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Sarah measures out 151 grams of [tex]$SO_2$[/tex]. How many moles is this? Express your answer to three significant figures.

151 grams of [tex]$SO_2$[/tex] is equal to [tex]\square[/tex] moles.

Answer :

Alright, let's work through the problem step-by-step.

1. Identify the given information:
- Mass of [tex]\( SO_2 \)[/tex] (sulfur dioxide): 151 grams
- Molar mass of [tex]\( SO_2 \)[/tex]: 64.066 grams/mole

2. Recall the formula for calculating moles:
[tex]\[
\text{Number of moles} = \frac{\text{Mass (in grams)}}{\text{Molar mass (grams/mole)}}
\][/tex]

3. Substitute the given values into the formula:
[tex]\[
\text{Number of moles of } SO_2 = \frac{151 \, \text{grams}}{64.066 \, \text{grams/mole}}
\][/tex]

4. Calculate the value (typically, we would divide 151 by 64.066). The exact calculation here is:
[tex]\[
\frac{151}{64.066} \approx 2.3569444010863796
\][/tex]

5. Round the result to three significant figures:
[tex]\[
\text{Rounded number of moles} = 2.357
\][/tex]

Therefore, 151 grams of [tex]\( SO_2 \)[/tex] is equal to [tex]\( 2.357 \)[/tex] moles.

So, the answer is:
151 grams of [tex]\( SO_2 \)[/tex] is equal to [tex]\( \boxed{2.357} \)[/tex] moles.

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