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JEE Main 202116 MarchEvening Shift
Exam
JEE Main
Year
2021
Date
16 March
Shift
Evening Shift
Subject
Chemistry
Chapter
Solid State

JEE Main 2021 · 16 March · Evening Shift · Chemistry · Solid State

Ga (atomic mass 70u ) crystallizes in a hexagonal close packed...

GaGa (atomic mass 70u70u) crystallizes in a hexagonal close packed structure. The total number of voids in 0.581g0 . 581g of GaGa is ________ ×1021\times {10}^{21}. (Round off to the Nearest Integer).

Correct answer

0

Step-by-step solution

HCPHCP structure : Per atom, there will be one octahedral void (OV)( OV ) and two tetrahedral voids (TV)( TV ).

Therefore, total three voids per atom are present in HCPHCP structure.

→\to Therefore total no. of atoms of GaGa will be-

=MassMolarMass×NA=0.581g70g/mol×6.023×1023= \dfrac{Mass}{MolarMass} \times {N}_{A} = \dfrac{0 . 581g}{70g / mol} \times 6 . 023 \times {10}^{23}

→\to Now, total Number of voids =3= 3 ×\times total no. of atoms

=3×0.58170×6.023×1023=14.99×1021= 3 \times \dfrac{0 . 581}{70} \times 6 . 023 \times {10}^{23} = 14 . 99 \times {10}^{21}

≃15×1021≃ 15 \times {10}^{21}

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