an element X with atomic mass of 60gm/mol has density 6.23gm/cm cube. If the edge length of cubic unit cell is 400pm. identify the type of cubeic unit cell.

https://s3mn.mnimgs.com/img/shared/discuss_editlive/4136612/2013_03_25_04_57_53/mathmlequation3025683121139251964.png

Density (d) = 6.23 g/cm3

https://s3mn.mnimgs.com/img/shared/discuss_editlive/4136612/2013_03_25_04_57_53/mathmlequation3646291919953306717.png

Atomic mass (M) = 60

https://s3mn.mnimgs.com/img/shared/discuss_editlive/4136612/2013_03_25_04_57_53/mathmlequation398523255954077797.png

https://s3mn.mnimgs.com/img/shared/discuss_editlive/4136612/2013_03_25_04_57_53/mathmlequation7890994934574108338.png

Z = 4

We know that number of atoms in a fcc unit cell is equal to 4

Therefore the cubic cell is of fcc type.

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