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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 find out how many moles are in 151 grams of SO2 (sulfur dioxide), we need to use the concept of molar mass. Here's how you can determine the number of moles:

1. Identify the molar mass of SO2:
- Sulfur (S) has an atomic mass of approximately 32.07 g/mol.
- Oxygen (O) has an atomic mass of approximately 16.00 g/mol.
- Since SO2 has one sulfur atom and two oxygen atoms, its molar mass is calculated as follows:
[tex]\[
\text{Molar mass of SO2} = 32.07 \, \text{g/mol} + (2 \times 16.00 \, \text{g/mol}) = 64.07 \, \text{g/mol}
\][/tex]

2. Use the molar mass to convert grams to moles:
- The formula to convert grams to moles is:
[tex]\[
\text{moles} = \frac{\text{grams}}{\text{molar mass}}
\][/tex]
- For 151 grams of SO2:
[tex]\[
\text{moles of SO2} = \frac{151 \, \text{grams}}{64.07 \, \text{g/mol}} \approx 2.3567972530045265
\][/tex]

3. Express the answer to three significant figures:
- When expressing to three significant figures, we round 2.3567972530045265 to 2.357.

Therefore, 151 grams of SO2 is equal to approximately 2.357 moles.

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