When two protons fuse in a star, the product is \(^{2} \mathrm{H}\) plus a positron. Write the nuclear equation for this process.

Short Answer

Expert verified
The balanced nuclear equation for the fusion of two protons in a star is: \( ^{1}\mathrm{H} + ^{1}\mathrm{H} \rightarrow ^{2}\mathrm{H} + ^{0}\mathrm{e} \)

Step by step solution

01

Identify the particles involved in the reaction

Before writing the nuclear equation, we need to identify the particles involved: 1. Protons: A proton is a hydrogen nucleus with a mass number (A) of 1 and an atomic number (Z) of 1. Its nuclear notation is \(^{1}\mathrm{H}\). 2. Deuterium: Deuterium is an isotope of hydrogen with a mass number (A) of 2 and an atomic number (Z) of 1. Its nuclear notation is \(^{2}\mathrm{H}\). 3. Positron: A positron is an anti-particle of the electron with a mass number (A) of 0 and a positive atomic number (Z) of 1. Its nuclear notation is \(^{0}\mathrm{e}\).
02

Write the initial (unbalanced) nuclear equation

Now that we know the particles involved, we can write the unbalanced nuclear equation: $$ ^{1}\mathrm{H} + ^{1}\mathrm{H} \rightarrow ^{2}\mathrm{H} + ^{0}\mathrm{e} $$
03

Check if the nuclear equation is balanced

To check if a nuclear equation is balanced, we need to make sure the mass numbers (A) and atomic numbers (Z) are conserved on both sides of the equation: Left side: - Total mass number (A) = 1 + 1 = 2 - Total atomic number (Z) = 1 + 1 = 2 Right side: - Total mass number (A) = 2 + 0 = 2 - Total atomic number (Z) = 1 + 1 = 2 Since both mass numbers and atomic numbers are conserved, the nuclear equation is balanced.
04

Write the final balanced nuclear equation

The balanced nuclear equation for the fusion of two protons in a star is: $$ ^{1}\mathrm{H} + ^{1}\mathrm{H} \rightarrow ^{2}\mathrm{H} + ^{0}\mathrm{e} $$

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Nuclear Chemistry
Nuclear chemistry revolves around the study of atomic nuclei and the changes they undergo.
One of the most fundamental processes in nuclear chemistry is nuclear fusion, which is a reaction where two or more nuclei come together to form a heavier nucleus.

This is what fuels the stars, including our Sun, and is responsible for the creation of elements heavier than hydrogen. The process releases a significant amount of energy, which is why fusion reactions are being investigated as a potential source of clean and almost limitless power here on Earth.

The Basics of Nuclear Reactions

In a nuclear reaction, the total number of protons and neutrons (mass number) and the total charge (atomic number) must be conserved.
This ensures that energy and matter are not lost, in accordance with the law of conservation of mass-energy.
Balancing Nuclear Equations
Balancing nuclear equations is similar to balancing chemical equations, but it focuses on the protons and neutrons in an atom's nucleus.

To balance a nuclear equation, you must ensure that the sum of atomic numbers and the sum of mass numbers are equal on both sides of the equation.

Conservation Laws in Nuclear Equations

The conservation of mass and charge is crucial when balancing nuclear equations.
In the example of two protons fusing into deuterium and producing a positron, the total mass and charge before and after the reaction must remain the same. By following these rules and checking the sum of the mass and atomic numbers, you can verify if a nuclear equation is accurately balanced.
Isotopes
Isotopes are atoms of the same element that have the same number of protons but a different number of neutrons.

This causes them to have different mass numbers but the same atomic number. Isotopes can be stable or unstable. Unstable isotopes undergo radioactive decay over time, leading to changes in their nuclear composition.

Significance of Isotopes in Nuclear Reactions

Understanding isotopes is essential in nuclear chemistry. Each isotope has its own set of properties that can significantly influence nuclear reactions, like the fusion process mentioned in the exercise. Deuterium, for example, is a stable isotope of hydrogen that plays a key role in nuclear fusion reactions in stars and potential energy sources on Earth.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Chlorine has two stable nuclides, \(^{35} \mathrm{Cl}\) and \(^{37} \mathrm{Cl} .\) In contrast, \(^{36} \mathrm{Cl}\) is a radioactive nuclide that decays by beta emission. (a) What is the product of decay of \(^{36} \mathrm{Cl} ?\) (b) Based on the empirical rules about nuclear stability, explain why the nucleus of \(^{36} \mathrm{C}\) is less stable than either \(^{35}\mathrm{Cl}\) or \(^{37} \mathrm{Cl}\).

The atomic masses of nitrogen-14, titanium-48, and xenon-129 are 13.999234 amu, 47.935878 amu, and 128.90479 amu, respectively. For each isotope, calculate (a) the nuclear mass, (b) the nuclear binding energy, (c) the nuclear binding energy per nucleon.

Which statement best explains why nuclear transmutations involving neutrons are generally easier to accomplish than those involving protons or alpha particles? \begin{equation} \begin{array}{l}{\text { (a) Neutrons are not a magic number particle. }} \\\ {\text { (b) Neutrons do not have an electrical charge. }} \\ {\text { (c) Neutrons are smaller than protons or alpha particles. }} \\ {\text { (d) Neutrons are attracted to the nucleus even at long distances,}} \\ \quad {\text { whereas protons and alpha particles are repelled. }}\end{array} \end{equation}

What particle is produced during the following decay processes: \((\mathbf{a})\) sodium-24 decays to magnesium-24; \((\mathbf{b})\) mercury-188 decays to gold-188; \((\mathbf{c})\)iodine-122 decays to xenon-122; \((\mathbf{d})\) plutonium-242 decays to uranium-238?

The atomic masses of hydrogen-2 (deuterium), helium-4, and lithium-6 are 2.014102 amu, 4.002602 amu, and 6.0151228 amu, respectively. For each isotope, calculate (a) the nuclear mass, (b) the nuclear binding energy, (c) the nuclear binding energy per nucleon. (d) Which of these three isotopes has the largest nuclear binding energy per nucleon? Does this agree with the trends plotted in Figure 21.12\(?\)

See all solutions

Recommended explanations on Chemistry Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free