Determine the atomic mass of potassium, given the information about potassium's stable isotopes. sotope K-39 K-41 mass 38.96370 amu |40.96183 amu percent abundance 93.258% 6.730% First, select the math steps needed to perform this calculation correctly. 39.96370 amu + 40.96183 amu 38.96370 amu x 0.5000 40.96183 amu x 6.730 38.96370 amu x 0.93258 40.96183 amu x 0.06730 38.96370 amu x 93.258 40.96183 amu x 0.5000 Next, perform the calculation and enter your numerical answer here. amu (Enter this answer with three decimal places. It must be exact and will not match the value on the periodic table.)

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**Determining the Atomic Mass of Potassium:**

To determine the atomic mass of potassium, given the information about potassium's stable isotopes:

| Isotope | Mass               | Percent Abundance |
|---------|--------------------|-------------------|
| K-39    | 38.96370 amu       | 93.258%           |
| K-41    | 40.96183 amu       | 6.730%            |

**Step-by-Step Calculation Process:**

**Step 1: Select the appropriate mathematical steps.**

Here are the math steps you need to perform for this calculation correctly:

1. **Multiply the mass of each isotope by its percent abundance (as a decimal):**

   - For K-39: \(38.96370 \, \text{amu} \times 0.93258\)
   - For K-41: \(40.96183 \, \text{amu} \times 0.06730\)

2. **Sum the results of these multiplications to get the average atomic mass of potassium:**

   - \((38.96370 \, \text{amu} \times 0.93258) + (40.96183 \, \text{amu} \times 0.06730)\)

The steps are visually represented in the following options:

- \(38.96370 \, \text{amu} \times 0.93258\)
- \(40.96183 \, \text{amu} \times 0.06730\)

**Step 2: Perform the Calculation and Enter the Answer**

Now, calculate the result using the selected steps:

1. Calculate the individual products:
   - For K-39: \(38.96370 \, \text{amu} \times 0.93258 = 36.34308 \, \text{amu}\)
   - For K-41: \(40.96183 \, \text{amu} \times 0.06730 = 2.75568 \, \text{amu}\)

2. Add the results:
   - \(36.34308 \, \text{amu} + 2.75568 \, \text{amu} = 39.09876 \, \text{amu}\)

**Next, perform the calculation and enter your numerical answer here.**
   
\[ \boxed{39.
Transcribed Image Text:--- **Determining the Atomic Mass of Potassium:** To determine the atomic mass of potassium, given the information about potassium's stable isotopes: | Isotope | Mass | Percent Abundance | |---------|--------------------|-------------------| | K-39 | 38.96370 amu | 93.258% | | K-41 | 40.96183 amu | 6.730% | **Step-by-Step Calculation Process:** **Step 1: Select the appropriate mathematical steps.** Here are the math steps you need to perform for this calculation correctly: 1. **Multiply the mass of each isotope by its percent abundance (as a decimal):** - For K-39: \(38.96370 \, \text{amu} \times 0.93258\) - For K-41: \(40.96183 \, \text{amu} \times 0.06730\) 2. **Sum the results of these multiplications to get the average atomic mass of potassium:** - \((38.96370 \, \text{amu} \times 0.93258) + (40.96183 \, \text{amu} \times 0.06730)\) The steps are visually represented in the following options: - \(38.96370 \, \text{amu} \times 0.93258\) - \(40.96183 \, \text{amu} \times 0.06730\) **Step 2: Perform the Calculation and Enter the Answer** Now, calculate the result using the selected steps: 1. Calculate the individual products: - For K-39: \(38.96370 \, \text{amu} \times 0.93258 = 36.34308 \, \text{amu}\) - For K-41: \(40.96183 \, \text{amu} \times 0.06730 = 2.75568 \, \text{amu}\) 2. Add the results: - \(36.34308 \, \text{amu} + 2.75568 \, \text{amu} = 39.09876 \, \text{amu}\) **Next, perform the calculation and enter your numerical answer here.** \[ \boxed{39.
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