Select The Correct Answer.Copper Exists In Nature As Two Isotopes. The Atomic Masses And Relative Abundances Of These Isotopes Are Given In The Table. What Is The Average Atomic Mass Of Copper?\begin{tabular}{|c|c|c|}\hlineIsotope & Relative Abundance
Understanding Isotopes and Average Atomic Mass
In chemistry, isotopes are atoms of the same element that have the same number of protons in their atomic nuclei but differ in the number of neutrons. This variation in neutron number affects the atomic mass of the isotopes. The average atomic mass of an element is a weighted average of the masses of its naturally occurring isotopes, taking into account their relative abundances.
The Table of Copper Isotopes
| Isotope | Relative Abundance |
|---|---|
| 63Cu | 69.2% |
| 65Cu | 30.8% |
Calculating the Average Atomic Mass
To calculate the average atomic mass of copper, we need to multiply the mass of each isotope by its relative abundance and then add the results.
Step 1: Convert Relative Abundance to Decimal Form
First, we need to convert the relative abundance of each isotope from percentage to decimal form.
- 69.2% = 0.692
- 30.8% = 0.308
Step 2: Multiply Mass by Relative Abundance
Next, we multiply the mass of each isotope by its relative abundance.
- 63Cu: 63 g/mol x 0.692 = 43.56 g/mol
- 65Cu: 65 g/mol x 0.308 = 20.04 g/mol
Step 3: Add the Results
Finally, we add the results to get the average atomic mass of copper.
- Average atomic mass = 43.56 g/mol + 20.04 g/mol = 63.60 g/mol
Conclusion
In conclusion, the average atomic mass of copper is 63.60 g/mol. This value is a weighted average of the masses of the naturally occurring isotopes of copper, taking into account their relative abundances.
Why is Average Atomic Mass Important?
The average atomic mass of an element is an important concept in chemistry because it allows us to calculate the mass of a sample of the element. This is particularly useful in quantitative analysis, where we need to determine the amount of a substance present in a sample.
Real-World Applications
The average atomic mass of copper has several real-world applications. For example, in the production of copper wire, the average atomic mass is used to calculate the mass of copper required to produce a given length of wire. In addition, the average atomic mass is used in the calculation of the density of copper, which is an important property in the design of copper-based materials.
Common Misconceptions
There are several common misconceptions about the average atomic mass of copper. One misconception is that the average atomic mass is the same as the mass of a single atom of copper. However, this is not the case, as the average atomic mass is a weighted average of the masses of the naturally occurring isotopes.
Conclusion
In conclusion, the average atomic mass of copper is an important concept in chemistry that has several real-world applications. By understanding the average atomic mass, we can calculate the mass of a sample of copper and determine its density. This knowledge is essential in the production of copper-based materials and in the design of copper-based products.
Frequently Asked Questions
Q: What is the average atomic mass of copper?
A: The average atomic mass of copper is 63.60 g/mol.
Q: Why is the average atomic mass of copper important?
A: The average atomic mass of copper is important because it allows us to calculate the mass of a sample of copper and determine its density.
Q: How is the average atomic mass of copper calculated?
A: The average atomic mass of copper is calculated by multiplying the mass of each isotope by its relative abundance and then adding the results.
Q: What are the real-world applications of the average atomic mass of copper?
Q: What is the average atomic mass of copper?
A: The average atomic mass of copper is 63.60 g/mol.
Q: Why is the average atomic mass of copper important?
A: The average atomic mass of copper is important because it allows us to calculate the mass of a sample of copper and determine its density. This knowledge is essential in the production of copper-based materials and in the design of copper-based products.
Q: How is the average atomic mass of copper calculated?
A: The average atomic mass of copper is calculated by multiplying the mass of each isotope by its relative abundance and then adding the results. This involves converting the relative abundance of each isotope from percentage to decimal form, multiplying the mass of each isotope by its relative abundance, and then adding the results.
Q: What are the real-world applications of the average atomic mass of copper?
A: The average atomic mass of copper has several real-world applications, including:
- The production of copper wire: The average atomic mass of copper is used to calculate the mass of copper required to produce a given length of wire.
- The calculation of the density of copper-based materials: The average atomic mass of copper is used to determine the density of copper-based materials, which is an important property in the design of copper-based products.
- The analysis of copper-based samples: The average atomic mass of copper is used in the analysis of copper-based samples, such as in the determination of the amount of copper present in a sample.
Q: What are the common misconceptions about the average atomic mass of copper?
A: There are several common misconceptions about the average atomic mass of copper, including:
- The average atomic mass of copper is the same as the mass of a single atom of copper. However, this is not the case, as the average atomic mass is a weighted average of the masses of the naturally occurring isotopes.
- The average atomic mass of copper is only important in the production of copper-based materials. However, the average atomic mass of copper is also important in the analysis of copper-based samples and in the calculation of the density of copper-based materials.
Q: How does the average atomic mass of copper compare to the mass of a single atom of copper?
A: The average atomic mass of copper is a weighted average of the masses of the naturally occurring isotopes of copper. This means that the average atomic mass of copper is not the same as the mass of a single atom of copper. Instead, it is a value that takes into account the relative abundance of each isotope.
Q: What are the implications of the average atomic mass of copper for the production of copper-based materials?
A: The average atomic mass of copper has several implications for the production of copper-based materials, including:
- The need to calculate the mass of copper required to produce a given length of wire.
- The need to determine the density of copper-based materials.
- The need to analyze copper-based samples to determine the amount of copper present.
Q: What are the implications of the average atomic mass of copper for the analysis of copper-based samples?
A: The average atomic mass of copper has several implications for the analysis of copper-based samples, including:
- The need to determine the amount of copper present in a sample.
- The need to calculate the density of copper-based materials.
- The need to analyze copper-based samples to determine the presence of other elements.
Q: How does the average atomic mass of copper compare to the average atomic mass of other elements?
A: The average atomic mass of copper is a unique value that is specific to the element copper. However, the average atomic mass of copper can be compared to the average atomic mass of other elements in terms of its magnitude and significance. For example, the average atomic mass of copper is higher than the average atomic mass of some other transition metals, such as iron and nickel.
Q: What are the limitations of the average atomic mass of copper?
A: The average atomic mass of copper has several limitations, including:
- The need to assume that the relative abundance of each isotope is known with certainty.
- The need to assume that the mass of each isotope is known with certainty.
- The need to account for the presence of other elements in the sample.
Q: How can the average atomic mass of copper be used in the design of copper-based products?
A: The average atomic mass of copper can be used in the design of copper-based products in several ways, including:
- The calculation of the density of copper-based materials.
- The determination of the amount of copper present in a sample.
- The analysis of copper-based samples to determine the presence of other elements.
Q: What are the future directions for research on the average atomic mass of copper?
A: There are several future directions for research on the average atomic mass of copper, including:
- The development of new methods for calculating the average atomic mass of copper.
- The analysis of copper-based samples to determine the presence of other elements.
- The design of copper-based products that take into account the average atomic mass of copper.