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Answer :
To find out how many moles are in 151 grams of [tex]\( \text{SO}_2 \)[/tex], we'll use the formula:
[tex]\[ \text{moles} = \frac{\text{mass of the substance (in grams)}}{\text{molar mass of the substance (in grams/mole)}} \][/tex]
1. Find the molar mass of [tex]\( \text{SO}_2 \)[/tex]:
- The molar mass of sulfur (S) is approximately 32.07 grams/mole.
- The molar mass of oxygen (O) is approximately 16.00 grams/mole.
- Since there are two oxygen atoms in [tex]\(\text{SO}_2\)[/tex], their total molar mass is [tex]\(2 \times 16.00 = 32.00\)[/tex] grams/mole.
- Adding the molar masses together gives the molar mass of [tex]\(\text{SO}_2\)[/tex]:
[tex]\[
32.07 + 32.00 = 64.07 \, \text{grams/mole}
\][/tex]
2. Calculate the number of moles of [tex]\( \text{SO}_2 \)[/tex]:
- Use the formula with the given mass of [tex]\(\text{SO}_2\)[/tex] which is 151 grams.
- Substitute the values into the formula:
[tex]\[
\text{moles of } \text{SO}_2 = \frac{151}{64.07} \approx 2.357
\][/tex]
So, 151 grams of [tex]\( \text{SO}_2 \)[/tex] is equal to approximately 2.357 moles when expressed to three significant figures.
[tex]\[ \text{moles} = \frac{\text{mass of the substance (in grams)}}{\text{molar mass of the substance (in grams/mole)}} \][/tex]
1. Find the molar mass of [tex]\( \text{SO}_2 \)[/tex]:
- The molar mass of sulfur (S) is approximately 32.07 grams/mole.
- The molar mass of oxygen (O) is approximately 16.00 grams/mole.
- Since there are two oxygen atoms in [tex]\(\text{SO}_2\)[/tex], their total molar mass is [tex]\(2 \times 16.00 = 32.00\)[/tex] grams/mole.
- Adding the molar masses together gives the molar mass of [tex]\(\text{SO}_2\)[/tex]:
[tex]\[
32.07 + 32.00 = 64.07 \, \text{grams/mole}
\][/tex]
2. Calculate the number of moles of [tex]\( \text{SO}_2 \)[/tex]:
- Use the formula with the given mass of [tex]\(\text{SO}_2\)[/tex] which is 151 grams.
- Substitute the values into the formula:
[tex]\[
\text{moles of } \text{SO}_2 = \frac{151}{64.07} \approx 2.357
\][/tex]
So, 151 grams of [tex]\( \text{SO}_2 \)[/tex] is equal to approximately 2.357 moles when expressed to three significant figures.
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