Dilution (M₁V₁ = M₂V₂) Calculator

Solve M₁V₁ = M₂V₂ for whichever of the four values you leave blank — the standard way to plan a dilution from a stock solution.

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What it asks for

The formula

M₁V₁ = M₂V₂

M₁ = concentration before dilution · V₁ = volume taken before dilution
M₂ = concentration after dilution · V₂ = total volume after dilution

From the article Dilution Formula M₁V₁ = M₂V₂ — When It Works and When It Fails.

Worked example

25.0 mL of 2.00 M HCl is diluted with water to a final volume of 250 mL. Find M₂.

M₁ = 2.00 M, V₁ = 25.0 mL, V₂ = 250 mL
M₂ = M₁V₁ ÷ V₂ = (2.00 × 25.0) ÷ 250 = 50.0 ÷ 250 = 0.200 M

Sanity check: the volume went up 10 times, so the concentration should drop 10 times. 2.00 ÷ 10 = 0.200. ✔

Worked in full in Dilution Formula M₁V₁ = M₂V₂ — When It Works and When It Fails.

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About this tool

This is one of the tools in the Chemistry Calculator Suite, a free calculator built for IIT-JAM, CSIR-NET, GATE and CUET (Chemical Science) preparation. Nothing is behind a login and no result is stored on a server — the arithmetic runs in your own browser.

The Dilution (M₁V₁ = M₂V₂) calculator above is the live tool — type your values and press its button; the answer appears in the same box. The link under it opens the full suite with this tool already selected, next to the others.

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