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How many coulombs of positive charge are there in 1.82 kg of plutonium, given that its atomic mass is 244 and each plutonium atom has 94 protons?

Answer :

There are 6.764 x 10^7 coulombs of positive charge in 1.82 kg of plutonium. Calculated using the atomic mass and number of protons in a plutonium atom.

To determine the number of coulombs of positive charge in 1.82 kg of plutonium, we first need to calculate the number of atoms present. We can use the atomic mass of plutonium, which is 244 g/mol, to convert the mass to moles:
1.82 kg = 1820 g
1820 g / 244 g/mol = 7.459 moles
Since each mole contains Avogadro's number of atoms (6.022 x 10^23), we can find the total number of plutonium atoms in 1.82 kg of plutonium:
7.459 moles x 6.022 x 10^23 atoms/mol = 4.493 x 10^24 atoms
Each plutonium atom has 94 protons, which means there are a total of:
4.493 x 10^24 atoms x 94 protons/atom = 4.222 x 10^26 protons
The charge of one proton is +1.602 x 10^-19 coulombs. Therefore, the total positive charge in 1.82 kg of plutonium is:
4.222 x 10^26 protons x +1.602 x 10^-19 C/proton = 6.764 x 10^7 C.

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