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.

Respuesta :

Answer:

-57792 C

Explanation:

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

[tex]6.02\,\,\,10^{23}[/tex]  molecules

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

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

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

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

therefore the total negative charge is: -57792 C