Q.

Ice crystallises in a hexagonal lattice having a volume of the unit cell as 132×10-24 cm3 If density of ice at the given temperature is . If density of ice at the given temperature is 0.92 g cm–3, then number of H2O molecules per unit cell is

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a

2

b

1

c

3

d

4

answer is D.

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Detailed Solution

Volume =132×10−24 cm3

Density  =0.92 g cm−3

Mass of the unit cell = Volume × Density

 =132×10−24×0.92 =121.44×10−24 g

Molar mass of water =18.02 g mol−1

Number of moles of water =121.44×10-2418.02  mol


Number of molecules =6.739×10−24×6.023×1023 molecules per mole =4.05 molecules =4 molecules approximately

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