how many unit cells are there in 1.00cm3 of aluminum? with solution
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Number of unit cells in 1 cm3 = 1 / 4.42 x 10-23 = 2.26 x 1022 unit cells.
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Explanation: In a cubic close packed structure,the length of the side of unit cell is related to radius by an equation r = a/2√2
Or
a = r x 2√2
Putting the values in the equation,we get
a = 125 x 2 x 1.414 = 353.5 pm
Volume of the unit cell= (353.5 x 10-10)3 = 4.42 x 10-23
Number of unit cells in 1 cm3 = 1 / 4.42 x 10-23 = 2.26 x 1022 unit cells.
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