Here is a thorough explanation of why a 1:20 dilution is used for the manual WBC count:
Why 1:20 Dilution in WBC Count?
1. WBCs Are Far Less Numerous Than RBCs
The key reason is the relative abundance of cells in blood:
| Cell Type | Normal Count | Dilution Used |
|---|
| RBC | 4.5 - 5.5 million/µL | 1:200 |
| WBC | 4,000 - 11,000/µL | 1:20 |
WBCs are approximately 1000 times fewer than RBCs. If you used the same 1:200 dilution as for RBCs, the WBCs would be too sparse to count reliably in the Neubauer counting chamber. A lighter dilution of 1:20 brings the WBC concentration into a countable range (neither too crowded nor too sparse).
2. RBCs Must Be Eliminated
In whole blood, RBCs vastly outnumber WBCs and would obscure them completely. Turk's fluid (the diluting fluid) contains glacial acetic acid (1-2%), which:
- Lyses (destroys) all RBCs so they don't interfere
- Leaves WBCs intact
This means you only need enough dilution to make WBCs countable - you don't need the heavy dilution required for RBC counting.
3. Composition of Turk's Fluid
| Component | Amount | Role |
|---|
| Glacial acetic acid | 1-2 mL | Lyses RBCs |
| Gentian violet | 1 mL of 1% solution | Stains WBC nuclei (faint blue-violet tint) for easier identification |
| Distilled water | up to 100 mL | Diluent |
4. How the 1:20 Dilution Is Achieved Practically
Using a WBC pipette (Thoma pipette):
- Draw blood up to the 0.5 mark
- Draw Turk's fluid up to the 11 mark
- Volume of blood = 0.5 units
- Total volume = 11 units
- Dilution = 0.5/11 ≈ 1:20 (technically 1:21, but conventionally stated as 1:20)
Alternatively, mix 2 µL of blood with 38 µL of Turk's fluid = 1:20 dilution.
5. The Counting Formula
After loading the Neubauer chamber, WBCs are counted in all 4 large corner squares:
WBC/µL = (Cells counted × Dilution factor × Depth factor) / Area counted
= N × 20 × 10 / 4 mm²
= N × 50
The dilution factor of 20 is directly plugged into this formula.
6. Why Not 1:10 or 1:100?
- 1:10 - Too concentrated; cells overlap and are difficult to count individually
- 1:100 - Too dilute; too few cells per field, increasing counting error (Poisson error)
- 1:20 - The "sweet spot" that gives approximately 20-100 cells per large square, the optimal counting density
In summary: The 1:20 dilution is chosen because WBCs are rare enough that only a modest dilution is needed to make them countable, the acetic acid in Turk's fluid removes all RBCs so they are no longer a source of interference, and this dilution yields a cell density that minimizes both overcrowding and counting error on the Neubauer hemocytometer.