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Question

# An element crystallizes in a structure which is a cubic type of unit cell having one atom in each corner of the cube and 2 atoms on one of its diagonals. If the volume of the unit cell is 24×10−24 cm3 and the density of element is 7.2 g cm−3, the number of atoms present in 200 g of element is:

A
3.47×1024
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B
2.65×1021
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C
8.47×1022
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D
none of the above
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Solution

## The correct option is A 3.47×1024Total number of atoms in the given unit cell = (18×8)+2=3density =zMNa×V7.2=3×M6×1023×24×10−24M=345.6×10−1Number of atoms in 200g of element is 20034.5×6.023×1023=3.47×1024

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