Question #e980d
1 Answer
Explanation:
The relationship between number of moles and number of molecules is given by Avogadro's constant, which essentially acts as the definition of the mole
color(blue)(ul(color(black)("1 mole" = 6.022 * 10^(23)"molecules")))
So, you know that you need to have exactly
The problem provides you with a sample of
454,000,000 = 4.54 * 10^8
molecules of carbon dioxide, so use Avogadro's constant as a conversion factor to convert the number of molecules to number of moles
4.54 * 10^9 color(red)(cancel(color(black)("molecules CO"_2))) * "1 mole CO"_2/(6.022 * 10^(23)color(red)(cancel(color(black)("molecules CO"_2))))
= color(darkgreen)(ul(color(black)(7.54 * 10^(-15)"moles CO"_2)))
The answer is rounded to three sig figs, the number of sig figs you have for the number of molecules of carbon dioxide.
