Ch.11 Nuclear Chemistry

McMurry - Fundamentals of General, Organic, and Biological Chemistry 8th Edition

McMurry8th EditionFundamentals of General, Organic, and Biological ChemistryISBN: 9780134015187Not the one you use?Change textbook

McMurry 8th Edition

Ch.11 Nuclear Chemistry

Problem 36

Chapter 11, Problem 36

How can a nucleus emit an electron during β decay when there are no electrons present in the nucleus to begin with?

Verified step by step guidance

Understand the concept of β decay: Beta (β) decay is a type of radioactive decay in which a nucleus emits a beta particle. A beta particle can either be an electron (β⁻ decay) or a positron (β⁺ decay). In this case, we are discussing β⁻ decay, where an electron is emitted.

Recognize the source of the emitted electron: During β⁻ decay, a neutron in the nucleus is converted into a proton, an electron, and an antineutrino. This process occurs due to the weak nuclear force, one of the four fundamental forces in nature.

Write the reaction for β⁻ decay: The conversion of a neutron into a proton can be represented as:

n \to p + e^{-} + ν ¯^{-}

. Here,

e^{-}

represents the emitted electron, and

ν ¯^{-}

is the antineutrino.

Clarify why the electron is emitted: The electron emitted during β⁻ decay is not one that was originally present in the nucleus. Instead, it is created during the transformation of the neutron into a proton. This is a result of the conservation of charge and energy during the decay process.

Summarize the key takeaway: The nucleus emits an electron during β⁻ decay because the electron is produced as a byproduct of the neutron-to-proton conversion. This process is governed by the weak nuclear force and ensures the conservation of fundamental properties like charge and energy.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Beta Decay

Beta decay is a type of radioactive decay in which a nucleus emits a beta particle, which can be an electron or a positron. This process occurs when a neutron in the nucleus transforms into a proton, emitting an electron (beta-minus decay) and an antineutrino. The emitted electron is not pre-existing in the nucleus; rather, it is created during the decay process.

Weak Nuclear Force

The weak nuclear force is one of the four fundamental forces of nature and is responsible for processes like beta decay. It governs the interactions that allow particles to change types, such as a neutron converting into a proton and emitting a beta particle. This force operates at a very short range and is crucial for the stability and transformation of subatomic particles.

Particle-Antiparticle Creation

In quantum physics, particle-antiparticle pairs can be created from energy, as described by Einstein's equation E=mc². During beta decay, the energy released from the transformation of a neutron into a proton can facilitate the creation of an electron and an antineutrino. This illustrates how particles can emerge from energy fluctuations in the quantum field, even if they were not present initially.

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What is wrong with the following decay curve? Explain.

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How does nuclear fission differ from normal radioactive decay?

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How does ionizing radiation lead to cell damage?

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List three of the five ways in which a nuclear reaction differs from a chemical reaction.

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Bismuth-212 attaches readily to monoclonal antibodies and is used in the treatment of various cancers. This bismuth-212 is formed after the parent isotope undergoes a decay series consisting of four α decays and one β decay (the decays could be in any order). What is the parent isotope for this decay series?

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Textbook Question

Identify the starting radioisotopes needed to balance each of these nuclear reactions:

a. ? + ⁴₂He → ¹¹³₄₉In

b. ? + ⁴₂He → ¹³₇N + ¹₀n

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