Q45 / 150 · MHT CET 2025 (26 Apr Shift 1) · Chemistry

The compound forming ccp structure contains $9.6 \times 10^{23}$ atoms. Find the number of tetrahedral voids formed in it.

  • A
    $1.00 \times 10^{24}$
  • B
    $1.68 \times 10^{24}$
  • Correct answer
    C
    $1.92 \times 10^{24}$
  • D
    $1.56 \times 10^{24}$

Solution

The number of tetrahedral voids in a cubic close-packed structure is twice the number of atoms. Given $N = 9.6 \times 10^{23}$ atoms, we compute the number of tetrahedral voids as $2 \times (9.6 \times 10^{23}) = 19.2 \times 10^{23}$.

Expressed in standard scientific notation, this is $1.92 \times 10^{24}$, which corresponds to option C.

Hence, the correct answer is option: 'C'.

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