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Molar mass of an element from its density, unit cell type and the value of a^3 x NA

The same question, asked 6 times: 4 May 2023 S1*, 9 May 2023 S2*, 9 May 2024 S2*, 10 May 2024 S1*, 11 May 2024 S2*, 12 May 2024 S1. Every wording below, oldest first.

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  1. Question 1

    4 May 2023 S1

    63
    Calculate molar mass of an element having density 8.6 g cm−38.6\text{ g cm}^{-3} if it forms bcc structure a3×NA=22.0 cm3 mol−1a^3 \times N_A = 22.0\text{ cm}^3\text{ mol}^{-1}

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  2. Question 2

    9 May 2023 S2

    51
    Calculate the molar mass of an element having density 5.6 g cm−3^{-3} that forms bcc structure. a3×NA=75a^3 \times N_A = 75 cm3^3 mol−1^{-1}

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  3. Question 3

    9 May 2024 S2

    96
    Calculate the molar mass of an element having density 2121 g cm−3^{-3} that forms fcc unit cell, a3⋅NA=36a^3 \cdot N_A = 36 cm³ mol−1^{-1}.

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  4. Question 4

    10 May 2024 S1

    79
    Molar mass of element: density 2.7 g/cm3^3, fcc structure, a3NA=40a^3N_A=40 cm3^3/mol.

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  5. Question 5

    11 May 2024 S2

    65
    Calculate the molar mass of metal having density 9.3 g cm−39.3\ \text{g cm}^{-3} that forms simple cubic unit cell. [a3⋅NA=22.6 cm3 mol−1][a^3 \cdot N_A = 22.6\ \text{cm}^3\ \text{mol}^{-1}]

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  6. Question 6

    12 May 2024 S1

    58
    Calculate the molar mass of an element having density 7.8 g cm−37.8\,\text{g cm}^{-3} that forms bcc unit cell. [a3⋅NA=16.2 cm3 mol−1][a^3\cdot N_A = 16.2\,\text{cm}^3\,\text{mol}^{-1}]

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