# Question #14c76

##### 1 Answer

#### Explanation:

It's worth knowing that the **dilution factor**,

#"DF" = V_"diluted"/V_"stock"#

In your case, the volume of the diluted solution will be equal to

#V_"diluted" = 15 quad mu"L" + 450 quad mu"L" = 465 quad mu"L"#

This means that the dilution factor for this dilution is equal to

#"DF" = (465 color(red)(cancel(color(black)(mu"L"))))/(15color(red)(cancel(color(black)(mu"L")))) = color(blue)(31)#

Now, an equally important thing to know is that the **dilution factor** also tells you the ratio that exists between the concentration of the stock solution and the concentration of the diluted solution.

#"DF" = c_"stock"/c_"diluted"#

This means that you have

#c_"diluted" = c_"stock"/"DF"#

which, in your case, gives you

#c_"diluted" = c_"stock"/color(blue)(31)#

So for this dilution, the concentration of the **diluted solution** will be **times lower** than the concentration of the **stock solution**, i.e. you p[erformed a