Question #47a1f
1 Answer
Explanation:
The dilution factor is defined as the ratio between the initial volume of the sample and the final volume of the solution.
#"D.F." = V_"initial"/V_"final"#
In your case, the initial sample has a volume of
The thing to keep in mind here is that the original sample is ultimately diluted to
So, you start with
#"D.F." = (25color(red)(cancel(color(black)("mL"))))/(750color(red)(cancel(color(black)("mL")))) = color(green)(1/30)#
Alternatively, you can think of it like this. You fist dilute the original sample to
#"D.F"_1 = (25color(red)(cancel(color(black)("mL"))))/(75color(red)(cancel(color(black)("mL")))) = 1/3#
Now you dilute this solution to a final volume of
#"D.F"_2 = (75color(red)(cancel(color(black)("mL"))))/(750color(red)(cancel(color(black)("mL")))) = 1/10#
The overall dilution factor will be the product of the two dilutions
#"D.F"_"total" = 1/3 xx 1/10 = 1/30#