Dilution Factor

Step 1: Identify the sample (solute) volume
This is the volume of the original solution you are diluting.

Step 2: Determine the total volume
Total volume = Sample volume + Diluent (e.g., water, saline)

Step 3: Apply the formula

DF = \frac{\text{Total Volume}}{\text{Sample Volume}}

Step 4: Express the result
Write as a ratio (e.g., 1:10, 1:100)


2. Practice Problems

Problem 1:
You mix 2 mL of sample with 8 mL of diluent.

  • Total volume = 10 mL

  • DF = 10 / 2 = 5
    👉 Answer: 1:5 dilution


Problem 2:
You add 1 mL of serum to 99 mL of diluent.

  • Total volume = 100 mL

  • DF = 100 / 1 = 100
    👉 Answer: 1:100 dilution


Problem 3:
You dilute 0.5 mL of sample with 4.5 mL of saline.

  • Total volume = 5 mL

  • DF = 5 / 0.5 = 10
    👉 Answer: 1:10 dilution


Problem 4 (Serial Dilution):
You perform two consecutive 1:10 dilutions.

  • First dilution = 1:10

  • Second dilution = 1:10
    👉 Overall DF = 10 × 10 = 100 (1:100)


3. Interpreting Results

  • DF = 1: No dilution (original sample)

  • Small DF (e.g., 1:2, 1:5): Slight dilution (still relatively concentrated)

  • Large DF (e.g., 1:100, 1:1000): Highly diluted (very low concentration)


Key Interpretation Rule

  • The higher the dilution factor, the lower the concentration of the final solution.


Clinical/Lab Insight

  • If results are too high, dilute more (increase DF)

  • If results are too low, dilute less

  • Always multiply the final result by the DF to get the original concentration