what is the mass of aluminum? d= 4.05 g/cm3
Chemistry

Tutor: None Selected  Time limit: 1 Day 
in a facecentered cubic unit cell, aluminum is crystallized. the density of aluminum is 4.05 g/cm3. what is the mass, g of aluminum in the unit cell?
Thank you for the opportunity to help you with your question!
http://genchem1.chem.okstate.edu/1515F01/ProblemSet/1515F01PS3Ans.pdf
http://chemed.chem.purdue.edu/genchem/topicreview/bp/ch13/unitcell.php
please use the links above to get more knowledge
From the website above we know that there are 8 Al atoms in every unit cell.
So to find the mass of Al in the unit cell, we need to find the mass of an Al atom (in grams) and multiply it by eight.
1 atom x (27.0 g / 6.02 x 10^{23} atoms = mass of 1 Al atom in grams
Then, since there are 8 atoms in a face centered unit cell:
8 atoms x (mass of 1 Al atom in grams) = mass of Al atoms in one unit cell
Since we know the density of aluminum and we know the mass of a unit
cell, we can calculate the volume of the unit cell using the density
formula:
Density = mass/ volume
4.16 g = mass of Al atoms in a unit cell / volume in cm^{3}
I am still doing the calculations I will supplement the answer
Secure Information
Content will be erased after question is completed.