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Solution Volume for a Target Strength

Strength is solute divided by the whole solution, so dividing the solute by the target strength gives the solution needed. The solvent is whatever is left after removing the solute.

Your numbers

Solution (g)

400g

Solvent (g)

380g

Formula

Solution (g) = Solute (g) ÷ (Target % ÷ 100)

Solution means solute plus solvent. Adding that amount of solvent on top instead leaves the mixture weaker than the target.

What to enter

InputDefaultAccepted range
Solute (g) (g)The stuff being dissolved — sugar, salt and the like.200 and up
Target % (%)The concentration you want; lower means add water, higher means add solute.50 ~ 100

Step by step

FormulaSolution (g) = Solute (g) ÷ (Target % ÷ 100)
With the default numbersSolution (g) = 20 ÷ (5 ÷ 100)
AnswerSolution (g) = 400 g

Quick reference table

Results when only Solute (g) (g) changes and everything else stays put.

Solute (g) (g)Solution (g) (g)Solvent (g) (g)
10200190
15300285
20400380
30600570
40800760

What each result means

ResultAt default values
Solution (g) (g)Solute and solvent together.400
Solvent (g) (g)What does the dissolving — usually water.380

Common mistakes

Solution means solute plus solvent. Adding that amount of solvent on top instead leaves the mixture weaker than the target.

Glossary

Solute (g)
The stuff being dissolved — sugar, salt and the like.
Target %
The concentration you want; lower means add water, higher means add solute.
Solution (g)
Solute and solvent together.
Solvent (g)
What does the dissolving — usually water.

Frequently asked questions

Q. How is Solution Volume for a Target Strength calculated?

Solution (g) = Solute (g) ÷ (Target % ÷ 100) — Strength is solute divided by the whole solution, so dividing the solute by the target strength gives the solution needed. The solvent is whatever is left after removing the solute.

Q. Can you walk through an example?

With Solute (g) 20g, Target % 5%, the answer is Solution (g) 400g.

Q. What do I need to enter?

Enter Solute (g), Target %. The result recalculates as you type, and an empty box counts as zero.

Q. How much does the answer move if I change a number?

Changing only Solute (g) (g) moves the answer to Solute (g) (g) 10 → Solution (g) (g) 200 and Solute (g) (g) 40 → Solution (g) (g) 800. The table below lays out five steps.

Q. How are the numbers rounded?

Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.

Q. Anything to watch out for?

Solution means solute plus solvent. Adding that amount of solvent on top instead leaves the mixture weaker than the target.

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