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NEET 2006
Exam
NEET
Year
2006
Subject
Chemistry
Chapter
Solid State

NEET 2006 · Chemistry · Solid State

CsBr crystallises in a body centred cubic lattice. The unit cell...

CsBr crystallises in a body centred cubic lattice. The unit cell length is 436.6pm436.6 \mathrm{pm}. Given that the atomic mass of Cs=133\mathrm{Cs}=133 and that of Br=80amu\mathrm{Br}=80 \mathrm{amu} and Avogadro number being 6.02×1023 mol−16.02 \times 10^{23} \mathrm{~mol}^{-1}. the density of CsBr\mathrm{CsBr} is:

Options

  1. A4.25 g/cm34.25 \mathrm{~g} / \mathrm{cm}^3
  2. B42.5 g/cm342.5 \mathrm{~g} / \mathrm{cm}^3
  3. C0.425 g/cm30.425 \mathrm{~g} / \mathrm{cm}^3
  4. D8.25 g/cm38.25 \mathrm{~g} / \mathrm{cm}^3

Correct answer

A. 4.25 g/cm34.25 \mathrm{~g} / \mathrm{cm}^3

Step-by-step solution

Density of CsBr=Z×Ma3×N0Z→\mathrm{CsBr}=\frac{\mathrm{Z} \times \mathrm{M}}{a^3 \times \mathrm{N}_0}\mathrm{Z} \rightarrow No. of atoms in the bec unit cell =2M→=2 \mathrm{M} \rightarrow Molar mass of CaBr=133+80=213a→\mathrm{CaBr}=133+ 80=213 a \rightarrow Edge length of unit cell =436.6pm=436.6×10−10 cmN0=436.6 \mathrm{pm}=436.6 \times 10^{-10} \mathrm{~cm} \mathrm{N}_0 is Avogadro number ∴ Density =2×213(436.6×10−10)3×6.02×1023=8.50 g/cm3\begin{aligned} & \therefore \text{ Density } \\ & =\frac{2 \times 213}{\left(436.6 \times 10^{-10}\right)^3 \times 6.02 \times 10^{23}} \\ & =8.50 \mathrm{~g} / \mathrm{cm}^3 \end{aligned} For a unit cell =8.502=\frac{8.50}{2}=4.25  g\mathrm{~g} / cm3\mathrm{cm}^3 Related Theory When particles are closed packed resulting in either cpp or hcp structure, two types of voids are generated are Tetrahedral voids are holes or voids. (Coordination number of a tetrahedral void is 4.) Octahedral voids (Coordination number of octahedral void is 6.)
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