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Number of unit cells in a given mass of a metal

This type of question, asked 9 times: 2 May 2023 S2, 16 May 2023 S1, 16 May 2023 S2, 9 May 2024 S1, 11 May 2024 S1, 15 Apr 2026 S1, 18 Apr 2026 S2, 20 Apr 2026 S2, 13 May 2026 S2. All 9 questions below, oldest first.

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  1. Question 1

    2 May 2023 S2

    90
    Calculate the number of unit cells in 10.8 g metal (ρa3=7.2×10−22 g)(\rho a^3 = 7.2 \times 10^{-22}\,\text{g}).

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  2. Question 2

    16 May 2023 S1

    52
    Calculate the number of unit cells in 0.9 g metal if it forms bcc structure. [ρ×a3=3×10−22 g][\rho \times a^3 = 3 \times 10^{-22}\,\text{g}]

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  3. Question 3

    16 May 2023 S2

    88
    Calculate the number of unit cells in 0.4 g metal if the product of density and volume of unit cell is 1.2×10−221.2 \times 10^{-22} g.

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  4. Question 4

    9 May 2024 S1

    78
    What is the number of unit cells when one mole atom of a metal forms simple cubic structure?

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  5. Question 5

    11 May 2024 S1

    96
    What is the number of unit cells present in a cubic pack crystal lattice having 4 atoms per unit cell and weighing 0.60 g (molar mass 60 g mol−1^{-1})?

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  6. Question 6

    15 Apr 2026 S1

    19
    Calculate the number of unit cells present in 11 g metal if the product of the density of metal and the volume of unit cell is 2.5×10−222.5 \times 10^{-22} g.

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  7. Question 7

    18 Apr 2026 S2

    19
    Calculate the number of unit cell in 0.50.5 g metal if the product of volume and density of unit cell is 6.65×10−236.65 \times 10^{-23} g

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  8. Question 8

    20 Apr 2026 S2

    19
    A metal crystallizes in a bcc unit cell having unit cell volume 2.5×10−23 cm32.5 \times 10^{-23}\ \mathrm{cm^3}. Find the number of unit cells in 18 g metal if the density of metal is 7.2 g cm−37.2\ \mathrm{g\,cm^{-3}}.

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  9. Question 9

    13 May 2026 S2

    21
    Find out the number of unit cells present in 100100 g of an element if density of it is 9.0 g cm−39.0\ \mathrm{g\,cm^{-3}}. [Volume of unit cell =4.445×10−23cm3= 4.445 \times 10^{-23}\mathrm{cm^3}]

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