Complete the balanced equation for the nuclear decay of cobalt-65 by filling in the missing charges, mass numbers, and symbols below. X x, Не Co 65

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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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**Title: Balancing Nuclear Decay Equations**

**Content:**

**Objective:**
Complete the balanced equation for the nuclear decay of cobalt-65 by filling in the missing charges, mass numbers, and symbols.

**Equation:**

Cobalt-65 undergoes a nuclear decay process, represented as follows:

\[
\begin{aligned}
 & \, ^{65}_{27}\text{Co} \rightarrow \, ^{65}_{X}\text{X} + \, \text{unknown}
\end{aligned}
\]

**Instructions:**
- Use the given symbols and numbers to complete the equation.
- Remember to conserve both mass number and atomic number on both sides of the equation.

**Components:**
- **x'**: Possible missing atomic number placeholder.
- **x**: Possible missing mass number placeholder.
- **',He'**: Refers to helium, often involved in alpha decay.
- **⟶**: Represents the decay process.
- **δ**: Placeholder for an unidentified particle or number.

**Understanding the Diagram:**
- The equation starts with cobalt-65 (\(^{65}_{27}\text{Co}\)).
- The decay process results in a new element and possibly another particle.
- The known output element retains a mass number of 65 according to the diagram.
- Students are expected to determine the atomic structure and any additional particles that balance the equation.

**Educational Tip:**
When balancing nuclear reactions, ensure the total atomic numbers and mass numbers are equal on both sides of the equation, following the principle of conservation of charge and mass.
Transcribed Image Text:**Title: Balancing Nuclear Decay Equations** **Content:** **Objective:** Complete the balanced equation for the nuclear decay of cobalt-65 by filling in the missing charges, mass numbers, and symbols. **Equation:** Cobalt-65 undergoes a nuclear decay process, represented as follows: \[ \begin{aligned} & \, ^{65}_{27}\text{Co} \rightarrow \, ^{65}_{X}\text{X} + \, \text{unknown} \end{aligned} \] **Instructions:** - Use the given symbols and numbers to complete the equation. - Remember to conserve both mass number and atomic number on both sides of the equation. **Components:** - **x'**: Possible missing atomic number placeholder. - **x**: Possible missing mass number placeholder. - **',He'**: Refers to helium, often involved in alpha decay. - **⟶**: Represents the decay process. - **δ**: Placeholder for an unidentified particle or number. **Understanding the Diagram:** - The equation starts with cobalt-65 (\(^{65}_{27}\text{Co}\)). - The decay process results in a new element and possibly another particle. - The known output element retains a mass number of 65 according to the diagram. - Students are expected to determine the atomic structure and any additional particles that balance the equation. **Educational Tip:** When balancing nuclear reactions, ensure the total atomic numbers and mass numbers are equal on both sides of the equation, following the principle of conservation of charge and mass.
The type of nuclear decay an unstable nucleus will undergo depends on its ratio of neutrons to protons. The radioisotope cobalt-65 has a ratio of neutrons to protons of 1.41, which is too high for a nucleus of this size. What nuclear changes could reduce this ratio?

**Choose one or more:**

- [ ] conversion of one or more protons to electrons
- [ ] conversion of one or more neutrons to protons
- [ ] an increase in the number of protons
- [ ] removing electrons from the valence shell
- [ ] a decrease in atomic number
Transcribed Image Text:The type of nuclear decay an unstable nucleus will undergo depends on its ratio of neutrons to protons. The radioisotope cobalt-65 has a ratio of neutrons to protons of 1.41, which is too high for a nucleus of this size. What nuclear changes could reduce this ratio? **Choose one or more:** - [ ] conversion of one or more protons to electrons - [ ] conversion of one or more neutrons to protons - [ ] an increase in the number of protons - [ ] removing electrons from the valence shell - [ ] a decrease in atomic number
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