If the aluminum unit cell exhibits face-centered behavior then how many unit cells are present in 54g of aluminum?

If the aluminum unit cell exhibits face-centered behavior then how many unit cells are present in 54g of aluminum? Correct Answer 3.011 x 1023

Atomic mass of Al = 27g/mole (contains 6.022 x 1023 Al atoms) Since it exhibits FCC, there are 4 Al atoms/unit cell. If 27g Al contains 6.022 x 1023 Al atoms then 54g Al contains 1.2044 x 1024atoms. Thus, if 1 unit cell contains 4 Al atoms then number of unit cells containing 1.2044 x 1024 atoms=(1.2044 x 1024 x 1)/4 = 3.011× 1023 unit cells.

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