How many molecules of carbon dioxide exit your lungs when you exhale #5.00 xx 10^2# mol of carbon dioxide, #"CO"_2# ?

1 Answer
Mar 4, 2017

Answer:

#3.01 * 10^(26)"molecules CO"_2#

Explanation:

Your tool of choice here is Avogadro's constant, which essentially acts as the definition of a mole

#color(blue)(ul(color(black)("1 mole CO"_2 = 6.022 * 10^(23)color(white)(.)"molecules CO"_2))) -># Avogadro's constant

So, a mole is essentially a group of things. In this case, a mole of carbon dioxide will contain #6.022 * 10^(23)# molecules of carbon dioxide. In other words, in order to have #1# mole of carbon dioxide, you need to have #6.022 * 10^(23)# molecules of carbon dioxide.

You know that #5.00 * 10^(2)# molecules of carbon dioxide are exhaled from the lungs when we breathe out. You can use Avogadro's constant as a conversion factor to help you figure out how many molecules are present

#5.00 * 10^2 color(red)(cancel(color(black)("moles CO"_2))) * (6.022 * 10^(23)color(white)(.)"molecules CO"_2)/(1color(red)(cancel(color(black)("mole CO"_2))))#

#= color(darkgreen)(ul(color(black)(3.01 * 10^(26)color(white)(.)"molecules CO"_2)))#

The answer is rounded to three sig figs.