High School Elucidating atomic scale vs. macro scale

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A liter of water contains approximately 3.35*10^25 molecules, equating to an immense number of pennies if stacked. Stacking these pennies could reach 130 trillion stacks, enough to span the average distance from Earth to the Moon. The discussion highlights the astonishing scale of atomic versus macro measurements, emphasizing how small molecules are. Additionally, it speculates on the distribution of molecules from historical figures, suggesting that one might step on around 1,000 molecules from Julius Caesar's body with each step. This illustrates the pervasive nature of molecular distribution in our environment.
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An answer that seems unbelievable
There are 3.35*10^25 molecules in one liter of water. If we are given a penny for every molecule, how high could you stack the pennies given that a stack of 17 pennies equals one inch?
Or, to further reduce this large number into something more tangible, how many stacks equal to the distance between Earth and moon could on make with these pennies given an average earth/moon separation of 238,855 miles?
So my answer...
If you have a penny for every water molecule in one liter of water, you can make 130,016,267,822,000 stacks of pennies equal to the average distance between Earth and moon.
This number seem unbelievably high. Can it be right? If someone has time to check this, I would appreciate it.
Thanks.
 
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That looks about right... molecules really are that small.

Here's another one to consider. Assume for the sake of argument that in the two thousand years or so since Julius Caesar died, the molecules that made up his body have been more or less evenly scattered across the surface of the earth. How many molecules from his body are you stepping on every time you take a step?
 
I know the one about the glass of water distributed in the ocean.
Just as a guess, on the order of 1,000 molecules.
 
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