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JEE Advanced
Exam
JEE Advanced
Subject
Chemistry
Chapter
Solid State

JEE Advanced · Chemistry · Solid State

A compound A B has a rock salt structure with A: B=1: 1 . The...

AA compound ABA B has a rock salt structure with A:B=1:1A: B=1: 1. The formula weight of ABA B is 6.023Y6.023 Y amu. And the closest distance between AA and BB is Y1/3 nmY^{1 / 3} \mathrm{~nm}. The observed density of the lattice in kg/m3\mathrm{kg} / \mathrm{m}^3 is :

Correct answer

5

Step-by-step solution

A=2y1/3 nm.M=6.023×y×4amu Density =m/a3=6.023×4×1.66×10−278y×10−27 kg/m3=408=5 kg/m3\begin{aligned} & A=2 y^{1 / 3} \mathrm{~nm} . \quad \mathrm{M}=6.023 \times \mathrm{y} \times 4 \mathrm{amu} \\ & \text { Density }=\mathrm{m} / \mathrm{a}^3=\frac{6.023 \times 4 \times 1.66 \times 10^{-27}}{8 \mathrm{y} \times 10^{-27}} \mathrm{~kg} / \mathrm{m}^3 \\ & =\frac{40}{8}=5 \mathrm{~kg} / \mathrm{m}^3 \end{aligned}
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