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Volume of a unit cell from the molar mass, unit cell type and density (or density x NA)

The same question, asked 6 times: 2 May 2023 S1*, 3 May 2023 S2*, 9 May 2023 S1*, 10 May 2023 S1*, 13 May 2024 S2*, 14 May 2024 S1. Every wording below, oldest first.

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  1. Question 1

    2 May 2023 S1

    66
    Calculate the volume of unit cell of an element having molar mass 2727 g mol−1^{-1} that forms fcc unit cell. ρ⋅NA=16.0×1023\rho \cdot N_A = 16.0 \times 10^{23} g cm−3^{-3} mol−1^{-1}

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  2. Question 2

    3 May 2023 S2

    92
    Calculate the volume of unit cell of an element having molar mass 63.5 g mol−163.5\text{ g mol}^{-1} that forms fcc structure [ϱ×NA=5.5×1024 g cm−3 mol−1][\varrho\times N_A = 5.5\times10^{24}\text{ g cm}^{-3}\text{ mol}^{-1}]

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  3. Question 3

    9 May 2023 S1

    54
    Calculate the volume of unit cell when metal having density 1 g cm−31\,\text{g\,cm}^{-3} and molar mass 23 g mol−123\,\text{g\,mol}^{-1} crystallises to form bcc structure.

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  4. Question 4

    10 May 2023 S1

    52
    Calculate the volume of unit cell if an element having molar mass 92 g mol−192\,\text{g mol}^{-1} forms bcc structure (ϱ×NA=5.0×1024 g cm−3 mol−1)(\varrho\times N_A=5.0\times10^{24}\,\text{g cm}^{-3}\text{ mol}^{-1})

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  5. Question 5

    13 May 2024 S2

    97
    Calculate the volume of unit cell if an element having molar mass 180 g mol−1180\ \text{g mol}^{-1} forms fcc unit cell. [d×NA=120×1021 g cm−3 mol−1d\times N_A=120\times10^{21}\ \text{g cm}^{-3}\ \text{mol}^{-1}]

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  6. Question 6

    14 May 2024 S1

    63
    Calculate the volume of unit cell if an element having molar mass 56 g mol−156\,\text{g mol}^{-1} forms bcc unit cells. [ρ⋅NA=4.8×1024 g cm−3 mol−1\rho\cdot N_A=4.8\times10^{24}\,\text{g cm}^{-3}\,\text{mol}^{-1}]

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