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Dilution Calculator

Diluting a stock solution does not change the amount of solute, so concentration times volume stays constant.

Calculated Result
100 mL

Result

Stock (C1)

1 mol/L

Stock volume (V1)

10 mL

Final (C2)

0.1 mol/L

Final volume (V2)

100 mL

Solvent to add

90 mL

100 mL — Dilution

Calculation Breakdown

  1. Dilution equationC1 × V1 = C2 × V2C1V1=C2V2C_1 V_1 = C_2 V_2
  2. Solve for the unknown100 mL

What Is the Dilution Calculator?

A dilution calculator finds the volumes and concentrations in a dilution from a stock solution.

How Does the Dilution Calculator Work?

It applies C1V1 = C2V2, solving for whichever value is missing.

Dilution Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

C1V1=C2V2C_1 V_1 = C_2 V_2

The moles of solute taken from the stock (C1V1) equal the moles present in the final solution (C2V2).

How to Use the Dilution Calculator

  1. Pick the value to solve for, then enter the other three.

Step-by-Step Example Calculation

Dilute 10 mL of 1 M to 0.1 M

Input Values:

solveFor:finalVolume
c1:1
v1:10
c2:0.1
Worked Steps: You need 100 mL final volume — add 90 mL of solvent.

Understanding Your Result

The result shows the unknown, the full set of values and the solvent to add.

Factors That Affect the Result

  • Any change in stock or final concentration or volume shifts the answer.

When Should You Use This Calculator?

  • Use it whenever you prepare a working solution from a concentrated stock.

Assumptions & Limitations

  • Assumes volumes are additive and the solute amount is conserved.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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