Given 284.82 g of [tex]$SF_6$[/tex], determine the number of moles of [tex]$SF_6$[/tex].

[tex]
\begin{array}{l}
1 \text{ mol } SF_6 = 146.06 \text{ g } SF_6 \\
\text{[?] mol } SF_6
\end{array}
[/tex]

Round your answer to the hundredth place.



Answer :

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.