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I would like to calculate the concentration of 10 µM unit in vitro to blood plasma unit ng/ml?

What formula do I need to use?

Do I need to use molecular weight? In my case, it is 314,47 g/mol for Cannabidiol

Can someone help?

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    $\begingroup$ You cannot be serious. I hope it is just a test question at high school level and not a real lab task. $\endgroup$
    – Poutnik
    Oct 4, 2020 at 20:42

1 Answer 1

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$10~ \mu$mol is $10^{-5}$ mol, and it weighs $\ce{10^{-5}}~ $mol · $314.47$ g/mol = $3.1447·10^{-3}$ g = $3.1447$ mg.

$1$ mL of this solution contains $3.1447~\mu$g cannabinol, which is also $3144.7$ ng. So the concentration of your solution is $3144.7$ ng/mL

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  • $\begingroup$ Be aware of proper taming of precision. 10.000 uM may mean 3144.7 ng/mL, but 10 uM does not. 3140 ng/mL is more than enough $\endgroup$
    – Poutnik
    Oct 4, 2020 at 21:28
  • $\begingroup$ @Poutnik. OK ! Let's admit $3140$ ng/mL, or even $\ce{3.1 10^2}$ ng/mL $\endgroup$
    – Maurice
    Oct 6, 2020 at 10:17
  • $\begingroup$ You mean $\pu{3.1e3}$ $\endgroup$
    – Poutnik
    Oct 6, 2020 at 10:26

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