Question #4ab7b
1 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
- the volume of the initial solution, i.e. the concentrated solution
- the total volume of the final 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
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 to another
#"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
#"DF" = (100color(red)(cancel(color(black)("mL"))))/(1color(red)(cancel(color(black)("mL")))) = 100#
As a final note, a dilution factor equal to