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Question

CsBr crystallizes in a body-centred cubic lattice of unit cell edge length $$436.6$$ pm. Atomic masses of Cs and Br are $$133$$ amu and $$80$$ amu respectively. The density (in g cm$$^{-3}$$) of CsBr is :


A
8.50
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B
4.25
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C
42.5
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D
0.425
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Solution

The correct option is A $$8.50$$
For bcc, z=4

The formula for density is given below:

$$\displaystyle \text{Density}=\frac{z\times M}{a^3\times N_0}$$

$$\displaystyle=\frac{2\times213}{(4.366\times10^{-8})^3\times6.02\times10^{23}}$$ 

$$=8.50$$ g cm$$^{-3}$$

Hence, the correct option is $$\text{A}$$

Chemistry

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