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Q.

A compound AB has a rock salt-type structure with A:B = 1:1. The formula weight of AB is 6.023 y amu and the closest A–B distance is y1/3 nm. Calculate the density of lattice (in Kg/m3).

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answer is 5.

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Detailed Solution

AB has rock salt (A: B: 1:1) structure, i.e., fcc structure (n = 4) and formula weight of BB is 6.023 y amu having closest distance A–By1/3nm. Therefore, edge length of unit cell
=2A++B=2×y1/3×109m Density of AB=Z×MNA×a3=4×6.023×y×1036.023×1023×2y1/3×1093
(Molecular weight in kg) 

= 5.0 kg m–3

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