High School

How many coulombs of positive charge are there in 1.21 kg of plutonium, given that its atomic mass is 244 and each plutonium atom has 94 protons?

Answer :

By Avogadro's number, the positive charge of plutonium is 4.5 x 10⁸ C.

We need to know about Avogadro's number to solve this problem. Avogadro's number is the number that explains how many atoms are in one mol. The Avogadro's number is

Na = 6,02 × 10²³ atoms / mol

From the question above, we know that

m = 1.21 kg = 1210 g

Ar = 244

λ = 94 protons/atom

By using Avogadro's number, we can calculate how many plutonium atoms

N = Na . n

N = 6,02 × 10²³ x gr/Mr

N = 6,02 × 10²³ x 1210/244

N = 3.01 x 10²⁵ atoms

Find the protons

protons = λ . N

protons = 94 . 3.01 x 10²⁵

protons = 2.83 x 10²⁷

Each proton has a charge 1.6 x 10¯¹⁹ C. Hence, the positive charge of plutonium is

Q = 2.83 x 10²⁷ . 1.6 x 10¯¹⁹ C

Q = 4.5 x 10⁸ C

For more on Avogadro's number at: https://brainly.com/question/1581342

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