How many coulombs of positive charge are there in 8.70 kg of plutonium, given its atomic mass is 244 and that each plutonium atom has 94 protons?
To find the number of coulombs of positive charge in 8.70 kg of plutonium, we need to consider the following steps:
Step 1: Calculate the number of moles of plutonium using its atomic mass.
Number of moles = Mass of plutonium (kg) / Atomic mass of plutonium (g/mol)
First, convert the mass of plutonium to grams:
8.70 kg * 1000 g/kg = 8,700 g
Number of moles = 8,700 g / 244 g/mol
Step 2: Calculate the total number of plutonium atoms using Avogadro's number.
Number of atoms = Number of moles * Avogadro's number
Avogadro's number is approximately 6.022 x 10^23.
Step 3: Determine the number of protons in the plutonium sample.
Number of protons = Number of atoms * Number of protons per atom
Since each plutonium atom has 94 protons, the number of protons per atom is 94.
Step 4: Calculate the total positive charge in coulombs.
Total charge = Number of protons * elementary charge
The elementary charge is approximately 1.602 x 10^-19 coulombs. Multiply this by the number of protons to get the total positive charge.
By following these steps, you should be able to find the number of coulombs of positive charge in 8.70 kg of plutonium.
how many moles in 8.70 kg?
So, how many atoms?
So, there are 94 times that many protons
Now divide by the # protons/coulomb