An element has $2.03 \times 10^{24}$ atoms in $135 \ g$. If the element crystallizes in a face-centered cubic $(FCC)$ lattice structure with an edge length of $150 \ pm$, then the density of the element is ............... $g \ cm^{-3}$.

  • A
    $19.7$
  • B
    $39.4$
  • C
    $78.8$
  • D
    $118.2$

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