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Calcium Crystallizes in a cubic unit cell with density 3.2g/cc. Edge length of the unit cell is 437 pm. If the metal is melted, density of the molten metal was found to be 3g/cc. What will be the percentage of empty space in the melt?

Calcium Crystallizes in a cubic unit cell with density 3.2g/cc. Edge length of the unit cell is 437 pm. If the metal is melted, density of the molten metal was found to be 3g/cc. What will be the percentage of empty space in the melt?

Grade:12th pass

3 Answers

Yugank Sharma
14 Points
5 years ago
Firstly by solving in solid state we will get Z=4 which means the lattice is FCC.
Now when the metal melts by keeping the values in the density formula we can calculate the value of Z/a^3 and putting this in the formula for packing efficiency keeping the radius same as for solid state we can get the %occupied state. Subtarcting it from 100 we get our required answer.
 
Sahil
13 Points
4 years ago
Here M=3.2V
 THEN 
3=3.2V/Vf
 
Vf=1.066V
Then we know that 0.74 occupied space 
So ,0.74/1.066=69%
100-69=31% ✓✓✓✓✓
 
Vikas TU
14149 Points
4 years ago
Dear stuent 
The ans of sahil is correct , 
Hope this will clear your doubt. 
Good Luck …...............
Cheers 

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