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Question

An ionic compound AB has a rock salt structure with A:B = 1:1. The formula mass of AB is 6.023 y amu and the closest A - B distance is y13nm. Calculate the density of the lattice in kg/m3.

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Solution

Given distance between A and B = y1/3nm=y1/3×109m
Since we have been told that it is a rock salt type structure, we understand that the above distance taken twice will be the edge length.
Hence, edge length = 2y1/3×109m
We also know that Z=4
We know that density = ρ=ZMVNA=4×6.023y×103(2×y1/3×109)3×6.023×1023=5 kg/m3

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