Imagine you can take all the atoms in a single drop of water and put them on a single line as closely packed as they can be. How long would that line be in meters? There is approximately 1022 atoms in a droplet of water. A. 1012 meters which is bigger than the distance between Sun and Earth. B. 1020 meters, the size of a galaxy. C. 103 meters, this is one kilometer. D. 107 meters which is about the circumference of the Earth.

Question

Physics

Adriana Kirk

2 April, 17:27

Imagine you can take all the atoms in a single drop of water and put them on a single line as closely packed as they can be. How long would that line be in meters? There is approximately 1022 atoms in a droplet of water. A. 1012 meters which is bigger than the distance between Sun and Earth. B. 1020 meters, the size of a galaxy. C. 103 meters, this is one kilometer. D. 107 meters which is about the circumference of the Earth.

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Answers (1)

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Lilianna Zuniga · Answer 1

A. 10^12 meters which is bigger than the distance between Sun and Earth

Explanation:

In a case where we take all the atoms in a single drop of water and put them on a single line as closely packed as they can be, the total length of the line would be a function of the diameter of an atom.

Total length L = Diameter of an atom d * number of atom in a droplet of water N

L = dN

N = 10^22

d ~ = 0.1nm = 10^-10m

L = 10^22 * 10^-10 m

L = 10^12 m

So, the length would be approximately 10^12 m

distance between the sun and earth is 147.34million km

D = 1.47 * 10^11 m

L > D

Therefore, the length would be approximately 10^12 m

Which is greater than the distance between the earth and the sun.