Question

Question #4ab7b

Answer 1

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

`V_"final"` - the final volume of the solution
`V_"initial"` - the initial volume of the solution

In your case, you make a solution by dissolving `"0.4772 g"` of solute in `"100 mL"` of water. You then take `"1 mL"` of this solution and add it to another `"100 mL"` of water.

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 `100`, you must take the `"1 mL"` sample and add enough water to get the total volume to `"100 mL"`. This would then get you

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

As a final note, a dilution factor equal to `101` means that your initial solution was `101` times more concentrated than the diluted solution.