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Q.

CsBr crystallise in a body centred cubic lattice. The unit cell length is 436.6pm. Given that the atomic mass of Cs=133 and that of Br=80 amu and Avogadro number being 6.02×1023 mol-1, the density of CsBr is

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a

4.25 g/cm3

b

42.5 g/cm3

c

0.425 g/cm3

d

8.25 g/cm3

answer is A.

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Detailed Solution

We know that the formula for density of CsBr=Z×Ma3×N0

Here, Z=1(because 1 formula unit is presence)

M=molar mass of CsBr=133+80=213

a= edge length of unit cell =436.6pm=436.6×10-10 cm

Hence, the Density =1×213436.6×10-103×6.02×1023=4.25 g/cm3

The correct option is A). 

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CsBr crystallise in a body centred cubic lattice. The unit cell length is 436.6pm. Given that the atomic mass of Cs=133 and that of Br=80 amu and Avogadro number being 6.02×1023 mol-1, the density of CsBr is