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Question

Ice crystallizes in a hexagonal lattice. At low temperature, at which the structure was determined, the lattice constants were a=4.53 ˚A and b=7.60 ˚A (see figure). How many molecules of water are contained in a given unit cell? [Density of ice is 0.92 g cm3.]
264608_f5c9a35b893f478087d2b8bd8f6cfae1.png

A
2
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B
3
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C
4
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D
5
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Solution

The correct option is C 4
As we know, density =nMVNo, where n is the number of atoms per unit cell.
Density =0.92=n×18(a2b)×(6×1023) n=4
So, one unit of this structure contains 4 molecules of water.

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