Determine the missing element 16S------1°e + 35 5---

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Title:** Determine the Missing Element

**Description:** In this exercise, we aim to identify the missing element in a nuclear equation. 

**Nuclear Equation:**
\[
\text{----} \, ^{35}_{16}\text{S} \longrightarrow \, ^{-1}_{0}\text{e} + \, \text{?}
\]

**Explanation:**
The given nuclear equation represents the beta decay process wherein a sulfur-35 (\(^{35}_{16}\text{S}\)) nucleus undergoes beta decay to emit a beta particle (\(^{-1}_{0}\text{e}\)), which is an electron. A beta particle has a mass number of 0 and an atomic number of -1.

To find the missing element, balance both the mass numbers and atomic numbers on both sides of the equation:
- The mass number on the left side is 35, therefore the sum of the mass numbers on the right side must also be 35.
- The atomic number on the left side is 16. Since the beta particle has an atomic number of -1, the missing element must have an atomic number of \(16 - (-1) = 17\).

Thus, the missing element has an atomic number of 17 and a mass number of 35.

The missing element in this nuclear equation is chlorine-35 (\(^{35}_{17}\text{Cl}\)).

**Complete Nuclear Equation:**
\[
^{35}_{16}\text{S} \longrightarrow \, ^{-1}_{0}\text{e} + \, ^{35}_{17}\text{Cl}
\]

**Conclusion:**
The missing element in the provided nuclear equation is chlorine-35.
Transcribed Image Text:**Title:** Determine the Missing Element **Description:** In this exercise, we aim to identify the missing element in a nuclear equation. **Nuclear Equation:** \[ \text{----} \, ^{35}_{16}\text{S} \longrightarrow \, ^{-1}_{0}\text{e} + \, \text{?} \] **Explanation:** The given nuclear equation represents the beta decay process wherein a sulfur-35 (\(^{35}_{16}\text{S}\)) nucleus undergoes beta decay to emit a beta particle (\(^{-1}_{0}\text{e}\)), which is an electron. A beta particle has a mass number of 0 and an atomic number of -1. To find the missing element, balance both the mass numbers and atomic numbers on both sides of the equation: - The mass number on the left side is 35, therefore the sum of the mass numbers on the right side must also be 35. - The atomic number on the left side is 16. Since the beta particle has an atomic number of -1, the missing element must have an atomic number of \(16 - (-1) = 17\). Thus, the missing element has an atomic number of 17 and a mass number of 35. The missing element in this nuclear equation is chlorine-35 (\(^{35}_{17}\text{Cl}\)). **Complete Nuclear Equation:** \[ ^{35}_{16}\text{S} \longrightarrow \, ^{-1}_{0}\text{e} + \, ^{35}_{17}\text{Cl} \] **Conclusion:** The missing element in the provided nuclear equation is chlorine-35.
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