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26 August, 10:07

Suppose you were to make a ring from a single strand of gold atoms. How many gold atoms would be required to make such a ring? How much would the ring weigh in grams?

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  1. 26 August, 10:14
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    Let us assume that the ring is a size 7 ring, which has a circumference of 54.3 millimeters. Converting this to centimeters, the circumference of the ring is:

    54.3 mm = 5.43 cm

    Now, we determine the number of gold atoms that will be present in this:

    5.43 / 1 x 10⁻⁹

    There will be 5.43 x 10⁹ atoms

    We now determine the number of moles this is by:

    one mole = 6.02 x 10²³ atoms

    Moles = 5.43 x 10⁹ / 6.02 x 10²³

    Moles = 9.01 x 10⁻¹⁵ moles

    The molar mass of gold is 197 g/mol

    The mass is 9.01 x 10⁻¹⁵ * 197

    The mass of the strand is 1.76 x 10⁻¹² grams
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