What is the total negative charge, in coulombs, of all the electrons in a small 1.20 g sphere of carbon? One mole of C is 12.0g, and each at

Question

What is the total negative charge, in coulombs, of all the electrons in a small 1.20 g sphere of carbon? One mole of C is 12.0g, and each atom contains 6 protons and 6 electrons.
Attempted to calculate the total number of electrons first and then using that to calculate the total negative charge. Came out with 8475.4, but MP says it is wrong.

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King 1 week 2021-07-22T07:14:44+00:00 1 Answers 1 views 0

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    2021-07-22T07:16:43+00:00

    Answer:

    -57792 C

    Explanation:

    Recall that in one mole of a substance there are an Avogadro number of molecules. That is:

    6.02\,\,\,10^{23}  molecules

    therefore, in 1.2 g, there would be ten times less molecules than in the 12.0 g mole, that is:  6.02\,\,\,10^{22}  molecules.

    Now, each C there are 6 negative charges, then, the number of electrons will be six times the number of C molecules, that is:  

    6\,*\,6.02\,\,\,10^{23}=36.12\,\,\,10^{22} =3.612\,\,\,10^{23}  electrons.

    Now we multiply this number times the charge of an electron (1.6\,\,\,10^{-19}\,C), and we obtained the total negative charge of the carbon sample:

    Total negative charge is: 5.7792\,\,10^{4}\,C=57792\,\,C

    therefore the total negative charge is: -57792 C

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