How many coulombs of positive charge are there in 4.28 kg of plutonium, given that its atomic mass is 244 g/mol and each plutonium atom has 94 protons?

To calculate the number of coulombs of positive charge in 4.28 kg of plutonium, convert the mass to moles and multiply by Avogadro's number. The total charge is approximately 1.8 x 10^22 coulombs.

Explanation:

To calculate the number of coulombs of positive charge in 4.28 kg of plutonium, we need to convert the mass of plutonium into moles and then multiply it by Avogadro's number. First, convert the atomic mass of plutonium from grams to kilograms by dividing by 1000. Then divide the mass in kilograms by the molar mass of plutonium to get the number of moles. Finally, multiply the number of moles by the charge of each plutonium atom, which is equal to the number of protons in the atom (94) times the charge of each proton (1.6 x 10^-19 coulombs).

Let's calculate:

Molar mass of plutonium = 244 g/mol = 0.244 kg/mol
Number of moles = mass of plutonium (in kg) / molar mass of plutonium = 4.28 kg / 0.244 kg/mol
Charge of each plutonium atom = number of protons x charge of each proton = 94 x 1.6 x 10^-19 coulombs
Total charge = number of moles x charge of each plutonium atom

Substituting the values into the formula:

Total charge = 4.28 kg / 0.244 kg/mol * 94 * 1.6 x 10^-19 coulombs

After evaluating the expression, the total charge comes out to be approximately 1.8 x 10^22 coulombs.

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