To determine the molar mass of aluminum oxide (Al₂O₃), you need to consider the atomic masses of aluminum (Al) and oxygen (O).
1. Atomic Masses:
- The atomic mass of aluminum (Al) is 26.98 grams per mole.
- The atomic mass of oxygen (O) is 16.00 grams per mole.
2. Formula of Aluminum Oxide:
- The chemical formula for aluminum oxide is Al₂O₃.
3. Count the Atoms:
- There are 2 aluminum atoms in each molecule of aluminum oxide.
- There are 3 oxygen atoms in each molecule of aluminum oxide.
4. Calculate the Molar Mass:
- Multiply the number of aluminum atoms by the atomic mass of aluminum:
[tex]\[ 2 \times 26.98 \,\text{g/mol} = 53.96 \,\text{g/mol} \][/tex]
- Multiply the number of oxygen atoms by the atomic mass of oxygen:
[tex]\[ 3 \times 16.00 \,\text{g/mol} = 48.00 \,\text{g/mol} \][/tex]
- Add these two values together to find the total molar mass of aluminum oxide:
[tex]\[ 53.96 \,\text{g/mol} + 48.00 \,\text{g/mol} = 101.96 \,\text{g/mol} \][/tex]
5. Final Answer:
- The molar mass of aluminum oxide (Al₂O₃) is 101.96 grams per mole, expressed to four significant figures.
So, the molar mass of [tex]\( \text{Al}_2\text{O}_3 \)[/tex] is [tex]\( 101.96 \)[/tex] grams.
