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16 July, 10:34

A pure titanium cube has an edge length of 2.78 in. How many titanium atoms does it contain? Titanium has a density of 4.50g/cm3

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  1. 16 July, 10:41
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    2.78 in is equivalent to 7.06 cm

    volume of the cube = (7.06) ^3 = 351.9 cm^3

    density can be calculated using the following rule:

    density = mass / volume

    therefore:

    mass = density x volume

    we have both the density and the volume, therefore, we can substitute to get the mass of the cube as follows:

    mass of cube = 4.5 x 351.9 = 1583.5 grams

    from the periodic table: mass of titanium = 47.88 grams/mole

    to know the number of moles, we simply divide the mass by the molar mass.

    number of moles in cube = 1583.5 / 47.88 = 33.1 moles

    Each mole contains Avogadro's number of atoms, therefore:

    number of atoms in 33.1 moles = 33.1 x 6.02 x 10^23 = 1.99 x 10^25 atoms
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