Q32 / 150 · MHT CET 2024 (03 May Shift 2) · Chemistry

Find the void volume of bec unit cell in $\mathrm{cm}^3$ if volume of unit cell is $1.5 \times 10^{-22} \mathrm{~cm}^3$.

  • Correct answer
    A
    $4.8 \times 10^{-23}$
  • B
    $3.6 \times 10^{-23}$
  • C
    $2.4 \times 10^{-23}$
  • D
    $1.2 \times 10^{-23}$

Solution

Volume of unit cell $=\mathrm{a}^3=1.5 \times 10^{-22} \mathrm{~cm}^3$ Void volume of bec unit cell $=0.32 \times 1.5 \times 10^{-22} \mathrm{~cm}^3=4.8 \times 10^{-23} \mathrm{~cm}^3$ ($\because$ Percentage of void volume in bec unit cell $=32 \%$)

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

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