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Answer :
Sure, let's go through the steps to find out how many moles are in 151 grams of [tex]\( \text{SO}_2 \)[/tex].
1. Identify the molar mass of [tex]\( \text{SO}_2 \)[/tex]:
- The molar mass of sulfur (S) is approximately 32.07 g/mol.
- The molar mass of oxygen (O) is approximately 16.00 g/mol.
Since [tex]\( \text{SO}_2 \)[/tex] has one sulfur atom and two oxygen atoms, its molar mass can be calculated as follows:
[tex]\[
\text{Molar mass of } \text{SO}_2 = 32.07 + (2 \times 16.00) = 64.07 \text{ g/mol}
\][/tex]
2. Use the given mass of [tex]\( \text{SO}_2 \)[/tex] to find the number of moles:
You have 151 grams of [tex]\( \text{SO}_2 \)[/tex]. To find the number of moles, use the formula:
[tex]\[
\text{Number of moles} = \frac{\text{Mass in grams}}{\text{Molar mass in g/mol}}
\][/tex]
3. Calculate the moles:
[tex]\[
\text{Number of moles} = \frac{151}{64.07} \approx 2.357
\][/tex]
Therefore, 151 grams of [tex]\( \text{SO}_2 \)[/tex] is equal to approximately 2.36 moles when expressed to three significant figures.
1. Identify the molar mass of [tex]\( \text{SO}_2 \)[/tex]:
- The molar mass of sulfur (S) is approximately 32.07 g/mol.
- The molar mass of oxygen (O) is approximately 16.00 g/mol.
Since [tex]\( \text{SO}_2 \)[/tex] has one sulfur atom and two oxygen atoms, its molar mass can be calculated as follows:
[tex]\[
\text{Molar mass of } \text{SO}_2 = 32.07 + (2 \times 16.00) = 64.07 \text{ g/mol}
\][/tex]
2. Use the given mass of [tex]\( \text{SO}_2 \)[/tex] to find the number of moles:
You have 151 grams of [tex]\( \text{SO}_2 \)[/tex]. To find the number of moles, use the formula:
[tex]\[
\text{Number of moles} = \frac{\text{Mass in grams}}{\text{Molar mass in g/mol}}
\][/tex]
3. Calculate the moles:
[tex]\[
\text{Number of moles} = \frac{151}{64.07} \approx 2.357
\][/tex]
Therefore, 151 grams of [tex]\( \text{SO}_2 \)[/tex] is equal to approximately 2.36 moles when expressed to three significant figures.
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