Dilution Calculator
Calculate the stock volume and solvent volume needed for a target concentration. Choose molar, millimolar, or micromolar concentration units plus liters, milliliters, or microliters for volume output.
Formula
M1V1 = M2V2
Concentration
M, mM, uM
Volume
L, mL, uL
Live calculator
Dilution setup
Stock volume
25 mL
Solvent
225 mL
Dilution factor
10x
Final moles
0.025 mol
Formula check
M1V1 = M2V2, using 1 M stock, 100 mM target, and 250 mL final volume.
Check dilution arithmetic across common units
Stock volume
Calculate how much concentrated solution is needed before adding solvent.
Solvent volume
Subtract stock volume from final volume so the dilution setup balances.
Unit comparison
Switch between L, mL, and uL output without rewriting the concentration equation.
Dilution formulas used on this page
Simple dilution assumes the amount of solute stays constant while solvent changes the final concentration.
Working formulas
Dilution equation
M1V1 = M2V2
Stock concentration times stock volume equals target concentration times final volume.
Stock volume
V1 = (M2 x V2) / M1
Solve for the volume of stock solution needed.
Solvent volume
solvent = V2 - V1
Final volume minus stock volume gives the amount added as solvent.
Symbols
- M1 - stock concentration
- The concentration of the starting solution before dilution.
- V1 - stock volume
- The volume of stock solution needed for the final mixture.
- M2 - desired concentration
- The target concentration after the dilution.
- V2 - final volume
- The total mixture volume after stock and solvent are combined.
Dilution results that keep every assumption visible
Unit-aware setup
- Inputs normalize concentration units before applying the equation.
- Result volume can be shown in liters, milliliters, or microliters for comparison.
- The calculator flags impossible setups where the desired concentration exceeds the stock concentration.
- The result panel shows dilution factor and final moles to support formula checking.
Educational boundaries
- The page explains the simple dilution equation without becoming a lab protocol.
- FAQ answers cover unit consistency, concentration limits, and solvent-volume interpretation.
- Related links connect dilution arithmetic to molar mass and pH concentration checks.
- The guide source notes point users to chemistry references for the equation and SI unit context.
Dilution support for chemistry practice
Students
Practice M1V1 = M2V2 with visible units and a clear stock-volume result.
Teachers
Generate classroom examples that show concentration, volume, and dilution factor together.
Formula reviewers
Check whether the target concentration is possible before solving a worksheet problem.
How it works in three quick steps.
Enter the stock concentration
Add the starting concentration and choose M, mM, or uM so the calculator can normalize to molarity.
Enter the target and final volume
Add the desired concentration and final volume in matching practical units.
Read stock and solvent volumes
Use the stock volume and solvent volume as a formula check for classroom dilution problems.
Save or print a dilution result
Copy the dilution setup
Copy the stock volume, solvent volume, final volume, and unit labels in one summary.
Print the calculation
Print inputs, results, formula notes, FAQ answers, and related chemistry links.
Compare unit views
Switch result units to compare the same setup in liters, milliliters, and microliters.
Why dilution calculators must show units beside the formula
Dilution mistakes often come from unit mismatches rather than the equation itself. A user may enter stock concentration in molar units, target concentration in millimolar units, and final volume in milliliters. The relationship M1V1 = M2V2 still works, but only after the units are put on a common basis. Toolarithm's Dilution Calculator normalizes those units and then shows stock volume, solvent volume, dilution factor, and final moles so the setup can be checked.
The page is intentionally framed for education. It explains the arithmetic of simple dilutions and links to a concentration guide, but it does not provide laboratory safety procedures, sterile technique, or medical instructions. Real lab work can involve purity, density, temperature, hazardous materials, calibration, and institutional protocols. This calculator is best used for chemistry practice, worksheet checks, and formula understanding.
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