Calculate the volume of the unit cell of an element having a molar mass of $27 \ g \ mol^{-1}$ that forms an $fcc$ unit cell. Given: $\rho \cdot N_{A} = 16.0 \times 10^{23} \ g \ cm^{-3} \ mol^{-1}$.
- A$7.50 \times 10^{-23} \ cm^3$
- B$6.75 \times 10^{-23} \ cm^3$
- C$5.75 \times 10^{-23} \ cm^3$
- D$8.25 \times 10^{-23} \ cm^3$
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