To determine how many moles of argon are in 32.4 grams of argon, we'll use the concept of molar mass.
1. Identify the given data:
- Mass of argon ([tex]\(m\)[/tex]): 32.4 grams
- Molar mass of argon ([tex]\(M\)[/tex]): 39.948 g/mol
2. Recall the formula for converting mass to moles:
[tex]\[
\text{Number of moles} = \frac{\text{Mass of substance}}{\text{Molar mass of substance}}
\][/tex]
3. Substitute the given values into the formula:
- Mass of argon ([tex]\(m\)[/tex]): 32.4 grams
- Molar mass of argon ([tex]\(M\)[/tex]): 39.948 g/mol
[tex]\[
\text{Number of moles of argon} = \frac{32.4 \, \text{g}}{39.948 \, \text{g/mol}}
\][/tex]
4. Calculate the number of moles:
[tex]\[
\text{Number of moles of argon} \approx 0.811
\][/tex]
Thus, there are approximately 0.811 moles of argon in 32.4 grams of argon.
Therefore:
[tex]\[ 32.4 \text{ g} = 0.811 \text{ mol} \][/tex]
