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21 October, 17:52

22. How many atoms are there in 344.75 g of gold nugget? a. 1.05 x 10 to the power of 24 atoms b. 1.05 x 10 to the power of 23 atoms c. 6.02 x 10 to the power of 23 atoms d. 197 atoms Is B the answer

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  1. 21 October, 21:31
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    1.053*10²⁴ atoms of gold

    Explanation:

    Hello,

    Gold nugget are usually the natural occurring gold and they contain 85% - 90% weight of pure gold.

    In this question, we're required to find the number of atoms in 344.75g of a gold nugget.

    We can use mole concept relationship between Avogadro's number and molar mass.

    1 mole = molar mass

    Molar mass of gold = 197 g/mol

    1 mole = Avogadro's number = 6.022 * 10²³ atoms

    Number of mole = mass / molar mass

    Mass = number of mole * molar mass

    Mass = 1 * 197

    Mass = 197g

    197g is present in 6.022*10²³ atoms

    344.75g will contain x atoms

    x = (344.75 * 6.022*10²³) / 197

    X = 1.053*10²⁴ atoms

    Therefore 344.75g of gold nugget will contain 1.053*10²⁴ atoms of gold
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