What equation does this calculator use?

It uses C1V1 + C2V2 = Cf·Vf, where C1 and C2 are the concentrations of the two source solutions, V1 and V2 are the volumes you mix, Cf is your target concentration, and Vf is the total final volume. The tool solves simultaneously for V1 and V2 given the constraint V1 + V2 = Vf.

Does the unit matter — M vs % vs ppm?

All four concentration values (C1, C2, Cf, and the result) must use the same unit. The unit selector applies to all fields at once. Changing units does not convert values — you must re-enter numbers in the new unit.

What if my target concentration is outside the range of the two stocks?

If Cf is not between C1 and C2, no valid mixing ratio exists. The calculator will show an error in that case. You must choose a target concentration that lies between (or equal to) the two stock concentrations.

Can I use water (zero concentration) as Solution 2?

Yes. Set C2 = 0 and the calculator reduces to a simple dilution: V1 = Cf·Vf / C1 and V2 = Vf − V1, which matches the classic C1V1 = C2V2 formula.

What volume units are supported?

You can enter the final volume in milliliters (mL) or liters (L). Volumes V1 and V2 are reported in the same unit you chose.

Is any data sent to a server?

No. All calculations happen in your browser with JavaScript. Nothing is sent to any server.

Solution Mixing Calculator

Name: Solution Mixing Calculator
Availability: InStock
Author: Nham Vu

Enter two solution concentrations and your target concentration and volume; the calculator tells you exactly how much of each to mix.

Mix Two Solutions

C₁V₁ + C₂V₂ = C_fV_f

Concentration Unit

Molarity (M) Percent (%) ppm

Solution 1

Concentration (C₁)

Solution 2 (can be 0 for pure diluent)

Concentration (C₂)

Target Concentration (C_f)

Final Volume (V_f)

Fill in the values on the left and click Calculate to see results.

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Summary

Enter two solution concentrations and your target concentration and volume; the calculator tells you exactly how much of each to mix.

How it works

Enter the concentration of Solution 1 (the first stock).
Enter the concentration of Solution 2 (the second stock or diluent).
Set the desired final concentration and total final volume.
Choose a unit — molarity (M), percent (%), or ppm — applied consistently to all fields.
Click Calculate. The tool solves C1V1 + C2V2 = Cf·Vf for V1 and V2.
Results show the volume of each solution to measure out and a verification of the mixed concentration.

Use cases

Prepare a working buffer from two stock solutions in a lab.
Dilute a concentrated reagent by mixing it with a diluent at a known concentration.
Calculate how to blend two saline solutions to reach a clinical target concentration.
Mix two fertilizer concentrates to hit a desired ppm nutrient level.
Scale any C1V1 + C2V2 problem for classroom or exam practice.
Verify that a proposed mixing ratio actually meets a target specification.

Frequently Asked Questions

Last updated: 2026-06-11 · Reviewed by Nham Vu