Calculate Number of Solute Molecules in 30mM Solution in 100nm Sphere

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The discussion centers on calculating the number of solute molecules in a 30mM solution within a spherical volume of 100nm radius. Initial calculations suggested approximately 6400 solute molecules, but this was questioned for accuracy. After re-evaluating the formula c = N/(N_A*V), participants arrived at a revised estimate of around 75000 molecules. The conversation highlights the importance of correct unit conversions and formula application in such calculations. Ultimately, the consensus points towards a significantly higher number of solute molecules than initially proposed.
towerette
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Suppose i have a spherical volume of 100nm with a solution 30mM.
How many solute molecules it corresponds to?

My answer is about 6400...is that correct?
im just not sure i did some conversion correctly...

Thanks
Alfio
 
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100nm is what? Radius? Diameter?

6400 of what?

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Sorry for not being clear, 100nm is the radius.
N = 6400 is the number of solute particles I get
from the formula c = N/(N_A*V), just wanted to know
if its right.
c = 30mM

Thanks.
Alfio
 
Formula is OK, but I got different number. Not necesarilly correctly.

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methods
 
I did the calculation again, i got around 75000 molecules, right?
Well..it seems I'm playing dices...


Alfio
 
That's what I got as well.

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