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← JEE Main 2022 · 28 Jul · Shift 2
ChemistryInteger+4 / -1Question 52 of 90

JEE Main 2022 · 28 Jul · Shift 2, Chemistry question 52

Metal M crystallizes into a fcc lattice with the edge length of 4.0×10−84.0\times10^{-8} cm. The atomic mass of the metal is ______ g/mol. (Nearest integer)

(Use : NA=6.02×1023N_A=6.02\times10^{23} mol−1^{-1}, density of metal, M = 9.03 g cm−3^{-3})

Answer and worked solution

Official answer: 87

fcc (Z=4Z=4). M=ρa3NA4=9.03×64×10−24×6.02×10234≈87M=\frac{\rho a^3N_A}4=\frac{9.03\times64\times10^{-24}\times6.02\times10^{23}}4\approx87.

Answer: 87