Answer :
The number of coulombs of positive charge in 3.20 kg of plutonium can be calculated using the Avogadro's number and the number of protons in each plutonium atom.
To determine the number of coulombs of positive charge in 3.20 kg of plutonium, we need to consider the number of protons in each plutonium atom and the amount of plutonium present.
First, we convert the mass of plutonium from kilograms to grams. Since there are 1000 grams in a kilogram, we have 3200 grams of plutonium.
Next, we calculate the number of moles of plutonium. We divide the mass (3200 g) by the atomic mass (244 g/mol) to get approximately 13.11 moles of plutonium.
Using Avogadro's number, which is 6.022 x 10^23 atoms/mol, we can determine the number of atoms in the sample. Multiplying the number of moles by Avogadro's number, we find that there are approximately 7.89 x 10^24 atoms of plutonium.
Each plutonium atom has 94 protons. Therefore, we multiply the number of atoms by the number of protons per atom to get approximately 7.43 x 10^26 protons.
Finally, we calculate the total charge in coulombs by multiplying the number of protons by the charge of each proton, which is 1.602 x 10^-19 coulombs. The result is approximately 1.19 x 10^7 coulombs of positive charge.
There are approximately 1.19 x 10^7 coulombs of positive charge in 3.20 kg of plutonium.
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