12 g of coal contains approximately 6 × 1023 atoms of carbon. How many atoms would be in 1 kg of carbon? Show your working.

Question

12 g of coal contains approximately 6 × 1023 atoms of carbon.
How many atoms would be in 1 kg of carbon?
Show your working.

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Amity 3 years 2021-08-02T00:46:43+00:00 1 Answers 35 views 0

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    2021-08-02T00:47:57+00:00

    Answer:

    5*10^25 atoms of carbon

    Explanation:

    Check from the periodic table:

    M(carbon) = 12.01 g/mol

    Convert kg into g:

    1 kg = 1000 g

    Calculate the number of moles of carbon:

    n(carbon) = (1000 g) ÷ (12.01 g/mol) = 83.26 mol

    Convert moles into number of particles:

    #(carbon) = n × NA = 83.26 mol × 6*10^23

    = 5*10^25 particles

    Note: NA represents the Avogadro’s Number, which has the value 6.02*10^23 particles/mol.

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