How to Determine the Number of Atoms in a Given Volume of Al2O3?

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SUMMARY

To determine the number of atoms in a given volume of Al2O3, first calculate the mass using the formula mass = density x volume, where the density of Al2O3 is 3.97 Mg/m³ and the volume is 25.45 mm³. After obtaining the mass, convert it to grams (1 Mg = 1000 g) and then use the molar mass of Al2O3, which is approximately 101.96 g/mol, to find the number of moles. Finally, multiply the number of moles by Avogadro's number (6.022 x 10²³) to find the total number of atoms for each element in the compound.

PREREQUISITES
  • Understanding of density and its calculation
  • Knowledge of molar mass and how to calculate it
  • Familiarity with Avogadro's number
  • Basic skills in unit conversion (Mg to g, mm³ to cm³)
NEXT STEPS
  • Learn about calculating molar mass for different compounds
  • Study unit conversion techniques in chemistry
  • Explore the concept of Avogadro's number and its applications
  • Investigate the relationship between density, mass, and volume in various materials
USEFUL FOR

Chemistry students, educators, and anyone involved in materials science or chemical engineering who needs to understand atomic calculations in compounds like Al2O3.

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Homework Statement


Given a volume of Al2O3, how many atoms of each element?


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The Attempt at a Solution

 
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I have the density of Al2O3 as 3.97 Mg/m3. The volume of the material is 25.45mm3. Since mass=density x volume, I can get the mass but don't know how to find the number of atoms from there.
 

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