Explanation Given: t 1/2 = 24000 years Formula used: A t = A 0 ⋅ 1 2 n n = t t 1 / 2 Calculation: We are told that we have 1 mole of plutonium atoms, so we can convert this to the actual number of atoms of plutonium to begin with, using Avogadro’s number : 1 mole × 6.022 × 10 23 atoms/mole = 6.022 × 10 23 atoms of Plutonium Now, we can use the equation for the number of atoms remaining after the decay to solve for the number of half-lives that have passed: A t = A 0 ⋅ 1 2 n 2 n = A 0 A t n =

Pearson eText for Chemistry: structures and Properties -- Instant Access (Pearson+)

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ISBN: 9780136951537

Author: Nivaldo Tro

Publisher: PEARSON+

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Chapter 14, Problem 110E

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To determine: The number of years it takes for a mole of a radioactive substance to decay.d

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Chapter 14, Problem 109E

Chapter 14, Problem 111E

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Pearson eText for Chemistry: structures and Properties -- Instant Access (Pearson+)

Ch. 14 - Explain why lizards become sluggish in cold...Ch. 14 - Why are reaction rates important (both practically...Ch. 14 - Using the idea that reactions occur as a result of...Ch. 14 - Using the idea that reactions occur as a result of...Ch. 14 - What units are typically used to express the rate...Ch. 14 - Why is the reaction rate for reactants defined as...Ch. 14 - Explain the difference between the average rate of...Ch. 14 - Consider a simple reaction in which a reactant A...Ch. 14 - How is the order of a reaction generally...Ch. 14 - For a reaction with multiple reactants, how is the...

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The number of years it takes for a mole of a radioactive substance to decay.d

Solution Summary: The author explains that it takes 1.9 10 6 years for a radioactive substance to decay to 1 atom.

To determine: The number of years it takes for a mole of a radioactive substance to decay.d

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Chapter 14 Solutions