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18 October, 06:14

How many atoms of mercury are present in 3.4 cubic centimeters of liquid mercury? the density of mercury is 13.55 g/cc?

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  1. 18 October, 08:25
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    1.37 * 10²³ Atoms of Mercury

    Solution:

    Step 1: Calculate Mass of Mercury using following formula,

    Density = Mass : Volume

    Solving for Mass,

    Mass = Density * Volume

    Putting values,

    Mass = 13.55 g. cm⁻³ * 3.4 cm³ ∴ 1 cm³ = 1 cc

    Mass = 46.07 g

    Step 2: Calculating number of Moles using following formula;

    Moles = Mass : M. mass

    Putting values,

    Moles = 46.07 g : 200.59 g. mol⁻¹

    Moles = 0.229 mol

    Step 3: Calculating Number of Atoms using following formula;

    Number of atoms = Moles * 6.022 * 10²³

    Putting value of moles,

    Number of Atoms = 0.229 mol * 6.022 * 10²³

    Number of Atoms = 1.37 * 10²³ Atoms of Hg
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