What element should go in the empty box in this equation? 10 As → B+O 33

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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What element should go in the empty box in this equation ?

**Transcription for Educational Website:**

---

**Quiz Question:**

*What element should go in the empty box in this equation?* 

**Equation:**

\[
\begin{array}{c}
^{79}_{33}\text{As} \rightarrow ^{0}_{-1}\beta + \square
\end{array}
\]

*10 points*

---

**Explanation of Equation:**

The equation presented is a nuclear reaction involving beta decay. In this process:

- **Beta Particle (\( \beta \)):** The beta particle is represented as \( ^{0}_{-1}\beta \). This indicates the emission of an electron (beta particle) from the nucleus.

- **Arsenic Isotope (\( ^{79}_{33}\text{As} \)):** The arsenic isotope has an atomic number of 33 and a mass number of 79.

**To solve the equation:**

1. **Mass Number Conservation:** The mass number on both sides of the equation must be equal. Arsenic has a mass number of 79. The beta particle has a mass number of 0. Hence, the resulting element will also have a mass number of 79.

2. **Atomic Number Conservation:** The atomic number on both sides must be equal. Arsenic has an atomic number of 33. A beta particle (electron) has an atomic number of -1. Therefore, the resulting element must have an atomic number of 34 (33 - (-1) = 34).

Based on the periodic table, the element with atomic number 34 is Selenium (\( \text{Se} \)).

**Diagram Explanation:**

- The diagram shows the nuclear equation and asks for the missing element in the equation.
- A box is shown in place of the element to be identified.

**Conclusion:**

The element that should go in the empty box in the equation is Selenium (\( ^{79}_{34}\text{Se} \)).

---
Transcribed Image Text:**Transcription for Educational Website:** --- **Quiz Question:** *What element should go in the empty box in this equation?* **Equation:** \[ \begin{array}{c} ^{79}_{33}\text{As} \rightarrow ^{0}_{-1}\beta + \square \end{array} \] *10 points* --- **Explanation of Equation:** The equation presented is a nuclear reaction involving beta decay. In this process: - **Beta Particle (\( \beta \)):** The beta particle is represented as \( ^{0}_{-1}\beta \). This indicates the emission of an electron (beta particle) from the nucleus. - **Arsenic Isotope (\( ^{79}_{33}\text{As} \)):** The arsenic isotope has an atomic number of 33 and a mass number of 79. **To solve the equation:** 1. **Mass Number Conservation:** The mass number on both sides of the equation must be equal. Arsenic has a mass number of 79. The beta particle has a mass number of 0. Hence, the resulting element will also have a mass number of 79. 2. **Atomic Number Conservation:** The atomic number on both sides must be equal. Arsenic has an atomic number of 33. A beta particle (electron) has an atomic number of -1. Therefore, the resulting element must have an atomic number of 34 (33 - (-1) = 34). Based on the periodic table, the element with atomic number 34 is Selenium (\( \text{Se} \)). **Diagram Explanation:** - The diagram shows the nuclear equation and asks for the missing element in the equation. - A box is shown in place of the element to be identified. **Conclusion:** The element that should go in the empty box in the equation is Selenium (\( ^{79}_{34}\text{Se} \)). ---
Expert Solution
Step 1

We have to determine what element will fill the empty box for the beta decay reaction of As-79 as given below :

As3379    β-10  +  

In a beta decay reaction, a beta particle β-10 is ejected by the nucleus of an element thereby forming a new

nucleus that is more stable.

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