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Dispute on the accuracy of this serial dilution

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Tyyyyuuu:
I think the last dilution in this series is 1 in 5 not, as it indicates in the table, 1 in 10. Am I wrong?!?! (the unit of volume is arbitrary, but lets say mL)

Borek:
That would mean all earlier dilutions are wrong as well, wouldn't it?

Tyyyyuuu:

--- Quote from: Borek on September 28, 2020, 04:32:58 PM ---That would mean all earlier dilutions are wrong as well, wouldn't it?

--- End quote ---

Thank you for your input. I suppose the "analytical dilution" makes sense if it's intended to be relative to just the prior dilution, and not the original stock solution. But if that's the case then the last dilution is 1 in 5 relative to the penultimate dilution.  ???

Borek:
No, I think you are misunderstanding something here. These dilutions are cumulative, each next one uses the previous solution.


--- Quote from: Tyyyyuuu on September 28, 2020, 05:17:25 PM ---But if that's the case then the last dilution is 1 in 5 relative to the penultimate dilution.
--- End quote ---

No, it is 1.25 (240/192).

Tyyyyuuu:

--- Quote from: Borek on September 28, 2020, 05:42:02 PM ---No, I think you are misunderstanding something here. These dilutions are cumulative, each next one uses the previous solution.


--- Quote from: Tyyyyuuu on September 28, 2020, 05:17:25 PM ---But if that's the case then the last dilution is 1 in 5 relative to the penultimate dilution.
--- End quote ---

No, it is 1.25 (240/192).

--- End quote ---

I follow what you are saying, but this is my line of thinking:

From the first row in the table, to the last:

450 mL diluent + 450 mL analyte is a 1 in 2 dilution
320                 + 640                        1 in 3
240                 + 720                        1 in 4
180                 + 720                        1 in 5
130                 + 650                        1 in 6
090                 + 540                        1 in 7
055                 + 385                        1 in 8

048                 + 640                        1 in 5 (not 1 in 10)

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