Question

Sucrose (table sugar) has a molar mass of 342.30 g/mole. How many sucrose molecules are in a 5.40-pound bag of sugar? (1 pound=453.6 grams.)

Answer 1

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.

`\begin{gathered} 1\text{ pound }\rightarrow453.6g \\ 5.40\text{ pounds }\rightarrow\text{ m} \\ m=453.6*5.40 \\ m=2,449.44g \end{gathered}`

Now we can evaluate the number of molecules. We write:

`\begin{gathered} 342.30g\rightarrow1mol\rightarrow6.02*10^(23)molecules \\ 2,449.44g\rightarrow\rightarrow\rightarrow\rightarrow n \\ n=6.02*10^(23)*2,449.44 \\ n\approx\text{ 14,745.}63*10^(23) \\ n\approx1.47*10^(27)molecules \end{gathered}`

Answer: the number of molecules in a 5.40 pound bag of sugar is 1.47 x 10^(27).