If the radius of an atom of an element which forms a body centered cubic unit cell is $173.2 \ pm$, the volume of the unit cell in $cm^3$ is:

  • A
    $3.12 \times 10^{-23}$
  • B
    $6.4 \times 10^{-23}$
  • C
    $3.2 \times 10^{-24}$
  • D
    $2.13 \times 10^{-23}$

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Ammonium chloride crystallizes in a body-centered cubic $(BCC)$ lattice with a unit cell edge length of $390 \ pm$. If the radius of the chloride ion is $180 \ pm$, what is the radius of the ammonium ion in $pm$?

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