To find the number of moles of sulfur hexafluoride ([tex]\(SF_6\)[/tex]) given its mass, you should follow these steps:
1. Identify the given values:
- The mass of [tex]\(SF_6\)[/tex] is 284.82 grams.
- Molar mass of [tex]\(SF_6\)[/tex] is [tex]\(146.06 \, \text{grams per mole}\)[/tex].
2. Determine the formula to calculate moles:
The number of moles of a substance can be found using the formula:
[tex]\[
\text{{moles}} = \frac{{\text{{mass}}}}{{\text{{molar mass}}}}
\][/tex]
3. Plug in the values to the formula:
[tex]\[
\text{{moles of }} SF_6 = \frac{{284.82 \, \text{{g}}}}{{146.06 \, \text{{g/mol}}}}
\][/tex]
4. Perform the division:
[tex]\[
\text{{moles of }} SF_6 \approx 1.9500205395043133
\][/tex]
5. Round the result to the hundredth place:
[tex]\[
\text{{moles of }} SF_6 \approx 1.95
\][/tex]
So, the number of moles of [tex]\(SF_6\)[/tex] in 284.82 grams of [tex]\(SF_6\)[/tex] is approximately 1.95 moles, rounded to the hundredth place.
