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Sarah measures out 151 grams of SO[tex]\(_2\)[/tex]. How many moles is this? Express your answer to three significant figures.

151 grams of SO[tex]\(_2\)[/tex] is equal to ______ moles.

Answer :

Sure! Let's find out how many moles are in 151 grams of SOâ‚‚.

1. Identify the molecular formula: The molecular formula of sulfur dioxide is SOâ‚‚, which consists of 1 sulfur atom and 2 oxygen atoms.

2. Calculate the molar mass of SOâ‚‚:
- The atomic mass of sulfur (S) is approximately 32.06 g/mol.
- The atomic mass of oxygen (O) is approximately 16.00 g/mol.
- Since there are 2 oxygen atoms, the total mass contributed by oxygen is [tex]\( 2 \times 16.00 = 32.00 \)[/tex] g/mol.
- Therefore, the molar mass of SOâ‚‚ is [tex]\( 32.06 + 32.00 = 64.06 \)[/tex] g/mol.

3. Determine the number of moles:
- Use the formula:
[tex]\[
\text{moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}}
\][/tex]
- Substituting the given values:
[tex]\[
\text{moles of SOâ‚‚} = \frac{151}{64.06} \approx 2.357
\][/tex]
- Rounding to three significant figures, we get approximately 2.357 moles.

So, 151 grams of SOâ‚‚ is equal to 2.357 moles.

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