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16 February, 13:54

What is the volume V of a sample of 3.10 mol of copper? The atomic mass of copper (Cu) is 63.5 g/mol, and the density of copper is 8.92*103kg/m3. Express your answer in cubic centimeters to 3 significant figures.

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  1. 16 February, 15:36
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    4.50 x 10^7 cm3.

    Explanation:

    Given:

    Number of moles of Copper = 3.10 mol.

    Atomic mass of copper = 63.5 g/mol

    Density of copper = 8.92 * 10^3 kg/m^3

    Mass of copper = number of moles * atomic mass of copper

    = 3.10 * 63.5

    = 196.85 g of copper.

    Density = mass/volume

    Volume = 8.92 * 10^3 / 196.86

    = 45 m3

    Converting m3 to cm3,

    Remember,

    1 m = 100 cm,

    1 m3 = 1000000 cm3

    Therefore,

    45 m3 = 45 * 1000000

    = 4.5 x 10^7 cm3.
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