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A mole is 6.022x10^23 particles. To find the volume of a mole of jellybeans simply multiply the volume of a single jellybean (1.192x10^-4 ft³) by 6.022x10^23. You get a volume of 7.178x10^19 ft³. Of course that doesn't take into consideration the air spaces trapped between the jellybeans, but...yeah.

So now you can just divide that volume by the volume of the Empire State Building and you'll have the number of buildings it would take to hold a mole of jellybeans.

(7.178x10^19 ft³) / (3.7x10^7 ft³) = 1.9x10^12 Empire State Buildings.

That's just under 2 TRILLION buildings the size of the Empire State Building. Truly, a mole is a dazzlingly huge number of particles and you can see why we typically only use it to count very small objects like atoms and molecules.

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14y ago

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