3) Calculate the atomic mass of the following element with three isotopes (masses and relative abundances given below). Referring to the periodic table, identify the element. 27.9769 u, 92.2232% 28.9765 u, 4.6858% 29.9738 u, 3.0921%
3) Calculate the atomic mass of the following element with three isotopes (masses and relative abundances given below). Referring to the periodic table, identify the element. 27.9769 u, 92.2232% 28.9765 u, 4.6858% 29.9738 u, 3.0921%
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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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Problem 3: Calculating Atomic Mass from Isotopic Abundances**
Calculate the atomic mass of the following element with three isotopes. The masses and their relative abundances are provided below. Based on your calculations and using the periodic table, identify the element.
- Isotope 1: Mass = 27.9769 u, Abundance = 92.2232%
- Isotope 2: Mass = 28.9765 u, Abundance = 4.6858%
- Isotope 3: Mass = 29.9738 u, Abundance = 3.0921%
**Instructions:**
1. Calculate the average atomic mass using the formula:
\[
\text{Average Atomic Mass} = \left( \frac{\text{Mass of Isotope 1} \times \text{Abundance of Isotope 1}}{100} \right) + \left( \frac{\text{Mass of Isotope 2} \times \text{Abundance of Isotope 2}}{100} \right) + \left( \frac{\text{Mass of Isotope 3} \times \text{Abundance of Isotope 3}}{100} \right)
\]
2. Compare your calculated atomic mass with values in the periodic table to determine the element.
Using this information, you can identify the element based on its average atomic mass.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4621e266-56d0-4bb0-84d9-29c60fad2380%2Fff11f26c-e171-490a-968a-b1e69c3b6234%2Fhlh4k3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 3: Calculating Atomic Mass from Isotopic Abundances**
Calculate the atomic mass of the following element with three isotopes. The masses and their relative abundances are provided below. Based on your calculations and using the periodic table, identify the element.
- Isotope 1: Mass = 27.9769 u, Abundance = 92.2232%
- Isotope 2: Mass = 28.9765 u, Abundance = 4.6858%
- Isotope 3: Mass = 29.9738 u, Abundance = 3.0921%
**Instructions:**
1. Calculate the average atomic mass using the formula:
\[
\text{Average Atomic Mass} = \left( \frac{\text{Mass of Isotope 1} \times \text{Abundance of Isotope 1}}{100} \right) + \left( \frac{\text{Mass of Isotope 2} \times \text{Abundance of Isotope 2}}{100} \right) + \left( \frac{\text{Mass of Isotope 3} \times \text{Abundance of Isotope 3}}{100} \right)
\]
2. Compare your calculated atomic mass with values in the periodic table to determine the element.
Using this information, you can identify the element based on its average atomic mass.
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