Counting # of atoms don't match in rounding? The total number of atoms contain in 1.0L as 1000g of liquid water must equal the total number of atoms contained in a gas released by 1000g of liquid water.
A mole of water molecules contains 2 moles of hydrogen atoms and 1 mole of oxygen atoms. Avogadro's number is 6.023×10^23 molecules/mole.
One mole of water =6.023×10^23 molecules of water.
1 molecule of water = 3 atoms of water. One mole of water =3×6.023×10^23=1.807×10^24 atoms. Now
Atomic mass of H2O = 16 + 2 = 18g/moles Number of moles = Mass Given/(Atomic Mass) or Molecular Mass
Number of moles = 1000g/18
Number of moles = 55.556
55.56 moles of water as liquid = 55.56 x 3×6.023×10^23 = 1.0039x10^26
"Total number of atoms = 1.0039x10^26 "
The mass of 1.0L as 1000g or 55.56 moles of water produces 1866 L of gas (1244L of H2 and 622L of O2).
Number of moles of hydrogen = 1244/22.4 = 55.54
Number of moles of oxygen = 622/22.4= 27.76
Atoms contain in 55.54 moles of hydrogen = 55.56 x 6.023×10^23= 3.346x10^25
Atoms contain in 2x 55.54 moles of hydrogen = 2x55.56 x 6.023×10^23= 6.69x10^25
Atoms contain in 27.76 moles of oxygen = 27.76 x 6.023×10^23=1.67x10^25
"Total number of atoms = 8.36 x10^25 "
Where did I make the error in rounding?
i didn't mention STP but it was presumed