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Solution Dilution (M1V1 = M2V2) — result sheet
Find the concentration after diluting a stock solution to a new volume.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: M2 = M1 * V1 / V2.
Dilution adds solvent, not solute, so moles stay constant: M1V1 = M2V2. Both volumes must use the same unit.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Stock concentration (M1) — M; minimum 0; maximum 1000000
- Stock volume used (V1) — L; minimum 1.0E-6; maximum 1000000000
- Final volume (V2) — L; Must be the total volume after adding solvent.; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Stock concentration (M1) | 6 |
| Stock volume used (V1) | 0.1 |
| Final volume (V2) | 1 |
0.6 M
Assumptions and limits
- No reaction or volume contraction on mixing.
- Volumes share one unit; concentrations share one unit.
- Final volume is positive and is the total after dilution.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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