Dilution Factor Calculator

Calculate the dilution factor (DF) from stock and final concentrations or volumes. Find concentration after n-fold dilution. Used in labs for making working solutions.

💧 Solutions📐 DF = C0/Cf = Vf/Vi🧪 Chemistry

Initial concentration C0

Final concentration Cf

OR Initial volume Vi (mL)

Final volume Vf (mL)

Please enter valid values.

Formula & Reference

Variable	Symbol	Formula	Units
Dilution Factor Calculator	—	DF = C0/Cf = Vf/Vi	dimensionless

Step-by-Step Examples

Example 1

From Concentrations

Dilute 1.00 M stock to 0.050 M.

DF = C0/Cf = 1.00/0.050 = 20x
Take 1 part stock + 19 parts diluent = 1:20

✓ DF = 20x (1:20 dilution)

Example 2

From Volumes

Transfer 5.0 mL to total 100 mL.

DF = Vf/Vi = 100/5.0 = 20x
Same as 1:20 dilution

✓ DF = 20x

Example 3

Working from Dilution Factor

DF=100x. Stock = 10 mg/mL. Working solution?

Cf = C0/DF = 10/100 = 0.10 mg/mL

✓ Working solution = 0.10 mg/mL

Real-World Applications

🧪

Lab Reagent Prep

Making 10x, 100x, 1000x dilutions of stock solutions for experiments.

🧬

Immunoassays

Serial dilutions for antibody titer determination; DF describes each step.

💊

Drug Concentrations

Dilution factors convert between stock drug concentrations and patient doses.

🔬

Spectroscopy

Samples too concentrated for linear Beer-Lambert range diluted by known DF.

Common Mistakes to Avoid

⚠️

DF = Vf/Vi not Vi/Vf

Dilution factor = total final volume / initial volume. DF > 1 always for a dilution.

⚠️

1:DF notation means 1 part in DF total

1:10 means 1 mL sample + 9 mL diluent = 10 mL total. DF=10. Not 1:9!

⚠️

C_final = C_initial / DF

After applying dilution factor DF: Cf = C0/DF. This is equivalent to C1V1=C2V2.

Frequently Asked Questions

What is a dilution factor? ▾

DF = C_initial/C_final = V_final/V_initial. Tells you how many times more dilute the final solution is compared to the stock.

How do I make a 1:100 dilution? ▾

Transfer 1 mL of sample into 99 mL of diluent (total 100 mL). Or 0.1 mL into 9.9 mL.

What is the difference between dilution ratio and dilution factor? ▾

Dilution ratio 1:10 means 1 part in 10 (DF=10). But 1 to 10 (1+10) means 1 part in 11 (DF=11). Convention varies; specify method.

How do I combine dilution factors? ▾

Multiply: 1:10 then 1:10 again = 1:100 total (DF = 10 x 10 = 100). For n equal dilutions: DF_total = DF^n.

What is back-calculation? ▾

If original sample was diluted 100x before measurement, multiply measured concentration by 100 to get original sample concentration.

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Formula Explorer connections

Interpretation: This formula connects solute amount and solution volume, mass or particle count to concentration and colligative behavior. Assumption: Distinguish solution volume from solvent volume, use the stated temperature, and account for dissociation or nonideal activity when required.

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