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Answer :
To find out how many moles are in 151 grams of sulfur dioxide [tex]\((SO_2)\)[/tex], follow these steps:
1. Calculate the Molar Mass of [tex]\(SO_2\)[/tex]:
- The molar mass is the sum of the atomic masses of all the atoms in a molecule.
- Sulfur (S) has an atomic mass of approximately 32.06 grams per mole.
- Oxygen (O) has an atomic mass of approximately 16.00 grams per mole.
- Since [tex]\(SO_2\)[/tex] has one sulfur atom and two oxygen atoms, the molar mass is calculated as follows:
[tex]\[
\text{Molar mass of } SO_2 = 32.06 + 2 \times 16.00 = 64.06 \text{ grams per mole}
\][/tex]
2. Calculate the Number of Moles:
- Use the formula to find the number of moles:
[tex]\[
\text{Moles of } SO_2 = \frac{\text{mass of } SO_2}{\text{molar mass of } SO_2}
\][/tex]
- Plug in the given mass and the calculated molar mass:
[tex]\[
\text{Moles of } SO_2 = \frac{151 \text{ grams}}{64.06 \text{ grams per mole}} \approx 2.357 \text{ moles}
\][/tex]
Therefore, 151 grams of [tex]\(SO_2\)[/tex] is equal to approximately 2.357 moles when rounded to three significant figures.
1. Calculate the Molar Mass of [tex]\(SO_2\)[/tex]:
- The molar mass is the sum of the atomic masses of all the atoms in a molecule.
- Sulfur (S) has an atomic mass of approximately 32.06 grams per mole.
- Oxygen (O) has an atomic mass of approximately 16.00 grams per mole.
- Since [tex]\(SO_2\)[/tex] has one sulfur atom and two oxygen atoms, the molar mass is calculated as follows:
[tex]\[
\text{Molar mass of } SO_2 = 32.06 + 2 \times 16.00 = 64.06 \text{ grams per mole}
\][/tex]
2. Calculate the Number of Moles:
- Use the formula to find the number of moles:
[tex]\[
\text{Moles of } SO_2 = \frac{\text{mass of } SO_2}{\text{molar mass of } SO_2}
\][/tex]
- Plug in the given mass and the calculated molar mass:
[tex]\[
\text{Moles of } SO_2 = \frac{151 \text{ grams}}{64.06 \text{ grams per mole}} \approx 2.357 \text{ moles}
\][/tex]
Therefore, 151 grams of [tex]\(SO_2\)[/tex] is equal to approximately 2.357 moles when rounded to three significant figures.
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