Yup:
10C=1 : (10^100)
1 kg-mole of water = 6x10^28 molecules and has a mass of (2x1)+16 kg=18kg (H2O)
1.6x10^71 kgmole
3x10^72kg
Assuming water is approximately 1000kg/m^3 denisty, this equates to a volume of
3x10^(72-3)cubic metres=3x10^69 cubic metres or 3x10^60 cubic km.
Volume of a sphere =4/3 pi r^3
thus the radius of a sphere of pure water that should have one atom is going to be cube_root((3x10^60)/((4/3)*pi))
=cube_root((10^60)*4/(9*pi)))=5x10^19 km
so this is equivalent to one molecule in a sphere of pure water with a radius of 5x10^19km
The Earth is about 150x10^9 km from the sun, so the sphere of water would have to have a radius of about 347 million times the orbital radius of the Earth.
One atom in a sphere with a radius that is 347 million times longer than the distance from the earth to the sun
(or according to google, over 5000 light years)
one molecule in a sphere of pure water 10000 light years in diameter
and that is only 10C...
-
Oh sorry, Father Dagon wanted the dilution for a litre of water, not a molecule...
10C=1 : (10^100)
1 kg-mole of water = 6x10^28 molecules and has a mass of (2x1)+16 kg=18kg (H2O)
1.6x10^71 kgmole
3x10^72kg
Assuming water is approximately 1000kg/m^3 denisty, this equates to a volume of
3x10^(72-3)cubic metres=3x10^69 cubic metres or 3x10^60 cubic km.
Volume of a sphere =4/3 pi r^3
thus the radius of a sphere of pure water that should have one atom is going to be cube_root((3x10^60)/((4/3)*pi))
=cube_root((10^60)*4/(9*pi)))=5x10^19 km
so this is equivalent to one molecule in a sphere of pure water with a radius of 5x10^19km
The Earth is about 150x10^9 km from the sun, so the sphere of water would have to have a radius of about 347 million times the orbital radius of the Earth.
One atom in a sphere with a radius that is 347 million times longer than the distance from the earth to the sun
(or according to google, over 5000 light years)
one molecule in a sphere of pure water 10000 light years in diameter
and that is only 10C...
-
Oh sorry, Father Dagon wanted the dilution for a litre of water, not a molecule...
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