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6 February, 15:55

What is the mass of 5.87 x 1026 atoms of oxygen?

Dimensional analysis

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Answers (1)
  1. 6 February, 16:52
    0
    Mass = 15600 g

    Explanation:

    Given dа ta:

    Number of atoms of oxygen = 5.87 * 10²⁶

    Mass of oxygen = ?

    Solution:

    The given problem will solve by using Avogadro number.

    It is the number of atoms, ions and molecules in one gram atom of element, one gram molecules of compound and one gram ions of a substance.

    The number 6.022 * 10²³ is called Avogadro number.

    1 mole = 6.022 * 10²³ atoms

    5.87 * 10²⁶ atom * 1 mole / 6.022 * 10²³ atom

    0.975 * 10³ mole

    975 mole

    Mass of oxygen:

    Mass = number of moles * molar mass

    Mass = 975 * 16 g/mol

    Mass = 15600 g

    Dimensional analysis:

    5.87 * 10²⁶ atom * 1 mol/6.022 * 10²³ atom * 16 g / 1 mol = 15600 g
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