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Ice crystallises in a hexagonal lattice ...

Ice crystallises in a hexagonal lattice having volume of the unit cell. As `132xx10^(-24)" cm"^(3)` . If the density is `0.9 g " cm"^(-3)` at a gases temperature the number of `H_(2)O` molecules per unit cell is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Density `(rho)=("Mass")/("Volume")`
Mass of n molecules of `H_(2)O`
in hcc packing `=(18n)/("No")=((18g " mol"^(-1))xxn)/((6.022xx10^(23)" mol"^(-1)))`
`(0.92 g " cm" ^(-3))=((18g " mol"^(-1))xxn)/((6.022xx10^(23)" mol"^(-1))xx(132xx10^(-24)cm^(3)))`
`n=((0.92 g cm^(3))xx(6.022xx10" mol"^(-1))xx(132xx10^(-24)cm^(3)))/((18g " mol"^(-1)))=4`
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