Could we have a google of any items on our planet?


Mass of Earth in grams  = 5.9763 x 1027 grams.

Avogadro's number = 6.02252 x 1023 grams/mole

 Avogadro's number is the number of molecules in one mole of a substance.

 Hydrogen, the smallest molecule, has an atomic weight of about 1.0079 which means that 6.02252 x 1023 molecules of hydrogen will have a weight of 1.0079 grams. 

 Therefore, if the earth was completely made of hydrogen, the smallest element, the earth would contain :

 5.9763 x 1027 grams with 1.0079 grams per mole or 5.929457287 x 1027 moles of hydrogen.

 Since each mole of hydrogen contains 6.02252 x 1023 molecules, if we multiply :  

(6.02252 x 1023 molecules/mole)( 5.929457287 x 1027 moles/earth)

 we get 35.7102751 x 10(23 + 27) molecules, or 35.7102751 x 1050 molecules. 

 Or in proper scientific notation: 3.57102751 x 1051 molecules.

 Since a google is 1 x 10100 we are not even close.

 If we divide a google by the number of hydrogen molecules that could make up the earth's mass we get the following:

1 x 10100 molecules divided by 3.57102751 x 1051 molecules/earth = 0.280031446 x 10(100-51) or 0.280031446 x 1049 or in proper scientific notation, 2.80031446 x 1048  earths made of hydrogen that would be needed to contain a google of hydrogen atoms.

The electron is a smaller particle which has a mass of 1/1837 of a hydrogen molecule, therefore 1837 times as many electrons would be needed to make up the total mass of the earth.

 If we divide 2.80031446 x 1048  earths by 1837 we find we would only need 1.52439546 x 1045 earth masses of electrons to have a google of electrons.

 If you could pile these earths made of electrons into a cube, you would need a cube with each side containing 1.150886641 x 1015 earth weight objects side by side.  Big cube!


Looked at another way, since we think that an electron has a diameter of about 1 x 10-12 cm, if we have a google of electrons piled up into a cube we would need to have about 2.1544346900318837217592935665194 x 1033 electrons in every direction.  Since each electron has a diameter of 1 x 10-12 cm a row of electrons that long would be 2.1544346900318837217592935665194 x 1021 cm which, since a centimeter is 1/100 of a meter, is

2.1544346900318837217592935665194 x 1019 meters which, since a meter is 1/1000 of a kilometer, is

2.1544346900318837217592935665194 x 1016 kilometers or 21544346900318837.217592935665194 kilometers, but, since there are 1.609344 kilometers in a mile, is

13387036519425826.434617419063416 miles, but, since a light year is 5.87851 x 1012 miles, is

2277.2839579120944651990757969988 light years on a side.

 Our closest star, not counting our sun, is about 4 light years away, so we would need to go about 569 times as far a our closest star for each side of our cube if we wanted have a box big enough to contain a google of electrons.

 The Milky Way galaxy is about 100,000 light years across.

 We are talking about a very large space to contain a google of tiny little electrons, let alone anything larger.

 I did this one time and have not checked this over again to make sure everything is correct, but it looks at least close.