Yes — use consistent units for concentration (both C₁ and C₂ in the same unit, like mol/L or %) and consistent units for volume (both V₁ and V₂ in the same unit, like mL or L). The equation itself works with any units as long as each pair matches; the calculator doesn't convert between unit systems for you.

What do 'initial' and 'final' mean here?

Initial (subscript 1) is your starting stock solution before dilution. Final (subscript 2) is the solution after you've added solvent to dilute it — V₂ is always the total volume after dilution, not just the amount of solvent you added on top of V₁.

Why does concentration × volume stay constant during dilution?

Because dilution only adds solvent — it doesn't add or remove any solute. The total moles (or mass) of solute is the same before and after, so C₁V₁ (moles in the original volume) must equal C₂V₂ (the same moles now spread through a larger volume).

Can I use this for percentage concentrations, not just molarity?

Yes — the C₁V₁ = C₂V₂ relationship holds for any consistent concentration unit, including molarity, percent w/v, or ppm, as long as you use the same unit for both C₁ and C₂.

How much solvent do I actually need to add?

The calculator gives you V₂, the final total volume — the amount of solvent to add is V₂ minus V₁ (your starting volume), not V₂ on its own.

Physics, Chemistry & Engineering Cluster

Dilution Calculator

Solve C1V1=C2V2 for any dilution quantity.

TL;DR: Dilution Calculator is a free, browser-based tool that lets you solve C1V1=C2V2 for any dilution quantity.

Solve for

Understanding the Dilution Calculator

The Dilution Calculator computes mechanical, electrical, thermodynamic, and chemical engineering properties using standard physical laws and SI unit conversions.

How It Works

Select your input physical variables and choose your engineering measurement units.
Enter numerical values for the known physical constants and parameters.
View the calculated physical property, force, or energy output.
Review the underlying physical equations and unit derivation breakdown.

Mathematical Formula & Methodology

Here is the standard mathematical equation used to calculate this result accurately:

C_1 V_1 = C_2 V_2

Formula Variables Explained:
Calculates required stock volume ($V_1$) to prepare a desired volume ($V_2$) of target concentration ($C_2$).

Step-by-Step Worked Example

Preparing $500\text{ mL}$ of $0.5\text{ M } \text{HCl}$ from a $6.0\text{ M}$ stock solution: $V_1 = \frac{0.5 \times 500}{6.0} = 41.67\text{ mL}$

How to Get the Best Results

Dimensional Consistency: Ensure all input variables are converted to compatible base SI units (Meters, Kilograms, Seconds, Kelvin).
Engineering Safety Factors: In real-world physical structures, always incorporate safety margins (1.5x–3.0x) beyond theoretical yield limits.
Ideal Assumptions: Physical equations model ideal conditions; real-world friction, air resistance, and thermal loss may apply.

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All processing runs locally inside your browser using JavaScript and HTML5 APIs. Your data, files, and inputs are never uploaded to any remote server. Complete privacy by design.

Frequently Asked Questions

: Yes — use consistent units for concentration (both C₁ and C₂ in the same unit, like mol/L or %) and consistent units for volume (both V₁ and V₂ in the same unit, like mL or L). The equation itself works with any units as long as each pair matches; the calculator doesn't convert between unit systems for you.
: Initial (subscript 1) is your starting stock solution before dilution. Final (subscript 2) is the solution after you've added solvent to dilute it — V₂ is always the total volume after dilution, not just the amount of solvent you added on top of V₁.
: Because dilution only adds solvent — it doesn't add or remove any solute. The total moles (or mass) of solute is the same before and after, so C₁V₁ (moles in the original volume) must equal C₂V₂ (the same moles now spread through a larger volume).
: Yes — the C₁V₁ = C₂V₂ relationship holds for any consistent concentration unit, including molarity, percent w/v, or ppm, as long as you use the same unit for both C₁ and C₂.
: The calculator gives you V₂, the final total volume — the amount of solvent to add is V₂ minus V₁ (your starting volume), not V₂ on its own.

Cite This Tool

Referencing this tool in a paper, article, or bibliography? Copy a ready-made citation below.

NexLove.org. (2026). Dilution Calculator [Software]. https://nexlove.org/tools/dilution-calculator.html

“Dilution Calculator.” NexLove.org, 2026, nexlove.org/tools/dilution-calculator.html.

NexLove.org (2026) Dilution Calculator. Available at: https://nexlove.org/tools/dilution-calculator.html (Accessed: 2026).

@misc{nexlove_dilution_calculator,
  title = {Dilution Calculator},
  author = {{NexLove.org}},
  year = {2026},
  url = {https://nexlove.org/tools/dilution-calculator.html}
}

Embed This Tool

Add the live Dilution Calculator tool to your own website with this snippet — it loads the real, working tool in an iframe, not a static screenshot.

<iframe src="https://nexlove.org/embed/dilution-calculator.html" width="100%" height="600" style="border:1px solid #e2e8f0;border-radius:12px" title="Dilution Calculator — NexLove.org" loading="lazy"></iframe>

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