Answer :
To find out how many moles of [tex]\( SO_2 \)[/tex] are in 151 grams, we need to use the concept of molar mass.
Step 1: Determine the molar mass of [tex]\( SO_2 \)[/tex].
- Sulfur (S) has a molar mass of approximately 32.07 grams per mole.
- Oxygen (O) has a molar mass of approximately 16.00 grams per mole, and there are two oxygen atoms in [tex]\( SO_2 \)[/tex].
Calculate the molar mass of [tex]\( SO_2 \)[/tex]:
[tex]\[
\text{Molar mass of } SO_2 = 32.07 \, \text{g/mol (for S)} + 2 \times 16.00 \, \text{g/mol (for O)} = 64.07 \, \text{g/mol}
\][/tex]
Step 2: Calculate the number of moles of [tex]\( SO_2 \)[/tex].
Now, we use the formula:
[tex]\[
\text{Moles of } SO_2 = \frac{\text{Mass of } SO_2}{\text{Molar mass of } SO_2}
\][/tex]
Substitute the given values:
[tex]\[
\text{Moles of } SO_2 = \frac{151 \, \text{g}}{64.07 \, \text{g/mol}} \approx 2.357 \, \text{moles}
\][/tex]
Therefore, 151 grams of [tex]\( SO_2 \)[/tex] is equal to approximately 2.357 moles.
Step 1: Determine the molar mass of [tex]\( SO_2 \)[/tex].
- Sulfur (S) has a molar mass of approximately 32.07 grams per mole.
- Oxygen (O) has a molar mass of approximately 16.00 grams per mole, and there are two oxygen atoms in [tex]\( SO_2 \)[/tex].
Calculate the molar mass of [tex]\( SO_2 \)[/tex]:
[tex]\[
\text{Molar mass of } SO_2 = 32.07 \, \text{g/mol (for S)} + 2 \times 16.00 \, \text{g/mol (for O)} = 64.07 \, \text{g/mol}
\][/tex]
Step 2: Calculate the number of moles of [tex]\( SO_2 \)[/tex].
Now, we use the formula:
[tex]\[
\text{Moles of } SO_2 = \frac{\text{Mass of } SO_2}{\text{Molar mass of } SO_2}
\][/tex]
Substitute the given values:
[tex]\[
\text{Moles of } SO_2 = \frac{151 \, \text{g}}{64.07 \, \text{g/mol}} \approx 2.357 \, \text{moles}
\][/tex]
Therefore, 151 grams of [tex]\( SO_2 \)[/tex] is equal to approximately 2.357 moles.
