# Question #2a04f

##### 1 Answer

#### Explanation:

The **dilution factor** is simply the ratio between the **final volume** of the solution, i.e. the volume of the *diluted solution*, and the **initial volume** of the solution, i.e. the volume of the *concentrated* sample.

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

In your case, the volume of the concentrated solution is said to be equal to *diluted* by the addition of

This means that the volume of the **diluted solution** will be

#V_"diluted" = V_"stock" + V_"diluent"#

#V_"diluted" = "25 mL" + "1000 mL" = "1025 mL"#

The dilution factor will thus be

#"DF" = (1025 color(red)(cancel(color(black)("mL"))) )/(25color(red)(cancel(color(black)("mL")))) = color(green)(|bar(ul(color(white)(a/a)color(black)(41)color(white)(a/a)|)))#

I'll leave the answer rounded to two **sig figs**, but keep in mind that you only have one sig fig for the volume of diluent.

So, a dilution factor of **times more concentrated** than the diluted solution.