Consider The Balanced Equation:${ CuSO_4 + Zn \rightarrow ZnSO_4 + Cu }$If 200.0 G Of Copper(II) Sulfate React With An Excess Of Zinc Metal, What Is The Theoretical Yield Of Copper?A. 1.253 G B. 50.72 G C. 79.63 G D. 194.3 G
Understanding the Balanced Equation
The given balanced chemical equation is:
{ CuSO_4 + Zn \rightarrow ZnSO_4 + Cu \}
This equation represents the reaction between copper(II) sulfate (CuSO4) and zinc metal (Zn) to produce zinc sulfate (ZnSO4) and copper (Cu). The balanced equation indicates that one mole of CuSO4 reacts with one mole of Zn to produce one mole of ZnSO4 and one mole of Cu.
Calculating the Theoretical Yield of Copper
To calculate the theoretical yield of copper, we need to determine the number of moles of copper produced in the reaction. We can do this by using the molar masses of the reactants and products.
The molar mass of CuSO4 is 159.61 g/mol, and the molar mass of Zn is 65.38 g/mol. The molar mass of Cu is 63.55 g/mol.
We are given that 200.0 g of CuSO4 react with an excess of zinc metal. To calculate the number of moles of CuSO4, we can use the following formula:
moles = mass / molar mass
moles of CuSO4 = 200.0 g / 159.61 g/mol = 1.253 mol
Since the balanced equation indicates that one mole of CuSO4 produces one mole of Cu, the number of moles of Cu produced is also 1.253 mol.
To calculate the mass of Cu produced, we can use the following formula:
mass = moles x molar mass
mass of Cu = 1.253 mol x 63.55 g/mol = 79.63 g
Therefore, the theoretical yield of copper is 79.63 g.
Comparison with Other Options
Let's compare our calculated value with the other options:
A. 1.253 g: This is the number of moles of CuSO4, not the mass of Cu.
B. 50.72 g: This is not the correct value.
C. 79.63 g: This is the correct value.
D. 194.3 g: This is not the correct value.
Conclusion
In conclusion, the theoretical yield of copper in the reaction between 200.0 g of copper(II) sulfate and an excess of zinc metal is 79.63 g. This value is calculated by determining the number of moles of CuSO4 and then using the balanced equation to find the number of moles of Cu produced. The mass of Cu produced is then calculated using the molar mass of Cu.
Key Takeaways
- The balanced chemical equation is essential in determining the theoretical yield of a product.
- The molar masses of the reactants and products are necessary in calculating the number of moles and mass of the product.
- The theoretical yield of a product is the maximum amount of product that can be produced in a reaction, assuming 100% efficiency.
Additional Resources
For more information on balanced chemical equations and theoretical yields, please refer to the following resources:
Practice Problems
Try the following practice problems to test your understanding of balanced chemical equations and theoretical yields:
- What is the theoretical yield of zinc in the reaction between 100.0 g of zinc sulfate and an excess of copper metal?
- What is the theoretical yield of copper(II) sulfate in the reaction between 50.0 g of copper and an excess of oxygen gas?
Answer Key
- 16.67 g
- 25.00 g
Q&A: Theoretical Yield of Copper in a Balanced Chemical Equation ====================================================================
Frequently Asked Questions
Q: What is the theoretical yield of copper in the reaction between 200.0 g of copper(II) sulfate and an excess of zinc metal? A: The theoretical yield of copper is 79.63 g.
Q: How do I calculate the theoretical yield of copper? A: To calculate the theoretical yield of copper, you need to determine the number of moles of copper(II) sulfate and then use the balanced equation to find the number of moles of copper produced. The mass of copper produced is then calculated using the molar mass of copper.
Q: What is the molar mass of copper(II) sulfate? A: The molar mass of copper(II) sulfate is 159.61 g/mol.
Q: What is the molar mass of zinc? A: The molar mass of zinc is 65.38 g/mol.
Q: What is the molar mass of copper? A: The molar mass of copper is 63.55 g/mol.
Q: How do I determine the number of moles of copper(II) sulfate? A: To determine the number of moles of copper(II) sulfate, you can use the following formula:
moles = mass / molar mass
moles of CuSO4 = 200.0 g / 159.61 g/mol = 1.253 mol
Q: How do I determine the number of moles of copper produced? A: Since the balanced equation indicates that one mole of copper(II) sulfate produces one mole of copper, the number of moles of copper produced is also 1.253 mol.
Q: How do I calculate the mass of copper produced? A: To calculate the mass of copper produced, you can use the following formula:
mass = moles x molar mass
mass of Cu = 1.253 mol x 63.55 g/mol = 79.63 g
Q: What is the difference between the theoretical yield and the actual yield? A: The theoretical yield is the maximum amount of product that can be produced in a reaction, assuming 100% efficiency. The actual yield is the amount of product that is actually produced in a reaction, which may be less than the theoretical yield due to various factors such as impurities, equipment limitations, and human error.
Q: How can I improve the actual yield of a product? A: To improve the actual yield of a product, you can try to minimize impurities, optimize equipment and reaction conditions, and reduce human error. You can also try to use more efficient methods or techniques to produce the product.
Q: What are some common mistakes to avoid when calculating the theoretical yield of a product? A: Some common mistakes to avoid when calculating the theoretical yield of a product include:
- Not using the correct molar masses of the reactants and products
- Not determining the correct number of moles of the reactants and products
- Not using the correct balanced equation
- Not considering the limitations of the reaction and equipment
Q: How can I practice calculating the theoretical yield of a product? A: You can practice calculating the theoretical yield of a product by trying the following:
- Use online resources or textbooks to find examples of balanced chemical equations and theoretical yield calculations
- Try to calculate the theoretical yield of a product using a given balanced chemical equation and molar masses
- Compare your answers with the correct answers to check your work
- Try to identify and correct any mistakes you make
Conclusion
In conclusion, calculating the theoretical yield of a product is an essential skill in chemistry that requires attention to detail and a thorough understanding of balanced chemical equations and molar masses. By following the steps outlined in this article and practicing with examples, you can improve your skills and become more confident in your ability to calculate the theoretical yield of a product.