Question #689e9
1 Answer
The dilution factor is equal to
Explanation:
The dilution factor is simply the ratio between the final volume and the initial volume of the solution.
#color(blue)("DF" = V_"final"/V_"initial")#
You start with 3 mL of stock solution, which you mix with 3 mL of water in tube
#V_"final" = "3 mL" + "3 mL" = "6 mL"#
The dilution factor will be
#DF_1 = V_"final"/V_"initial" = (6color(red)(cancel(color(black)("mL"))))/(3color(red)(cancel(color(black)("mL")))) = 2#
Now you take a 3-mL sample from the solution in tube
The final volume will once again be
#DF_2 = V_"final"/V_"initial" = (6color(red)(cancel(color(black)("mL"))))/(3color(red)(cancel(color(black)("mL")))) = 2#
Finally, you do the same thing for tube
#DF_3 = V_"final"/V_"initial" = (6color(red)(cancel(color(black)("mL"))))/(3color(red)(cancel(color(black)("mL")))) = 2#
This means that you've essentially performed a serial dilution, for which multiple dilution steps have thesame dilution factor.
To get the overall dilution factor, you multiply the dilution factors you have for each successive step
#DF_"total" = DF_1 xx DF_2 xx DF_3#
#DF_"total" = 2 xx 2 xx 2 = color(green)(8)#
This means that you've performed a