# What is the dilution factor if a 200 µL sample is diluted by adding 500 µL and then 300 µL of solvent?

Jul 16, 2016

The dilution factor is 5.

#### Explanation:

The dilution factor $\text{DF}$ is given by

color(blue)(|bar(ul(color(white)(a/a) "DF" = V_f/V_i color(white)(a/a)|)))" "

where

${V}_{f} = \text{final volume" = "200 µL + 500 µL + 300 µL" = "1000 µL}$

${V}_{i} = \text{sample volume" = "200 µL}$

"DF" = (1000 cancel("µL"))/(200 cancel("µL")) = 5

You have diluted the sample by a factor of 5.

Your $\text{DF}$ is 5.

The volume of reagent does not affect the dilution factor in any special way. It simply contributes to the final volume.