Chemistry
Solution Dilution Concentration Calculator
Calculate recovered solute, final concentration, dilution factor, target difference, uncertainty band, and ideal target stock volume.
Final solution volume-
Stock moles transferred-
Moles after entered recovery-
Calculated final concentration-
Stock divided by final concentration-
Calculated minus target concentration-
Lower uncertainty reference-
Upper uncertainty reference-
Ideal stock volume for entered target and final volume-
Decision view
Dilution vessel and concentration uncertainty band
Dilution vessel and concentration uncertainty bandTransferred stock and diluent combine in the final vessel while calculated, target, and uncertainty references share one molarity scale.
Exact scenario comparisonStock volume transferred (mL) changes while all other entered assumptions remain constant.
| Stock volume transferred (mL) | Final solution volume | Stock moles transferred | Moles after entered recovery | Calculated final concentration | Stock divided by final concentration | Calculated minus target concentration | Lower uncertainty reference | Upper uncertainty reference | Ideal stock volume for entered target and final volume |
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How to use Solution Dilution Concentration Calculator
- Enter stock concentration and transferred volume.
- Enter diluent, recovery, target, and uncertainty.
- Inspect the mole balance and target band.
Calculator guide
Understanding Solution Dilution Concentration Calculator
A dilution calculation conserves transferred solute moles before dividing by the final solution volume.
Calculation method
How the calculation works
Preserve transferred solute moles through a user-entered recovery factor, divide by final volume, and compare the result with a separately entered target. Convert transferred milliliters to liters, apply the recovery factor to moles, divide by final volume, and compare with the target.
Detailed calculation process
Track solute moles through dilution
The default transfers 25 mL of 2 mol/L stock, adds 175 mL diluent, assumes 99% recovery, targets 0.25 mol/L, and applies 1% uncertainty.
General formula: V_f = V_s+V_dn_s = C_s(V_s/1000)n_r = n_s(R/100)C_f = n_r/(V_f/1000)DF = C_s/C_fDeltaC = C_f-C_tBand = C_f(1 plus_or_minus u/100)V_s,target = C_tV_f/C_s Transferred volume is converted from milliliters to liters when calculating moles. Recovery reduces those moles before concentration is calculated from final volume.
What each symbol means
Worked substitution with the default inputs
The default final concentration is 0.2475 mol/L, 0.0025 mol/L below target, with a 0.245025–0.249975 mol/L uncertainty band.
Purpose-built visual
Dilution vessel and concentration uncertainty band
A two-vessel mixing diagram preserves the mole flow while a number-line band compares calculated and target concentration.
Worked situations
Practical examples
- The default transfers 25 mL of 2 mol/L stock, adds 175 mL diluent, assumes 99% recovery, targets 0.25 mol/L, and applies 1% uncertainty.
- The default final concentration is 0.2475 mol/L, 0.0025 mol/L below target, with a 0.245025–0.249975 mol/L uncertainty band.
Better inputs
Useful tips
- Change one input at a time and confirm that both the results and visual update.
- Keep every input in the unit printed beside it.
- Retain intermediate precision and round only the reported result.
Before relying on the result
Limitations and common mistakes
- Volume additivity is assumed.
- Temperature, activity, reaction, density, purity, mixing, and glassware tolerance require laboratory validation.
- The entered uncertainty is a simple reference band.
Reference
Key terms
- Molarity
- Moles of solute per liter of solution.
- Recovery
- Share of transferred solute retained.
- Dilution factor
- Stock concentration divided by calculated final concentration.
Important note
Calculated from the entered values using the displayed chemical relationship. Confirm identity, units, purity, conditions, and laboratory safety requirements.
Frequently asked questions
Why convert mL to L?
Molarity is defined per liter.
Does added diluent contain solute?
The model assumes it does not.
Why is the result below 0.25 mol/L?
The entered 99% recovery removes 1% of transferred solute.
Is the uncertainty a confidence interval?
No.