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Dilution Calculator

Science & Engineering

C1V1 = C2V2 for stock volume, final concentration or volume

Quick Answer

Dilution Calculator: C1V1 = C2V2 for stock volume, final concentration or volume. Stock volume V₁ = C₂V₂ ÷ C₁.

Final volume V₂

126.67

Add solvent: 26.67 (same unit as volumes)

C₁95.000
V₁100.00
C₂75.000
Solvent to add26.67

Steps (C₁V₁ = C₂V₂)

  1. 1V₂ = C₁V₁ ÷ C₂ = 95 × 100 ÷ 75 = 126.67
  2. 2Solvent = V₂ − V₁ = 126.67 − 100.00 = 26.67
  3. 3Dilution factor = C₁/C₂ = 1.27×

Common dilutions

ScenarioRatioNote
Medical alcohol95% → 75%75% disinfects best
84 disinfectant1:100 (5%→0.05%)Surface disinfection
Bleach for wounds—Do NOT use 84/alcohol on wounds
Lab serial dilution1:10 each step10× per step, log scale
Pesticideper label (e.g. 1:500)Never overdose

💡 C₁V₁ = C₂V₂ conserves solute amount. Units of C must match on both sides (both % or both mol/L), same for V. For serial dilutions, multiply each step's factor. Alcohol dilution releases heat — add alcohol TO water, never the reverse, and volumes shrink slightly on mixing (contraction).

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How to Use

  1. Enter known quantities: fill values and confirm units in the Dilution Calculator.
  2. Instant solution: unknowns solve live with the formula shown transparently.
  3. Use constant/material tables: standard physical constants and material data are listed on this page.
  4. Compare conditions: change inputs to compare scenarios.

Key Points

  • Dilution Calculator is a free online science & engineering tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: C1V1 = C2V2 for stock volume, final concentration or volume.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Dilution law

C₁V₁ = C₂V₂ (solute is conserved)

Stock volume V₁ = C₂V₂ ÷ C₁
Lab practice: dilute up to the final volume in a volumetric flask — never assume volumes are additive; always add acid to water

FAQ

How do I use the Dilution Calculator?
Open the page and fill in the input fields — results update automatically. C1V1 = C2V2 for stock volume, final concentration or volume.
Are the results accurate?
Yes. Standard formulas and conversion factors are used and verified.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. Everything runs locally in your browser.

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Source & Updates

Based on CODATA recommended constants and standard physics formulas. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Dilution Calculator[EB/OL]. https://www.yijiansuan.com/en/c/science/dilution

Results provided by this tool are for reference only and do not constitute professional advice.