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Sarah measures out 151 grams of SO₂. How many moles is this? Express your answer to three significant figures.

151 grams of SO₂ is equal to __________ moles.

Answer :

To determine the number of moles of sulfur dioxide ([tex]\( \text{SO}_2 \)[/tex]) in 151 grams, follow these steps:

1. Calculate the molar mass of [tex]\(\text{SO}_2\)[/tex]. The molar mass is the sum of the atomic masses of all the atoms in the molecule. For [tex]\(\text{SO}_2\)[/tex]:
- The atomic mass of sulfur (S) is [tex]\(32.06 \, \text{g/mol}\)[/tex].
- The atomic mass of oxygen (O) is [tex]\(16.00 \, \text{g/mol}\)[/tex], and there are two oxygen atoms.

Thus, the molar mass is:
[tex]$$
M_{\text{SO}_2} = 32.06 \, \text{g/mol} + 2 \times 16.00 \, \text{g/mol} = 32.06 \, \text{g/mol} + 32.00 \, \text{g/mol} = 64.06 \, \text{g/mol}
$$[/tex]

2. Use the formula for moles:
[tex]$$
\text{moles} = \frac{\text{mass}}{\text{molar mass}}
$$[/tex]

Substituting the values:
[tex]$$
\text{moles} = \frac{151 \, \text{g}}{64.06 \, \text{g/mol}} \approx 2.357 \, \text{mol}
$$[/tex]

3. Round the result to three significant figures:
[tex]$$
2.357 \, \text{mol} \approx 2.36 \, \text{mol}
$$[/tex]

Therefore, 151 grams of [tex]\(\text{SO}_2\)[/tex] is equal to:

[tex]$$
\boxed{2.36 \, \text{moles}}
$$[/tex]

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