Using The Information In The Table, Calculate The Average Atomic Mass Of Strontium. Report Your Answer To Two Decimal Places.$\[ \begin{tabular}{|r|r|r|} \hline \multicolumn{3}{|c|}{Strontium} \\ \hline Isotope & Mass (amu) & Abundance (\%)
Introduction
In chemistry, the average atomic mass of an element is a weighted average of the masses of its naturally occurring isotopes. This value is essential in understanding the properties and behavior of elements in various chemical reactions. In this article, we will calculate the average atomic mass of strontium using the information provided in a table.
Understanding the Table
The table below provides the mass and abundance of strontium isotopes.
| Isotope | Mass (amu) | Abundance (%) |
|---|---|---|
| ⁸⁰Sr | 79.904 | 5.6 |
| ⁸²Sr | 81.918 | 9.86 |
| ⁸⁴Sr | 83.913 | 0.56 |
| ⁸⁶Sr | 85.909 | 83.93 |
| ⁸⁸Sr | 87.62 | 0.65 |
Calculating the Average Atomic Mass
To calculate the average atomic mass of strontium, we need to multiply the mass of each isotope by its abundance (expressed as a decimal) and then sum the results.
Step 1: Convert Abundance to Decimal
First, we need to convert the abundance of each isotope from a percentage to a decimal.
| Isotope | Mass (amu) | Abundance (decimal) |
|---|---|---|
| ⁸⁰Sr | 79.904 | 0.056 |
| ⁸²Sr | 81.918 | 0.0986 |
| ⁸⁴Sr | 83.913 | 0.0056 |
| ⁸⁶Sr | 85.909 | 0.8393 |
| ⁸⁸Sr | 87.62 | 0.0065 |
Step 2: Multiply Mass by Abundance
Next, we multiply the mass of each isotope by its abundance.
| Isotope | Mass (amu) | Abundance (decimal) | Product |
|---|---|---|---|
| ⁸⁰Sr | 79.904 | 0.056 | 4.46 |
| ⁸²Sr | 81.918 | 0.0986 | 8.09 |
| ⁸⁴Sr | 83.913 | 0.0056 | 0.47 |
| ⁸⁶Sr | 85.909 | 0.8393 | 72.04 |
| ⁸⁸Sr | 87.62 | 0.0065 | 0.57 |
Step 3: Sum the Products
Finally, we sum the products to get the average atomic mass of strontium.
Average atomic mass = 4.46 + 8.09 + 0.47 + 72.04 + 0.57 = 85.63
Conclusion
The average atomic mass of strontium is 85.63 amu, rounded to two decimal places.
Importance of Average Atomic Mass
The average atomic mass of an element is essential in understanding its properties and behavior in various chemical reactions. It is used to calculate the molar mass of compounds and to predict the behavior of elements in different chemical reactions.
Limitations of the Calculation
The calculation of average atomic mass assumes that the isotopes are present in their natural abundance. However, the abundance of isotopes can vary depending on the source of the element and the method of production.
Future Research Directions
Further research is needed to understand the variations in the abundance of strontium isotopes and their impact on the average atomic mass. Additionally, the calculation of average atomic mass can be improved by using more precise values for the masses and abundances of the isotopes.
Conclusion
In conclusion, the average atomic mass of strontium is 85.63 amu, rounded to two decimal places. This value is essential in understanding the properties and behavior of strontium in various chemical reactions. Further research is needed to improve the accuracy of the calculation and to understand the variations in the abundance of strontium isotopes.
Q: What is the average atomic mass of strontium?
A: The average atomic mass of strontium is 85.63 amu, rounded to two decimal places.
Q: Why is the average atomic mass of strontium important?
A: The average atomic mass of strontium is essential in understanding its properties and behavior in various chemical reactions. It is used to calculate the molar mass of compounds and to predict the behavior of elements in different chemical reactions.
Q: How is the average atomic mass of strontium calculated?
A: The average atomic mass of strontium is calculated by multiplying the mass of each isotope by its abundance (expressed as a decimal) and then summing the results.
Q: What are the common isotopes of strontium?
A: The common isotopes of strontium are ⁸⁰Sr, ⁸²Sr, ⁸⁴Sr, ⁸⁶Sr, and ⁸⁸Sr.
Q: What is the mass of each isotope of strontium?
A: The masses of the isotopes of strontium are:
- ⁸⁰Sr: 79.904 amu
- ⁸²Sr: 81.918 amu
- ⁸⁴Sr: 83.913 amu
- ⁸⁶Sr: 85.909 amu
- ⁸⁸Sr: 87.62 amu
Q: What is the abundance of each isotope of strontium?
A: The abundances of the isotopes of strontium are:
- ⁸⁰Sr: 5.6%
- ⁸²Sr: 9.86%
- ⁸⁴Sr: 0.56%
- ⁸⁶Sr: 83.93%
- ⁸⁸Sr: 0.65%
Q: How do I convert the abundance of each isotope from a percentage to a decimal?
A: To convert the abundance of each isotope from a percentage to a decimal, divide the percentage by 100.
Q: What is the product of the mass and abundance of each isotope?
A: The products of the mass and abundance of each isotope are:
- ⁸⁰Sr: 4.46
- ⁸²Sr: 8.09
- ⁸⁴Sr: 0.47
- ⁸⁶Sr: 72.04
- ⁸⁸Sr: 0.57
Q: How do I sum the products to get the average atomic mass of strontium?
A: To sum the products, add the values together: 4.46 + 8.09 + 0.47 + 72.04 + 0.57 = 85.63
Q: What are the limitations of the calculation of the average atomic mass of strontium?
A: The calculation of the average atomic mass of strontium assumes that the isotopes are present in their natural abundance. However, the abundance of isotopes can vary depending on the source of the element and the method of production.
Q: What are the future research directions for the calculation of the average atomic mass of strontium?
A: Further research is needed to understand the variations in the abundance of strontium isotopes and their impact on the average atomic mass. Additionally, the calculation of the average atomic mass can be improved by using more precise values for the masses and abundances of the isotopes.
Q: Why is it essential to understand the properties and behavior of strontium in various chemical reactions?
A: Understanding the properties and behavior of strontium in various chemical reactions is essential for predicting the behavior of elements in different chemical reactions and for calculating the molar mass of compounds.
Q: What are the applications of the average atomic mass of strontium?
A: The average atomic mass of strontium has applications in various fields, including chemistry, physics, and materials science. It is used to calculate the molar mass of compounds and to predict the behavior of elements in different chemical reactions.