 50 mL, M2 = 0.05 M

V2 = 500 mL

How it works

A dilution adds solvent (usually water) to a stock solution. The moles of solute stay constant, so the product of concentration and volume is the same before and after.

Dilution · M1 V1 = M2 V2

Serial · final = start / factor^steps

Volumes can be in any matching unit on both sides; concentrations likewise. The calculator handles mL or L automatically.

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Molarity CalculatorFind molarity, moles, volume, or mass from any three known values using M = n / V (and n = m / M when molar mass is supplied). Educational chemistry only, not lab or dosing advice.mg to mL Calculator Using ConcentrationConvert an amount in milligrams to a volume in millilitres using the concentration printed on the product, or work backwards from a volume. Concentration is required; mg and mL do not convert directly.Molality CalculatorSolve molality (mol/kg) = moles of solute / kg of solvent for any of the three variables, with an optional grams-to-moles helper. Includes a clear molality vs molarity reminder.Stoichiometry CalculatorCalculate chemical reaction yields and mole ratios based on balanced equation coefficients.

Frequently asked questions

M1V1 = M2V2. The moles of solute do not change during a dilution. M1 and V1 are the stock concentration and volume; M2 and V2 are the final concentration and volume after adding solvent. Pick any three values and the calculator returns the fourth.

The dilution factor is M1 / M2, equivalently V2 / V1. A 10x dilution factor means the final concentration is one tenth of the stock. The calculator reports the dilution factor along with the missing variable.

Pick a starting concentration, a fixed dilution factor per step, and a number of steps. The final concentration after N steps is start divided by factor to the N. The calculator's serial helper returns the final concentration and the total dilution factor.

M1V1 = M2V2 is unit agnostic for the concentrations and volumes, as long as you use the same units on both sides. The page uses mol/L and either mL or L. If you have mg/mL or percent solutions, convert to mol/L first or keep the same unit on both sides.

Yes. Real solutions can have small volume changes when components mix, but the standard educational treatment assumes additive volumes. Diluent volume to add is V2 minus V1 in the same units.

No. The calculator is an educational tool that performs the standard arithmetic. Do not use the output for laboratory preparation, dosing, or any safety-critical decision; consult an instructor or a vetted procedure.