How many atoms of gold (Au) are equal to 212g of gold?

Question

How many atoms of gold (Au) are equal to 212g of gold?

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Nem 5 years 2021-08-18T05:04:36+00:00 1 Answers 22 views 0

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    2021-08-18T05:06:29+00:00

    Given :

    Mass of gold ( Au ) is 212 gram.

    To Find :

    Atoms of gold present in 212 gram of gold.

    Solution :

    Molecular mass of gold is 197 gram.

    So, number of moles of gold in 212 gram is :

    n = \dfrac{212}{197} \ moles\\\\n = 1.076 \ moles

    Now, we know 1 mole of any element contains 6.022 \times 10^{23} atoms.

    So, number of atoms present in 1.076 moles are :

    N = 1.076 \times 6.022\times 10^{23}\\\\N = 6.48 \times 10^{23}

    Hence, this is the required solution.

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