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Chemistry

Dilution Calculator

M₁V₁ = M₂V₂. Free online Dilution Calculator. Calculate dilution online — fast, accurate, mobile-friendly, no signup needed.

C₁·V₁ = C₂·V₂.
V₂
1

Derivation

  1. ├── 01GivenM1 = 1, V1 = 0.1, M2 = 0.1
  2. ├── 02Formulae.M1 × e.V1 / e.M2
  3. ├── 03Substitutee.1 × e.0.1 / e.0.1
  4. └── 04Compute V₂1
Did you know?

C₁V₁ = C₂V₂ encodes conservation of moles — the total amount of solute doesn’t change when you just add solvent.

§01What is

Understanding the Dilution Calculator

The Dilution Calculator computes V₂ from 3 inputs: m₁, v₁, m₂. M₁V₁ = M₂V₂.

Chemistry turns grams and moles into reactions. Getting the stoichiometry, dilutions, or concentrations right is the difference between a lab result you can trust and one you can’t reproduce. The Dilution Calculator sits in that toolkit — it M₁V₁ = M₂V₂. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

e.M1 × e.V1 / e.M2

Where

M1
M₁
V1
V₁
M2
M₂
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: M₁ = 1, V₁ = 0.1, M₂ = 0.1.

  1. 01Start by noting the input — M₁: 1.
  2. 02Start by noting the input — V₁: 0.1.
  3. 03Start by noting the input — M₂: 0.1.
  4. 04Substitute these values into the formula: e.M1 × e.V1 / e.M2
  5. 05Compute V₂: the calculator returns 1.
  6. 06Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Dilution Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

M₁ halved

M1 = 0.5 (from 1)

Keep every other input at its default and halve the m₁. See how v₂ responds.

  1. 01New M₁: 0.5
  2. 02Baseline V₂: 1
  3. 03New V₂: 0.5
  4. 04V₂ decreases by 50% → use this sensitivity to plan for real-world variation.
02 · PATTERN

M₁ doubled

M1 = 2 (from 1)

Keep every other input at its default and double the m₁. See how v₂ responds.

  1. 01New M₁: 2
  2. 02Baseline V₂: 1
  3. 03New V₂: 2
  4. 04V₂ increases by 100% → use this sensitivity to plan for real-world variation.
03 · PATTERN

V₁ halved

V1 = 0.05 (from 0.1)

Keep every other input at its default and halve the v₁. See how v₂ responds.

  1. 01New V₁: 0.05
  2. 02Baseline V₂: 1
  3. 03New V₂: 0.5
  4. 04V₂ decreases by 50% → use this sensitivity to plan for real-world variation.
04 · PATTERN

V₁ doubled

V1 = 0.2 (from 0.1)

Keep every other input at its default and double the v₁. See how v₂ responds.

  1. 01New V₁: 0.2
  2. 02Baseline V₂: 1
  3. 03New V₂: 2
  4. 04V₂ increases by 100% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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