system
Given the following post, respond as if you're commenting on Reddit:
human
If molecules of water were the size of the cherry, droplet would be size of the Earth. Is this true?

I read this somewhere, but it seems too mindblowing to be true. I mean, I know molecules are really smal, but come on...
gpt
OK let's see. First let's lay out the numbers. 

Assuming we're talking about pure water:

1 drop of water = 0.05 mL

1 mole = 6.022 × 10^23 molecules

1 mole of water = 18 grams = 18 mL

Now let's find out how many moles of water are in a drop.

0.05 mL ÷ 18 mL = 0.0028 moles

And how many molecules in 0.0028 moles.

0.0028 × (6.022 × 10^23) = 1.69 × 10^21

If a cherry is 2 cm in diameter and a perfect sphere the area it occupies is.

(4/3) × pi × r^3 = 4.2 × 10^-6 m^3

Multiply by the number of molecules.

(4.2 × 10^-6 m^3) × (1.69 × 10^21) = 7.1 × 10^15 m^3

The volume of the earth is 1.1 × 10^21 m^3

As you can see between the two figures, the difference in volume would be 6.5 × 10^-6 that of earth's. 

Or if a cherry were a water molecule, the earth would be about 155,000 water drops.