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b The relative atomic mass of chlorine is 35.5 . What does this tell you about the relative abundance of the two naturally occurring isotopes of chlorine?

Ask by Welch Gibson. in South Africa
Jan 23,2025

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About three-quarters of chlorine atoms are the lighter isotope **³⁵Cl**, and one-quarter are the heavier isotope **³⁷Cl**.

Solución

The relative atomic mass of chlorine is calculated based on the weighted average of its naturally occurring isotopes. Chlorine has two stable isotopes: 1. **^35Cl** with an atomic mass of 35. 2. **^37Cl** with an atomic mass of 37. Given the relative atomic mass of chlorine is **35.5**, we can set up the following equation to determine the relative abundances: \[ 35x + 37(1 - x) = 35.5 \] Where: - \( x \) is the fraction of **^35Cl**. - \( (1 - x) \) is the fraction of **^37Cl**. Solving for \( x \): \[ 35x + 37 - 37x = 35.5 \\ -2x = -1.5 \\ x = 0.75 \] This means: - **^35Cl** constitutes **75%** of natural chlorine. - **^37Cl** constitutes **25%** of natural chlorine. **Conclusion:** The relative atomic mass of 35.5 indicates that approximately 75% of chlorine atoms are the 35Cl isotope and about 25% are 37Cl. **Answer:** About three‑quarters of chlorine atoms are ³⁵Cl and one quarter are ³⁷Cl in nature.

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Bonus Knowledge

The relative atomic mass of chlorine, 35.5, indicates that it is primarily a mix of two isotopes: chlorine-35 (with an atomic mass of 35) and chlorine-37 (with an atomic mass of 37). This average value suggests that chlorine-35 is more abundant than chlorine-37 since the calculation trends towards the lower mass number. Specifically, for every 100 atoms of chlorine, approximately 75-76 may be chlorine-35, while around 24-25 would be chlorine-37. In practical terms, the existence of these isotopes allows chemists and scientists to use chlorine in various applications, from disinfecting water to synthesizing organic compounds. The balance of these isotopes also plays a crucial role in mass spectrometry, where the presence of different isotopes can affect the readings and the conclusions drawn about chemical processes.

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