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Question: Answered & Verified by Expert

Metal M crystallizes into a FCC lattice with the edge length of 4.0×10-8 cm. The atomic mass of the metal is g/mol.

(Use : NA=6.02×1023 mol-1, density of metal, M=9.03 g cm-3)

ChemistrySolid StateJEE MainJEE Main 2022 (28 Jul Shift 2)
Solution:
2067 Upvotes Verified Answer
The correct answer is: 87

Given ,a=4×10-8 cm

d=9.03 g/ml

d=ZMNAa3

Volume of a unit cell = a3, where a is the edge length

d is the density of the solid substance and M is the molar mass.

Mass of the unit cell = number of atoms in unit cell × mass of each atom =Z×m

(Here z is the number of atoms present in one unit cell and m is the mass of a single atom)M=9.03×6.02×1023×64×10-244=86.97g/mol

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