HesapHanem

Concentrate to Water Calculator

Enter the concentrate volume, its strength and the target strength.

How it is calculated

The tool uses the dilution balance C₁ × V₁ = C₂ × V₂, where C₁ is the strength of the concentrate (%), V₁ its volume, C₂ the strength you want (%) and V₂ the final volume. Total volume is V₂ = V₁ × C₁ / C₂ and the water to add is V₂ − V₁. Both results come out in whatever volume unit you typed for the concentrate, rounded to two decimals. All three inputs must be above zero, and the target cannot be stronger than the concentrate: asking for a higher target gives no result. If the two strengths are equal, the water to add is 0.00. The calculation assumes volumes simply add up.

Worked example

You have 250 ml of a 10% concentrate and want a 2% mix. Total volume: 250 × 10 / 2 = 1,250 ml. Water to add: 1,250 − 250 = 1,000 ml. The tool shows 1,000.00 for the water and 1,250.00 for the total. In other words, one part concentrate is topped up with four parts water, giving a mixture five times larger than the starting volume.

Try this example →

Common mistakes

  • Entering the target as a dilution ratio such as 1:5 instead of a strength. Enter the percentage you want in the final mix, here 2, not 5.
  • Mixing units between the concentrate volume and your measuring jug. The answer comes back in the unit you entered, so ml in means ml out.
  • Treating the water figure as the total. Water to add is only the top-up; the container ends up holding the larger total shown separately.
  • Putting a target stronger than the concentrate. The tool cannot dilute upward and returns nothing, so check which of the two numbers is the label strength.
  • Using a concentrate strength in different terms from the target, such as w/v for one and v/v for the other. Both must be on the same basis.

Sources

About this calculator

Diluting a concentrate to a weaker strength follows the same conservation-of-mass logic as the C₁V₁ = C₂V₂ dilution equation: the total volume needed at the target strength is V₂ = V₁ × (C₁ ÷ C₂), so the water to add is simply V₂ minus the concentrate volume you started with, V₁.

This calculator applies that relationship directly to everyday dilution tasks — diluting cleaning-product concentrates, juice or squash concentrates, liquid fertilizers, and disinfectants to a manufacturer's recommended strength — so you don't have to solve the ratio by hand or risk a mix that's too strong or too weak for its intended use.

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Comments (1)

  • Editorial team

    This tool starts from the amount of concentrate you have, but in practice you often start from a container size. Work backwards: concentrate needed = final volume × target strength ÷ concentrate strength. For a 5 litre sprayer at 2 percent from a 10 percent concentrate that is 1 litre, so enter 1 and the total should come back as 5. Do you usually mix by the bottle, by the bucket or by the sprayer tank?

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