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.
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.
