High School

Type the correct answer in the box.

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 of [tex]\( \text{SO}_2 \)[/tex] are in 151 grams, we can use the following steps:

1. Determine the Molar Mass of [tex]\( \text{SO}_2 \)[/tex]:
- The molar mass is the mass of one mole of a substance. For [tex]\( \text{SO}_2 \)[/tex], it is composed of one sulfur (S) atom and two oxygen (O) atoms.
- The atomic mass of sulfur (S) is approximately 32.07 g/mol.
- The atomic mass of oxygen (O) is approximately 16.00 g/mol.
- Therefore, the molar mass of [tex]\( \text{SO}_2 \)[/tex] is calculated by adding the mass of sulfur and twice the mass of oxygen:
[tex]\[
\text{Molar mass of } \text{SO}_2 = 32.07 + 2 \times 16.00 = 64.07 \, \text{g/mol}
\][/tex]

2. Calculate the Number of Moles:
- To find the number of moles, use the formula:
[tex]\[
\text{Moles} = \frac{\text{Mass in grams}}{\text{Molar mass}}
\][/tex]
- Substitute the values:
[tex]\[
\text{Moles of } \text{SO}_2 = \frac{151}{64.07} \approx 2.357
\][/tex]

3. Express the Answer to Three Significant Figures:
- The result of the calculation is approximately 2.3567972530045265 moles.
- Rounded to three significant figures, this is [tex]\( 2.357 \)[/tex] moles.

Therefore, 151 grams of [tex]\( \text{SO}_2 \)[/tex] is equal to approximately 2.357 moles.

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