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 the number of moles of [tex]\( SO_2 \)[/tex] in 151 grams, we'll use the formula:

[tex]\[
\text{Moles} = \frac{\text{Mass in grams}}{\text{Molar Mass}}
\][/tex]

1. Determine the Molar Mass of [tex]\( SO_2 \)[/tex]:

- The atomic mass of sulfur (S) is approximately 32.07 g/mol.
- The atomic mass of oxygen (O) is approximately 16.00 g/mol.

Since [tex]\( SO_2 \)[/tex] consists of one sulfur atom and two oxygen atoms, we calculate the molar mass as follows:

[tex]\[
\text{Molar Mass of } SO_2 = 32.07 \, \text{g/mol} + 2 \times 16.00 \, \text{g/mol} = 64.07 \, \text{g/mol}
\][/tex]

2. Calculate the Moles of [tex]\( SO_2 \)[/tex]:

Now, use the formula to find the number of moles:

[tex]\[
\text{Moles of } SO_2 = \frac{151 \, \text{grams}}{64.07 \, \text{g/mol}}
\][/tex]

3. Calculate and Express the Answer:

Performing the division gives us approximately 2.357 moles.

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