How do you convert #5.3 * 10^25# molecules of #CO_2# to moles?

1 Answer
Jun 23, 2016

There are 88 moles of #CO_2# in #5.3xx10^(25)# molecules of #CO_2#

Explanation:

In order to go from molecules of #CO_2# to moles of #CO_2#, we have to use the following relationship:slideplayer.com

I usually set up dimensional analysis questions like this:

Quantity sought = Quantity given x conversion factor

  • Quantity sought #rarr# mol #CO_2#
  • Quantity given #rarr# #5.3xx10^(25)# molecules
  • Conversion factor #rarr# #(1mol)/(6.02xx10^(23))#

Now we just plug the values into the format I have above (make sure your units cancel out as you are going through this process, that's how you know if you are doing the calculations correctly or not):

moles #CO_2# = #5.3xx10^(25)cancel "molecules" xx ##(1mol)/(6.02xx10^(23)cancel"molecules"#

moles #CO_2# = 88 mol