To solve this lets do a rule of three to find the number of mols there is in a 5.40 pound bag of sugar.
[tex]\begin{gathered} 1\text{ pound }\rightarrow453.6g \\ 5.40\text{ pounds }\rightarrow\text{ m} \\ m=453.6\times5.40 \\ m=2,449.44g \end{gathered}[/tex]Now we can evaluate the number of molecules. We write:
[tex]\begin{gathered} 342.30g\rightarrow1mol\rightarrow6.02\times10^{23}molecules \\ 2,449.44g\rightarrow\rightarrow\rightarrow\rightarrow n \\ n=6.02\times10^{23}\times2,449.44 \\ n\approx\text{ 14,745.}63\times10^{23} \\ n\approx1.47\times10^{27}molecules \end{gathered}[/tex]Answer: the number of molecules in a 5.40 pound bag of sugar is 1.47 x 10^(27).
