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Question: Ice crystallises in a hexagonal lattice having volume of the unit cell as 132 × 10<sup>–24</sup> cm<...

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

A

1

B

2

C

3

D

4

Answer

4

Explanation

Solution

massvolume\frac{mass}{volume}= d

Mass of n molecules of H2O in hexagonal packing = 18nN0\frac{18n}{N_{0}} =

= 18n6.02×1023×132×1024\frac{18n}{6.02 \times 10^{23} \times 132 \times 10^{- 24}}= 0.92

\ n = 0.92×6.02×101×13218\frac{0.92 \times 6.02 \times 10^{- 1} \times 132}{18}= 4