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What is the total charge of all the electrons in a 15 kg bar of gold?

(Gold has 79 electrons per atom and an atomic mass of 197 u.)

Answer :

The total charge of all the electrons in a 15 kg bar of gold can be calculated by using the number of atoms in the bar and the number of electrons per atom. The mass of gold is 197 u (atomic mass unit) and the number of electrons per atom is 79. So, we can calculate the number of atoms in the bar by dividing the mass of gold (15 kg) by the atomic mass (197 u):

15 kg / 197 u = 76,154 atoms


Now we can calculate the total charge of all the electrons in the bar by multiplying the number of electrons per atom by the number of atoms in the bar:

76,154 atoms x 79 electrons per atom = 6,022,866 total electrons

Since the charge of one electron is -1.6 x 10^-19 Coulombs, the total charge of all the electrons in the 15 kg bar of gold is:


6,022,866 total electrons x (-1.6 x 10^-19 Coulombs/electron) = -9.63 x 10^-10 Coulombs

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