How do you convert .4190 moles of oxygen difluoride to particles of oxygen difluoride?

1 Answer
Mar 17, 2017

You use Avogadro's constant!

Explanation:

You can go from moles of oxygen difluoride, #"OF"_2#, to molecules of oxygen difluoride by using Avogadro's constant.

Avogadro's constant is basically the definition of the mole. In this case, you know for a fact that in order to have #1# mole of oxygen difluoride, you need to have #6.022 * 10^(23)# molecules of oxygen difluoride in your sample.

Since your sample contains a little under #0.5 = 1/2# moles, you can expect to have a little under #1/2 * 6.022 * 10^(23)# molecules.

More specifically, your sample will contain

#0.4190 color(red)(cancel(color(black)("moles OF"_2))) * overbrace((6.022 * 10^(23)color(white)(.)"molecules OF"_2)/(1color(red)(cancel(color(black)("mole OF"_2)))))^(color(blue)("Avogadro's constant"))#

# = color(darkgreen)(ul(color(black)(2.523 * 10^(23)color(white)(.)"molecules OF"_2)))#

The answer is rounded to four sig figs, the number of sig figs you have for the number of moles of oxygen difluoride.