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------------------------------------------------ How many coulombs of positive charge are there in 1.40 kg of plutonium, given that its atomic mass is 244 and each plutonium atom has 94 protons?

Answer :

Final answer:

1.40 kg of plutonium contains 5.18 x 10^6 coulombs of positive charge.

Explanation:

To determine the total amount of positive charge in 1.40 kg of plutonium, we need to find the number of atoms first. Plutonium with atomic mass of 244, means 1 mole of plutonium has a mass of 244 grams. Thus, the number of moles in 1.40 kg or 1400 grams is 1400/244 = 5.737 moles.

Using Avogadro's number (6.022 x 10^23 atoms/mole), the total number of plutonium atoms is 5.737 moles * 6.022 x 10^23 atoms/mole = 3.45 x 10^24 atoms. Given that each plutonium atom has 94 protons, and each proton carries a charge of 1.602 x 10^-19 coulombs,

the total charge is 94 protons/atom * 3.45 x 10^24 atoms * 1.602 x 10^-19 coulombs/proton = 5.18 x 10^6 coulombs.

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