2. The mass of one mole of sugar is [tex]\(342 \text{ g}\)[/tex]. You used [tex]\(19 \text{ g}\)[/tex] of sugar. Calculate the number of moles of sugar you used.
To determine the number of moles of sugar used, we need to use the formula for calculating moles:
[tex]\[ \text{Number of moles} = \frac{\text{Mass of the substance used}}{\text{Molar mass of the substance}} \][/tex]
Given the data:
- The molar mass of sugar (sucrose) is [tex]\(342 \text{ g/mol}\)[/tex].
- The mass of sugar used is [tex]\(19 \text{ g}\)[/tex].
We can substitute these values into the formula:
[tex]\[ \text{Number of moles} = \frac{19 \text{ g}}{342 \text{ g/mol}} \][/tex]
Perform the division:
[tex]\[ \text{Number of moles} \approx 0.05555555555555555 \][/tex]
Therefore, the number of moles of sugar used is approximately [tex]\(0.056 \text{ moles}\)[/tex] (rounded to three significant figures).