8) A pure sample of an element was vaporized and injected into a mass spectrometer and the data was plotted on the graph below. The mass values for the isotopes were found to be: A-24 (23.985 amu), A-25 (24.986 amu), and A-26 (25.983). Find the average atomic mass and identify the element. 78.99 Percent Abundance 90 SO 70 60 50 40 30 20 10 0- gr 24 10.00 11.01 26 25 Mass Number 0.00 27 Show proper work!

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**Mass Spectrometry and Isotopic Analysis**

**Problem Statement:**

A pure sample of an element was vaporized and injected into a mass spectrometer, and the data was plotted on the graph shown. The mass values for the isotopes were found to be: 

- A-24: 23.985 amu
- A-25: 24.986 amu
- A-26: 25.983 amu

Find the average atomic mass and identify the element.

**Graph Explanation:**

The graph displays the percent abundance of each isotope of the element along the y-axis, which ranges from 0 to 90 percent. The x-axis represents the mass number of the isotopes:

- Isotope A-24 has a percent abundance of 78.99%.
- Isotope A-25 has a percent abundance of 10.00%.
- Isotope A-26 has a percent abundance of 11.01%.

**Instructions:**

To calculate the average atomic mass, multiply the mass of each isotope by its relative abundance (expressed as a decimal), and then sum these values.

**Calculation Steps:**

1. Convert percentages to decimals:
   - A-24: 0.7899
   - A-25: 0.1000
   - A-26: 0.1101

2. Calculate the contributions of each isotope to the average atomic mass:
   - Contribution of A-24: \(23.985 \, \text{amu} \times 0.7899\)
   - Contribution of A-25: \(24.986 \, \text{amu} \times 0.1000\)
   - Contribution of A-26: \(25.983 \, \text{amu} \times 0.1101\)

3. Sum the contributions to find the average atomic mass.

4. Use the resulting average atomic mass to identify the element.

Finally, ensure to show all work as instructed in the note beside the graph.

**Note:**
- Proper documentation and calculation are essential for identifying the element based on the given isotopic data.
Transcribed Image Text:**Mass Spectrometry and Isotopic Analysis** **Problem Statement:** A pure sample of an element was vaporized and injected into a mass spectrometer, and the data was plotted on the graph shown. The mass values for the isotopes were found to be: - A-24: 23.985 amu - A-25: 24.986 amu - A-26: 25.983 amu Find the average atomic mass and identify the element. **Graph Explanation:** The graph displays the percent abundance of each isotope of the element along the y-axis, which ranges from 0 to 90 percent. The x-axis represents the mass number of the isotopes: - Isotope A-24 has a percent abundance of 78.99%. - Isotope A-25 has a percent abundance of 10.00%. - Isotope A-26 has a percent abundance of 11.01%. **Instructions:** To calculate the average atomic mass, multiply the mass of each isotope by its relative abundance (expressed as a decimal), and then sum these values. **Calculation Steps:** 1. Convert percentages to decimals: - A-24: 0.7899 - A-25: 0.1000 - A-26: 0.1101 2. Calculate the contributions of each isotope to the average atomic mass: - Contribution of A-24: \(23.985 \, \text{amu} \times 0.7899\) - Contribution of A-25: \(24.986 \, \text{amu} \times 0.1000\) - Contribution of A-26: \(25.983 \, \text{amu} \times 0.1101\) 3. Sum the contributions to find the average atomic mass. 4. Use the resulting average atomic mass to identify the element. Finally, ensure to show all work as instructed in the note beside the graph. **Note:** - Proper documentation and calculation are essential for identifying the element based on the given isotopic data.
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