Q10 / 77 · NTA Abhyas (JEE Main) 2020 · Chemistry · Solid State

Figure

X=5Å
Y=8Å
Molar mass of solid =259.8 g mol-1

A solid crystallises in hexagonal lattice as shown in above figure. Density of the solid is 5 g/ml . How many molecules are their in the given unit cell?
(Avagadro's number =6.023×1023 )

  • Correct answer
    A
    2
  • B
    3
  • C
    4
  • D
    6

Solution

Volume of unit cell = Area of base × height

=X2sin⁡60°×Y

=5×10-82×0.866×8×10-8

=1.732×10-22cm3

Number of molecules in the unit cell =Volume×DensityMolar mass×6.023×1023

=1.732×10-22×5259.8×6.023×1023≈2 .

Hence, the correct answer is option: 'A'.

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