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Given: Type of unit cell is ccp.
Edge length (a) = 353.6 pm = 3.536 x 10-8 cm = = Volume (V) of Al = 1.00 cm3 =
To find:
1. Radius of Al atom (r)
2. Number of unit cells in 1.00 cm3 of Al
Formulae:
1. For ccp (fcc) unit cell, r = 0.3535 a
2. Number of unit cells in volume (V) of metal =
V
Calculation:
1. Using formula (i),
r = 0.3535 a
.. r = 0.3535 x 353.6 = 125 pm
2. Using formula (ii),
Number of unit cells in volume (V) of metal =
V
a3
.. I Number of unit cells in 1.00 cm3 of AI =
1.00
3 (3.536 x 10-8)*
2.26 x 10^22
1. Radius of Al atom (r) is 125 pm.
2. Number of unit cells in 1.00 cm3 of Al is 2.26
10^22
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