Question
upstudy study bank question image url

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

Real Tutor Solution

Tutor-Verified Answer

Answer

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

Solution

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.

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

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.

Latest Chemistry Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy