A Chemistry student at Agora is calculating the average atomic mass of Potassium using the following data. Isotope K-39 K-41 Relative abundance 93.12 % 6.88 % Their setup and calculation are. Mass (amu) 38.964 40.962 X Atomic Mass 38.964 amu 40.962 amu Relative Abundance (% divide by 100) 0.0688 What did the student do incorrectly? Use CER! 0.9312 = 2.681 = 38.144 40.823 amu The student calculated the average atomic mass to be 40.823 amu but it is 39.098 amu on the periodic table.
A Chemistry student at Agora is calculating the average atomic mass of Potassium using the following data. Isotope K-39 K-41 Relative abundance 93.12 % 6.88 % Their setup and calculation are. Mass (amu) 38.964 40.962 X Atomic Mass 38.964 amu 40.962 amu Relative Abundance (% divide by 100) 0.0688 What did the student do incorrectly? Use CER! 0.9312 = 2.681 = 38.144 40.823 amu The student calculated the average atomic mass to be 40.823 amu but it is 39.098 amu on the periodic table.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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What did the student do incorrectly
Use CER!
Claim: (answer the question)
Evidence: (point readers to the part of the image that supports your claim)
Reasoning: (define and use the definition to support why you pointed to that part of the image.)
An example of a chemistry CER is the second image.

Transcribed Image Text:**CLAIM:** (Answer the question.)
The half-life is about 11 seconds.
---
**EVIDENCE:** (Point readers to the part of the image that supports your claim.)
We have to locate the amount of radioactive material (nuclei) and we need to find its quantity 50%. So, point y-axis at 50% and move your pointer towards time which is on the x-axis and note. Doing this I found that the half-life is 11 seconds.
---
**REASONING:** (Define half-life and use this definition to support why you pointed to a specific part of the image to make your claim.)
Half-life is the time it takes for half of the original amount of a radioactive sample to decay. On the y-axis, when undecayed nuclei is 50%, it means 50% of nuclei has reacted and it gives the half-life of an isotope.

Transcribed Image Text:**Title: Average Atomic Mass Calculation of Potassium**
A Chemistry student at Agora is calculating the average atomic mass of Potassium using the following data:
| Isotope | Relative Abundance | Atomic Mass (amu) |
|---------|---------------------|-------------------|
| K-39 | 93.12% | 38.964 |
| K-41 | 6.88% | 40.962 |
**Setup and Calculation:**
The student's setup involves multiplying the atomic mass of each isotope by its relative abundance (converted to a decimal), and then summing these values to find the average atomic mass.
| Mass (amu) | x Relative Abundance (% divided by 100) | Result |
|------------|----------------------------------------|------------|
| 38.964 | 0.0688 | = 2.681 |
| 40.962 | 0.9312 | = 38.144 |
| **Average Atomic Mass** | | **40.823 amu** |
**Discussion:**
The student calculated the average atomic mass to be 40.823 amu, but according to the periodic table, it is 39.098 amu.
**Question:**
What did the student do incorrectly? Use CER (Claim, Evidence, Reasoning) to explain the mistake.
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