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Answer :
To find the number of moles of [tex]\( SO_2 \)[/tex] in 151 grams, we'll use the formula:
[tex]\[
\text{Moles} = \frac{\text{Mass in grams}}{\text{Molar Mass}}
\][/tex]
1. Determine the Molar Mass of [tex]\( SO_2 \)[/tex]:
- The atomic mass of sulfur (S) is approximately 32.07 g/mol.
- The atomic mass of oxygen (O) is approximately 16.00 g/mol.
Since [tex]\( SO_2 \)[/tex] consists of one sulfur atom and two oxygen atoms, we calculate the molar mass as follows:
[tex]\[
\text{Molar Mass of } SO_2 = 32.07 \, \text{g/mol} + 2 \times 16.00 \, \text{g/mol} = 64.07 \, \text{g/mol}
\][/tex]
2. Calculate the Moles of [tex]\( SO_2 \)[/tex]:
Now, use the formula to find the number of moles:
[tex]\[
\text{Moles of } SO_2 = \frac{151 \, \text{grams}}{64.07 \, \text{g/mol}}
\][/tex]
3. Calculate and Express the Answer:
Performing the division gives us approximately 2.357 moles.
Therefore, 151 grams of [tex]\( SO_2 \)[/tex] is equal to 2.357 moles.
[tex]\[
\text{Moles} = \frac{\text{Mass in grams}}{\text{Molar Mass}}
\][/tex]
1. Determine the Molar Mass of [tex]\( SO_2 \)[/tex]:
- The atomic mass of sulfur (S) is approximately 32.07 g/mol.
- The atomic mass of oxygen (O) is approximately 16.00 g/mol.
Since [tex]\( SO_2 \)[/tex] consists of one sulfur atom and two oxygen atoms, we calculate the molar mass as follows:
[tex]\[
\text{Molar Mass of } SO_2 = 32.07 \, \text{g/mol} + 2 \times 16.00 \, \text{g/mol} = 64.07 \, \text{g/mol}
\][/tex]
2. Calculate the Moles of [tex]\( SO_2 \)[/tex]:
Now, use the formula to find the number of moles:
[tex]\[
\text{Moles of } SO_2 = \frac{151 \, \text{grams}}{64.07 \, \text{g/mol}}
\][/tex]
3. Calculate and Express the Answer:
Performing the division gives us approximately 2.357 moles.
Therefore, 151 grams of [tex]\( SO_2 \)[/tex] is equal to 2.357 moles.
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