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Answer :
There are approximately 5.777 × 10^26 protons, or coulombs of positive charge, in 2.49 kg of plutonium.
Based on the given information, we can calculate the number of coulombs of positive charge in 2.49 kg of plutonium. To do this, we need to convert the mass of plutonium to the number of atoms and then calculate the total positive charge.
First, we need to convert the mass of plutonium from kg to grams. Since 1 kg is equal to 1000 grams, 2.49 kg is equal to 2490 grams.
Next, we calculate the number of moles of plutonium using the atomic mass. The atomic mass of plutonium is 244 grams/mole. Therefore, the number of moles of plutonium is 2490 grams / 244 grams/mole = 10.20 moles.
Since each mole contains Avogadro's number of atoms, which is 6.022 × 10^23 atoms/mole, we can calculate the number of atoms in 10.20 moles of plutonium. The number of atoms is 10.20 moles × 6.022 × 10^23 atoms/mole = 6.152 × 10^24 atoms.
Finally, we calculate the total positive charge by multiplying the number of atoms by the number of protons in each atom. Each plutonium atom has 94 protons. Therefore, the total positive charge is 6.152 × 10^24 atoms × 94 protons/atom = 5.777 × 10^26 protons.
1. Convert the mass of plutonium from kg to grams: 2.49 kg = 2490 grams.
2. Calculate the number of moles of plutonium using the atomic mass: 2490 grams / 244 grams/mole = 10.20 moles.
3. Calculate the number of atoms in 10.20 moles of plutonium using Avogadro's number: 10.20 moles × 6.022 × 10^23 atoms/mole = 6.152 × 10^24 atoms.
4. Calculate the total positive charge by multiplying the number of atoms by the number of protons in each atom: 6.152 × 10^24 atoms × 94 protons/atom = 5.777 × 10^26 protons.
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