Answer :
Approximately 1.489 x 10^6 coulombs of positive charge exist in 4.00 kg of plutonium, calculated using the number of plutonium atoms, protons per atom, and the charge of each proton.
To find the number of coulombs of positive charge in 4.00 kg of plutonium, we need to use the following information:
1. Atomic mass of plutonium (Pu) = 244
2. Number of protons in each plutonium atom = 94
First, we need to calculate the number of plutonium atoms in 4.00 kg of plutonium. To do this, we'll use Avogadro's number (6.022 x 10^23 atoms/mole).
1 mole of plutonium = 244 grams (atomic mass of plutonium)
1 kg of plutonium = 1000 grams
So, 4.00 kg of plutonium is equal to (4.00 kg) / (244 g/mol) * (6.022 x 10^23 atoms/mol) = 9.877 x 10^23 atoms
Next, we need to calculate the total positive charge of these atoms. Since each plutonium atom has 94 protons, the total positive charge is equal to the number of atoms multiplied by the number of protons.
Total positive charge = (9.877 x 10^23 atoms) * (94 protons/atom)
= 9.284 x 10^25 protons
Finally, we need to convert the number of protons to coulombs. Each proton has a charge of approximately 1.602 x 10^-19 coulombs.
Total positive charge = (9.284 x 10^25 protons) * (1.602 x 10^-19 coulombs/proton)
= 1.489 x 10^6 coulombs
Therefore, there are approximately 1.489 x 10^6 coulombs of positive charge in 4.00 kg of plutonium.
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