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Ga (atomic mass 70 u) crystallizes in a hexagonal close packed structure. The total number of voids in 0.581 g of Ga is _______ × 1021. (Round off to the nearest integer)
    Correct answer is '15'. Can you explain this answer?
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    Ga (atomic mass 70 u) crystallizes in a hexagonal close packed structu...
    To solve this problem, we need to use the concept of the number of voids per unit cell in a hexagonal close packed structure.

    In a hexagonal close packed structure, there are two types of voids: tetrahedral voids and octahedral voids. Each unit cell contains one tetrahedral void and two octahedral voids.

    The atomic mass of Ga is 70 u, which means that the mass of one Ga atom is 70/6.022 x 10^23 g. The number of Ga atoms in 0.581 g of Ga can be calculated as follows:

    Number of Ga atoms = (0.581 g)/(70/6.022 x 10^23 g/mol) = 4.94 x 10^21 atoms

    Each unit cell of a hexagonal close packed structure contains 6 atoms, so the number of unit cells in 4.94 x 10^21 Ga atoms can be calculated as follows:

    Number of unit cells = (4.94 x 10^21 atoms)/(6 atoms per unit cell) = 8.23 x 10^20 unit cells

    Each unit cell contains one tetrahedral void and two octahedral voids, so the total number of voids in 8.23 x 10^20 unit cells can be calculated as follows:

    Total number of voids = (1 tetrahedral void per unit cell + 2 octahedral voids per unit cell) x 8.23 x 10^20 unit cells
    = 2.47 x 10^21 voids

    Therefore, the total number of voids in 0.581 g of Ga is 2.47 x 10^21 voids.
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    Ga (atomic mass 70 u) crystallizes in a hexagonal close packed structu...
    HCP Structure: Per atom, there will be one octahedral void (OV) and two tetrahedral voids (TV).
    Therefore, total three voids per atom are present in HCP structure.
    → Therefore, total number of atoms of Ga will be:

    → Now, total number of voids = 3 × total number of atoms
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    In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling model of this structure, called hexagonal close-packed (HCP), is constituted of a sphere on a flat surface surrounded in the same plane by six identical spheres as closely as possible. Three spheres are then placed over the first layer so that they touch each other and represent the second layer. Each one of these three spheres touches three spheres of the bottom layer. Finally, the second layer is covered with a third layer that is identical to the bottom layer in relative position. Assume radius of every sphere to be r.The number of atoms in this HCP unit cells is [JEE 2008]

    In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling model of this structure, called hexagonal close-packed (HCP), is constituted of a sphere on a flat surface, surrounded in the same plane by six identical spheres as closely as possible. Three spheres are then placed over the first layer, so that they touch each other and represent the second layer. Each one of these three spheres touches three spheres of the bottom layer. Finally, the second layer is covered with a third layer that is identical to the bottom layer in relative position. Assume radius of every sphere to be 'r'.The number of atoms in this HCP unit cell is Correct answer is '6'. Can you explain this answer?

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    Ga (atomic mass 70 u) crystallizes in a hexagonal close packed structure. The total number of voids in 0.581 g of Ga is _______ × 1021. (Round off to the nearest integer)Correct answer is '15'. Can you explain this answer?
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    Ga (atomic mass 70 u) crystallizes in a hexagonal close packed structure. The total number of voids in 0.581 g of Ga is _______ × 1021. (Round off to the nearest integer)Correct answer is '15'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Ga (atomic mass 70 u) crystallizes in a hexagonal close packed structure. The total number of voids in 0.581 g of Ga is _______ × 1021. (Round off to the nearest integer)Correct answer is '15'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ga (atomic mass 70 u) crystallizes in a hexagonal close packed structure. The total number of voids in 0.581 g of Ga is _______ × 1021. (Round off to the nearest integer)Correct answer is '15'. Can you explain this answer?.
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