Dilution Factor - California State University, Sacramento
CSUS-Chemistry 31
Hint on AAS unknown solutions
Instructor: J.T.
Dilution Factor:
A water sample was tested (with dithizone in methylene chloride to make a color
solution) for lead content, but was diluted prior to obtaining the spectroscopy instrument
reading at 510 nm. This dilution involved using volumetric pipet to transfer 10 mL of the
sample to 250 mL volumetric flask. Based on the obtained calibration graph, the instrument
reading gave a concentration of 24.0 ppm for this diluted sample, what is the concentration of
lead in the original sample?
Solution:
1L
mg
24.0
¡Á 250 mL ¡Á
= 6.0 mg Pb in flask
1000 mL
L
This is also the milligram of Pb in the 10 mL (pipet) of original sample. Thus,
6.0 mg ¡Â ( 10 mL ¡Á
1L
) = 600.0 ppm Pb
1000 mL
Therefore, there is 600.0 ppm Pb in the original water sample.
Alternative Solution:
Using "dilution factor"
Dilution factor is defined as: total volume of solution per aliquot volume.
Where total volume of solution is: 10.0 + 240.0 = 250.0 mL (volumetric flask.)
250 mL
= 25
10 mL
Therefore, in the original water sample:
24.0 ppm ¡Á 25 = 600.0 ppm Pb
DF =
Volume of Flask
Volume of Pipet
¡Â
Note: For multiple dilutions the dilution factor is the product of the dilution factors for
each individual dilution.
DFtotal = DF1 ¡Á DF2 ¡Á DF3 ¡Á ¡¡Á DFn
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