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Question

An element having a bcc structure has 12.08×1023 unit cells. The number of atoms in these cells is:


A

12.08×1022

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B

12.08×1023

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C

24.16×1023

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D

48.38×1023

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Solution

The correct option is C

24.16×1023


Explanation for correct option

(C)24.16×1023

Step1. BCC unit cell

  • A body-centered cubic (BCC) unit cell contains one constituent particle (atom, molecule or ion) at its body center beside the ones that are at its corners.
  • The number of atoms per unit cell in BCC is two.

Step2. Number of atoms in unit cell

1unitcellofBCC=2atoms12.08×1023unitcellofBCChas=2×12.08×1023=24.16×1023

So, the number of atoms in this cell is 24.16×1023.

Explanation for incorrect option

The number of atoms in this cell is 24.16×1023. Hence options (A), (B), and (D) are incorrect.

Hence, option (C) is correct. The number of atoms in this cell is 24.16×1023.


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