# Question #ba256

##### 1 Answer

#### Explanation:

The **dilution factor** essentially tells you by what factor the concentration of the *diluted solution* **decreased** compared with the concentration of the *initial solution*.

A dilution is based on the principle that you can **decrease** the concentration of a solution by

keeping the number of moles of soluteconstantincreasingthe volume of the solution

The dilution factor can thus be calculated by dividing the volume of the target solution, i.e. the **diluted solution**, by the volume of the initial solution, i.e. the **concentrated solution**.

#color(blue)(|bar(ul(color(white)(a/a)"D.F." = V_"diluted"/V_"concentrated"color(white)(a/a)|)))#

In your case, you are adding

The **total volume** of the diluted solution will be

#V_"diluted" = "100 mL" + "200 mL" = "300 mL"#

The dilution factor will thus be

#"D.F." = (300 color(red)(cancel(color(black)("mL"))))/(100color(red)(cancel(color(black)("mL")))) = 3#