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You are breathing Caesar's air...

bran987

New member
Before I go on, take a really deep breath. Seriously. Go ahead.
Now, what do you think the chances are that you just inhaled a
molecule that Caesar exhaled on his dying breath? Surprisingly
it's better than 99%. Here's the logic. We can safely assume
that after 2,000 years, all the molecules that Caesar actually
exhaled are evenly distributed throughout the atmosphere. If
there are N molecules of air in the world and Caesar exhaled
X of them, then the probability that any molecule you just
inhaled is from Caesar is X/N. The probability that none of
the molecules you just inhaled are from Caesar is 1-X/N.
Using the multiplicative function, if you inhale three
molecules, the chance that none are his are [1-X/N]^3. In fact,
if you inhale Y molecules, the chance that none are from Caesar
are [1-X/N]^Y. Which means the probability of you inhaling at
least one molecule Caesar exhaled is 1-[1-X/N]^Y. X and Y
are about 1/30th of a mole, or 2.2x10^22 and N is roughly 10^44
molecules, so the probability works out to over 99%! On a
molecular level, we really are all part of each other.

:heks:?
 
bran987 said:
there are N molecules of air in the world and Caesar exhaled
X of them, then the probability that any molecule you just
inhaled is from Caesar is X/N. The probability that none of
the molecules you just inhaled are from Caesar is 1-X/N.
Using the multiplicative function, if you inhale three
molecules, the chance that none are his are [1-X/N]^3. In fact,
if you inhale Y molecules, the chance that none are from Caesar
are [1-X/N]^Y. Which means the probability of you inhaling at
least one molecule Caesar exhaled is 1-[1-X/N]^Y. X and Y
are about 1/30th of a mole, or 2.2x10^22 and N is roughly 10^44
molecules, so the probability works out to over 99%! On a
molecular level, we really are all part of each other.

:heks:?

The probability theory is correct. Should be (1 - X) / N

No physics guru here: where did you get that X and Y are 1/30th of a mole?
 
This ignores the exchange rates of O2 and CO2 between plants and animals which is vital to determining the potentital fore any of those paticular molecules to still be present in the atmosphere.
 
WODIN said:
This ignores the exchange rates of O2 and CO2 between plants and animals which is vital to determining the potentital fore any of those paticular molecules to still be present in the atmosphere.

exactly not all those molecules will still be air molecules

but actually still the chance is fairly great

just think about where all the water molecules that you drink have been...
 
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