How do I find the amount of atoms in 1 Liter H20?

2 Answers
Sep 12, 2017

For a start we ASSUME that the temperature is #25# #""^@C#, i.e. we gots LIQUID water......

Explanation:

We then work out the molar quantity....

#(1*Lxx10^3*g*L^-1)/(18.01*g*mol^-1)=55.52*mol#

What is the #mol#? This is Avogadro's number, and is equal to #6.02214xx10^23#; and this quantity of water MOLECULES has a mass of #18.01*g#.

But clearly there are THREE MOLES OF ATOMS (#2xxH+O#) per mole of water, and so we got.....

#166.57*mol# atoms......

And finally we multiply this molar quantity by Avogadro's number....

#166.57*molxx6.02214xx10^23*mol^-1=1.003xx10^26*"atoms"#.

Are you happy with this?

Here I have used the mole as I would any other collective number, 10, dozen, gross, etc. As a number, the mole is unfeasibly large.

Sep 12, 2017

Yes Answer is #1.10xx10^26# Atoms

Explanation:

The concept behind the question is " 1 Mole of water contains #6.023xx10^23# water molecules and 1 Mole of water weighs #18g# or #18ml# "

Now we are provided with 1 liter i.e, #1000ml#

Hence number of moles in 1 liter of water is #1000/18=55.55556 mols#

So that total number of molecules is given by #molsxx6.023xx10^23#= #55.55556xx6.023xx10^23#

Since every molecule of water ( #H_2O#) contains 3 atoms(1 oxygen and 2 hydrogen atoms) the total number of atoms in 1 liter
of water is given by #3xx55.55556xx6.023xx10^23#= #1.10xx10^26# Atoms
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