Determination of the atomic radius of an Al atom

Click For Summary
SUMMARY

The atomic radius of an aluminum (Al) atom can be determined using the mass and dimensions of aluminum foil. Given the measurements of 10cm x 9.9cm x 0.0014cm and a mass of 0.40 grams, one can calculate the number of moles using the molar mass of aluminum, which is 26.98 g/mol. By determining the total number of Al atoms and the volume occupied by these atoms, the volume of each atom can be calculated. This volume can then be used to find the atomic radius by treating the atoms as cubic structures for simplification.

PREREQUISITES
  • Understanding of molar mass calculations
  • Basic knowledge of atomic structure and volume calculations
  • Familiarity with the concept of density
  • Ability to perform unit conversions
NEXT STEPS
  • Calculate the number of moles of aluminum from the given mass
  • Determine the total volume of the aluminum foil using its dimensions
  • Research the concept of atomic packing and how it relates to atomic volume
  • Learn about the geometric relationship between volume and radius for cubic structures
USEFUL FOR

Students in chemistry, materials science, and physics, as well as educators and anyone interested in understanding atomic dimensions and properties of aluminum.

dajugganaut
Messages
33
Reaction score
0
hi everyone,

im trying to find the atomic radius of an Al atom using a few measurements i have. i had a piece of aluminum foil its measurements were [ 10cm*9.9cm*0.0014cm ]. The mass of the aluminum foil was 0.40 grams. Is there any possible way i can find the radius of an Al atom? I know i might have to use the molar mass 26.98 g /mol somwhere, but i don't know where. If you could help me, that would be greatly appreciated!

thanks =)
 
Chemistry news on Phys.org
i was told that the atom is spherical, but for simpler purposes to pretend it as a cube. then i would "stack" the cubes to find the radius of it. so i found out how many mols of Al there were in 0.4 g. and then i found the # of molecules in 0.4g of Al [assuming that it is pure Al] i can't be exactly sure what to do next
 
From the number of Al atoms, and the total volume (from the dimensions) occupied by this many atoms, can't you find the volume of each atom ?
 
It would be helpful if he could imagine the structure of Al in terms of cubic atoms...After all,atoms are not spherical...This part could help you find the radius...It's half of the length of a side of a cube...

Daniel.
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 10 ·
Replies
10
Views
26K
Replies
1
Views
1K
Replies
2
Views
12K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
7
Views
2K