One day the god of the ocean, Poseidon, decided to do an experiment where he gathered all of the Earths water into a ball. Meanwhile, Apollo was driving the sun across the sky with his chariot and forgot to contribute the water in his 0.5L water skin to the project. Being a trickster, Apollo marked all of the water molecules in his water skin with the light of the sun so he could see which ones had been his. After several years, Apollo was thirsty and filled his original water skin with water from the ball.

If

A) the total volume of water on Earth is 1.386G cubic kilometers (assuming a density of 1 g/cm3);

B) the shiny molecules are distributed evenly throughout the total volume;

C) there was no evaporation; 4) there was no autodeprotinoation, then find

How many of water molecules are there on Earth? (be reasonable about sig. figs.)

How many of water molecules are in the original water skin?

How many of water molecules from his original water skin are now in his new water skin?

What volume of water would Apollo have to scoop up to get back one water molecule from his original water skin (on average)?

In the last 50,000 years there have been ~100 billion Homo sapiens and each of them drank ~4L of water a day and lived on average 30 years. Has human kind "recycled" the total volume of water on Earth yet? Support your answer with