# Do the units used to express the volume of the solution affect the dilution factor?

##### 1 Answer

Not necessarily.

#### Explanation:

The **dilution factor** is simply the ratio that exists between the volume of the **diluted solution** and the volume of the **concentrated solution**

#color(blue)(ul(color(black)("DF" = V_"diluted"/V_"concentrated")))#

The dilution factor must be a *unitless quantity* since it is calculated by taking the ratio of two volumes. In this regard, you only need the two volumes to be expressed using **the same unit of measurement**.

As long as both volumes are expressed using the same unit of measurement, their ratio will give you the dilution factor.

For example, if you diluted

#"DF" = (100 color(red)(cancel(color(black)("mL"))))/(5 color(red)(cancel(color(black)("mL")))) color(white)(color(black)(-> " the volume of the diluted solution")/color(black)(-> " the volume of the concentrated solution"))#

#"DF" = 20#

Notice what happens when you use *liters* instead of milliliters. Since

#color(blue)(ul(color(black)("1 L" = 10^3"mL")))#

you can say that

#"DF" = (100 * color(blue)(cancel(color(black)(10^(-3)))) color(red)(cancel(color(black)("L"))))/(5 * color(blue)(cancel(color(black)(10^(-3)))) color(red)(cancel(color(black)("L")))) = 20#

As you can see, the value of the dilution factor does not change.

So remember, the dilution factor must be calculated by dividing volumes expressed in the **same unit of measurement**.