Calculate the volume of the unit cell when a metal having a density of $1 \ g \ cm^{-3}$ and a molar mass of $23 \ g \ mol^{-1}$ crystallizes to form a $bcc$ structure.

  • A
    $6.0 \times 10^{-23} \ cm^3$
  • B
    $8.6 \times 10^{-23} \ cm^3$
  • C
    $9.5 \times 10^{-23} \ cm^3$
  • D
    $7.6 \times 10^{-23} \ cm^3$

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