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Elena-2011 [213]
3 years ago
8

How many coulombs of positive charge are there in 47.0 gm of plutonium, given its atomic mass is 244 and that each plutonium ato

m has 96 protons?
(enter answer to three significant figures and in the exponent form: Example,

1.38e5)
Physics
1 answer:
enot [183]3 years ago
7 0

Answer:

  • 1.78×10⁶ C

Explanation:

Using the atomic mass of pluonium atoms (244 g/mol), you can calculate the number of atoms in 47.0 g. Then, knowing that each plutonium atom has 96 protons, you calculate the number of protons in the 47.0 g sample. Finally, using the positive charge of one proton, you calculate the total positive charge in the 47.0 g of plutonium.

<u>1. Number of atoms of plutonium in 47.0 g</u>

  • Number of moles = mass / atomic mass = 47.0 g / 244 = 0.1926 moles

  • Number of atoms = number of moles × 6.022 × 10²³ atoms/mol

  • Number of atoms = 0.1926 mol × 6.022 × 10²³ atoms/mol = 1.15998×10²³ atoms

<u>2. Number of protons</u>

  • Number of protons = 1.15998×10²³ atoms × 96 protons/atom = 1.11385×10²⁵ protons

<u>3. Charge</u>

<u />

  • Charge = charge of one proton × number of protons

  • Charge = 1.602×10⁻¹⁹ C/proton × 1.11385×10²⁵ protons = 1.78×10⁶C
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