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Dilution Calculator — C1V1 = C2V2 Solver

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The lab's favorite equation — solve C1V1 = C2V2 for whatever you're missing.

How to use this tool

  1. Choose what to solve for — that field is disabled and the others feed it.
  2. Enter the known values — keep units consistent (all mL, or all L; all M or all mg/mL).
  3. Press Calculate — the answer includes the practical instruction (how much stock, how much diluent).

Example

10 M stock into 0.5 M, final volume 100 mL: V1 = 100 × 0.5 ÷ 10 = 5 mL stock + 95 mL water — a 1:20 dilution.

The formula

C1 × V1 = C2 × V2 (the amount of solute is identical before and after diluting)

What the result means

Dilution conservs solute: whatever molecules were in the stock are all still there after you add water — spread through a bigger volume, hence a smaller concentration. The dilution factor (C1/C2) tells you the ratio at a glance, which is how bench protocols are usually written ('make 1:20').

Frequently asked questions

Does it matter which units I use?

Only consistency does: V1 and V2 in the same unit, C1 and C2 in the same unit. The equation is pure ratios.

Why does 5 mL stock + 95 mL water, not + 100 mL?

Because the final volume is what counts. 5 mL + 95 mL = 100 mL total; adding 100 mL of water would give 105 mL and a wrong concentration — the classic beginner's error.

Can it handle serial dilutions?

Not in one step — compute each stage separately, chaining the output C2 into the next C1. That's also the honest way to catch pipetting-error accumulation.

Is this lab data uploaded?

No — everything is computed in your browser.

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