How many atoms are in 8.00 mol of #CO_2# molecules?

1 Answer
Nov 11, 2016

Answer:

#1.45 * 10^(25)"atoms"#

Explanation:

The idea here is that each molecule of carbon dioxide is made up of #3# atoms

  • one atom of carbon, #1 xx "C"#
  • two atoms of oxygen, #2 xx "O"#

This means that each mole of carbon dioxide will contain #3# moles of atoms.

  • one mole of carbon atoms, #1 xx "C"#
  • two moles of oxygen atoms, #2 xx "O"#

This, of course, implies that #8.00# moles of carbon dioxide molecules will contain

#8.00 color(red)(cancel(color(black)("moles CO"_2))) * "3 moles atoms"/(1color(red)(cancel(color(black)("mole CO"_2)))) = "24.0 moles atoms"#

Now all you have to do is convert the number of moles to number of atoms by using Avogadro's constant

#24.0 color(red)(cancel(color(black)("moles"))) * overbrace((6.022 * 10^(23)"atoms")/(1color(red)(cancel(color(black)("mole")))))^(color(blue)("Avogadro's constant")) = color(green)(bar(ul(|color(white)(a/a)color(black)(1.45 * 10^(25)"atoms")color(white)(a/a)|)))#

The answer is rounded to three sig figs.