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Answer :
To determine the number of moles of sulfur dioxide ([tex]\(SO_2\)[/tex]), we follow these steps:
1. First, calculate the molar mass of [tex]\(SO_2\)[/tex]. The molar mass is the sum of the atomic masses of its constituent atoms. Sulfur ([tex]\(S\)[/tex]) has an atomic mass of approximately [tex]\(32.06 \, \text{g/mol}\)[/tex] and oxygen ([tex]\(O\)[/tex]) has an atomic mass of approximately [tex]\(16.00 \, \text{g/mol}\)[/tex]. Since there are two oxygen atoms, we have:
[tex]$$
\text{Molar mass of } SO_2 = 32.06 + 2(16.00) = 32.06 + 32.00 = 64.06 \, \text{g/mol}.
$$[/tex]
2. Next, use the formula for the number of moles:
[tex]$$
\text{Moles} = \frac{\text{Mass}}{\text{Molar mass}}.
$$[/tex]
Given the mass is [tex]\(151 \, \text{g}\)[/tex], substitute the values:
[tex]$$
\text{Moles of } SO_2 = \frac{151}{64.06} \approx 2.357 \, \text{mol}.
$$[/tex]
Thus, [tex]\(151\)[/tex] grams of [tex]\(SO_2\)[/tex] is equal to approximately:
[tex]$$
\boxed{2.357}
$$[/tex]
moles when expressed to three significant figures.
1. First, calculate the molar mass of [tex]\(SO_2\)[/tex]. The molar mass is the sum of the atomic masses of its constituent atoms. Sulfur ([tex]\(S\)[/tex]) has an atomic mass of approximately [tex]\(32.06 \, \text{g/mol}\)[/tex] and oxygen ([tex]\(O\)[/tex]) has an atomic mass of approximately [tex]\(16.00 \, \text{g/mol}\)[/tex]. Since there are two oxygen atoms, we have:
[tex]$$
\text{Molar mass of } SO_2 = 32.06 + 2(16.00) = 32.06 + 32.00 = 64.06 \, \text{g/mol}.
$$[/tex]
2. Next, use the formula for the number of moles:
[tex]$$
\text{Moles} = \frac{\text{Mass}}{\text{Molar mass}}.
$$[/tex]
Given the mass is [tex]\(151 \, \text{g}\)[/tex], substitute the values:
[tex]$$
\text{Moles of } SO_2 = \frac{151}{64.06} \approx 2.357 \, \text{mol}.
$$[/tex]
Thus, [tex]\(151\)[/tex] grams of [tex]\(SO_2\)[/tex] is equal to approximately:
[tex]$$
\boxed{2.357}
$$[/tex]
moles when expressed to three significant figures.
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