2. A naturally occurring sample of argon contains 2696 atoms of Ar, 504 atoms of Ar, and 7.968 X 10 atoms of "Ar. What is the percent abundance of the most abundant isotope? (a) 99.60% (b) 95.08% (c) 71.35% (d) 99.92 %
2. A naturally occurring sample of argon contains 2696 atoms of Ar, 504 atoms of Ar, and 7.968 X 10 atoms of "Ar. What is the percent abundance of the most abundant isotope? (a) 99.60% (b) 95.08% (c) 71.35% (d) 99.92 %
Chemistry
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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
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Question
![**Question:**
A naturally occurring sample of argon contains 2696 atoms of \(^{36}\text{Ar}\), 504 atoms of \(^{38}\text{Ar}\), and \(7.968 \times 10^6\) atoms of \(^{40}\text{Ar}\). What is the percent abundance of the most abundant isotope?
**Options:**
(a) 99.60%
(b) 95.08%
(c) 71.35%
(d) 99.92%
**Explanation:**
To determine the percent abundance of each isotope, you first need the total number of argon atoms:
- Total number of atoms = 2696 (for \(^{36}\text{Ar}\)) + 504 (for \(^{38}\text{Ar}\)) + \(7.968 \times 10^6\) (for \(^{40}\text{Ar}\)).
Next, calculate the percent abundance of each isotope using the formula:
\[ \text{Percent abundance} = \left(\frac{\text{Number of atoms of a particular isotope}}{\text{Total number of atoms}}\right) \times 100 \]
Finally, identify which isotope has the highest percent abundance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9182e60c-e2db-4f39-9b13-d83247eb4f35%2Fa598f6c3-3a90-4066-8efe-b598a87a2275%2Fczdf5d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
A naturally occurring sample of argon contains 2696 atoms of \(^{36}\text{Ar}\), 504 atoms of \(^{38}\text{Ar}\), and \(7.968 \times 10^6\) atoms of \(^{40}\text{Ar}\). What is the percent abundance of the most abundant isotope?
**Options:**
(a) 99.60%
(b) 95.08%
(c) 71.35%
(d) 99.92%
**Explanation:**
To determine the percent abundance of each isotope, you first need the total number of argon atoms:
- Total number of atoms = 2696 (for \(^{36}\text{Ar}\)) + 504 (for \(^{38}\text{Ar}\)) + \(7.968 \times 10^6\) (for \(^{40}\text{Ar}\)).
Next, calculate the percent abundance of each isotope using the formula:
\[ \text{Percent abundance} = \left(\frac{\text{Number of atoms of a particular isotope}}{\text{Total number of atoms}}\right) \times 100 \]
Finally, identify which isotope has the highest percent abundance.
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