Answer :
Final answer:
By knowing the atomic mass and number of electrons for gold, we can calculate the total charge of all electrons in a 5.4-kg bar of gold to be -2.1 x 10^8 Coulombs.
Explanation:
Given the atomic mass and number of electrons for Gold, we can calculate the total charge of all electrons in a 5.4-kg bar of Gold. It is important to remember that each electron carries a charge of -1.602 x 10^-19 Coulombs. The number of atoms in the Gold bar can be found using the formula: Number of atoms = (mass of the sample / atomic weight) x Avogadro's constant. The atomic weight of gold is 197 g/mol and Avogadro's number is 6.022 x 10^23 atoms/mol.
So, the number of atoms in 5.4kg (5400g) of Gold is (5400 / 197) x 6.022 x 10^23 ≈ 1.65 x 10^25 atoms. Considering there are 79 electrons per Gold atom, this gives us a total of about 1.3 x 10^27 electrons in the Gold bar. Finally, multiplying by the charge per electron, we get a total charge of -2.1 x 10^8 Coulombs.
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