# Question #4ab7b

##### 1 Answer

#### Answer:

Not quite!

#### Explanation:

The important thing to always keep in mind when dealing with **dilution factors** is that the dilution factor depends on two things

thevolume of the initial solution, i.e. the concentrated solutionthetotal volumeof thefinal solution, i.e. the diluted solution

More specifically, the dilution factor is calculated like this

#color(blue)(|bar(ul(color(white)(a/a)"DF" = V_"final"/V_"initial"color(white)(a/a)|)))#

Here

**final volume** of the solution

**initial volume** of the solution

In your case, you make a solution by dissolving

This means that in your case you have

#V_"initial" = "1 mL"#

you start with this sample of concentrated solution

#V_"final" = "1 mL" + "100 mL" = "101 mL"#

you add the concentrated sample toanother#"100 mL"# of water

The dilution factor will thus be

#"DF" = (101 color(red)(cancel(color(black)("mL"))))/(1color(red)(cancel(color(black)("mL")))) = 101#

In order to have a dilution factor of **enough water** to get the **total volume** to

#"DF" = (100color(red)(cancel(color(black)("mL"))))/(1color(red)(cancel(color(black)("mL")))) = 100#

As a final note, a dilution factor equal to **initial solution** was **times more concentrated** than the diluted solution.