To determine the number of moles of aluminum in a given mass, follow these steps:
1. Identify the given values:
- The mass of aluminum is [tex]\( 54.96 \)[/tex] grams (g).
- The molar mass of aluminum is [tex]\( 26.98 \)[/tex] grams per mole (g/mol).
2. Recall the formula for calculating moles:
The number of moles ([tex]\( n \)[/tex]) can be determined using the formula:
[tex]\[
n = \frac{\text{mass}}{\text{molar mass}}
\][/tex]
where:
- [tex]\( \text{mass} \)[/tex] is the given mass of the substance in grams.
- [tex]\( \text{molar mass} \)[/tex] is the molar mass of the substance in grams per mole.
3. Substitute the given values into the formula:
- The mass is [tex]\( 54.96 \)[/tex] grams.
- The molar mass is [tex]\( 26.98 \)[/tex] g/mol.
[tex]\[
n = \frac{54.96 \text{ g}}{26.98 \text{ g/mol}}
\][/tex]
4. Calculate the number of moles:
[tex]\[
n = \frac{54.96}{26.98} \approx 2.0371
\][/tex]
Therefore, there are approximately [tex]\( 2.037 \)[/tex] moles of aluminum in [tex]\( 54.96 \)[/tex] grams of aluminum.
