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Answer :
To find the number of moles of sulfur dioxide ([tex]\(SO_2\)[/tex]) in 151 grams, we need to use the formula:
[tex]\[
\text{Number of moles} = \frac{\text{mass in grams}}{\text{molar mass in g/mol}}
\][/tex]
1. Identify the molar mass of [tex]\(SO_2\)[/tex]:
- Sulfur (S) has a molar mass of approximately 32.066 grams per mole.
- Oxygen (O) has a molar mass of about 15.999 grams per mole.
- Since [tex]\(SO_2\)[/tex] consists of one sulfur atom and two oxygen atoms, its molar mass is:
[tex]\[
32.066 + 2 \times 15.999 = 64.066 \text{ g/mol}
\][/tex]
2. Calculate the number of moles:
- Using the formula above, plug in the given mass and the calculated molar mass:
[tex]\[
\text{Number of moles} = \frac{151 \text{ g}}{64.066 \text{ g/mol}} \approx 2.357
\][/tex]
Therefore, 151 grams of [tex]\(SO_2\)[/tex] is equal to approximately 2.357 moles when expressed to three significant figures.
[tex]\[
\text{Number of moles} = \frac{\text{mass in grams}}{\text{molar mass in g/mol}}
\][/tex]
1. Identify the molar mass of [tex]\(SO_2\)[/tex]:
- Sulfur (S) has a molar mass of approximately 32.066 grams per mole.
- Oxygen (O) has a molar mass of about 15.999 grams per mole.
- Since [tex]\(SO_2\)[/tex] consists of one sulfur atom and two oxygen atoms, its molar mass is:
[tex]\[
32.066 + 2 \times 15.999 = 64.066 \text{ g/mol}
\][/tex]
2. Calculate the number of moles:
- Using the formula above, plug in the given mass and the calculated molar mass:
[tex]\[
\text{Number of moles} = \frac{151 \text{ g}}{64.066 \text{ g/mol}} \approx 2.357
\][/tex]
Therefore, 151 grams of [tex]\(SO_2\)[/tex] is equal to approximately 2.357 moles when expressed to three significant figures.
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