College

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 :

To find out how many moles 151 grams of [tex]\(SO_2\)[/tex] is equivalent to, follow these steps:

1. Determine the molar mass of [tex]\(SO_2\)[/tex]:
- Sulfur (S) has an atomic mass of approximately 32.07 grams per mole.
- Oxygen (O) has an atomic mass of approximately 16.00 grams per mole. Since there are two oxygens in [tex]\(SO_2\)[/tex], multiply by 2.
- Molar mass of [tex]\(SO_2 = 32.07 + (16.00 \times 2) = 64.07\)[/tex] grams per mole.

2. Use the formula for moles:
[tex]\[
\text{Moles of } SO_2 = \frac{\text{Mass of } SO_2}{\text{Molar mass of } SO_2}
\][/tex]

3. Plug in the values:
[tex]\[
\text{Moles of } SO_2 = \frac{151}{64.07}
\][/tex]

4. Calculate:
- Perform the division to find the number of moles.

5. Round to three significant figures:
- The result is approximately 2.357.

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

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