Calcium Carbonate Undergoes Thermal Decomposition On Heating As Shown Below. If 14 G Of Calcium Oxide ( { \text{CaO} $}$) Is Produced, How Much Calcium Carbonate Must There Have Been To Begin With? Use The Table Below To Help You Work Out

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Understanding the Chemical Reaction

Calcium carbonate (CaCO3) is a chemical compound that undergoes thermal decomposition when heated. This process involves the breakdown of calcium carbonate into calcium oxide (CaO) and carbon dioxide (CO2). The chemical equation for this reaction is:

CaCO3→CaO+CO2\text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2

Given Information

We are given that 14 g of calcium oxide (CaO) is produced as a result of the thermal decomposition of calcium carbonate. We need to determine the amount of calcium carbonate that must have been present initially.

Molar Mass of Calcium Carbonate and Calcium Oxide

To solve this problem, we need to know the molar masses of calcium carbonate (CaCO3) and calcium oxide (CaO). The molar masses are:

  • Calcium carbonate (CaCO3): 100.09 g/mol
  • Calcium oxide (CaO): 56.08 g/mol

Calculating the Number of Moles of Calcium Oxide

We can calculate the number of moles of calcium oxide (CaO) produced using the formula:

moles=massmolar mass\text{moles} = \frac{\text{mass}}{\text{molar mass}}

Plugging in the values, we get:

moles of CaO=14 g56.08 g/mol=0.25 mol\text{moles of CaO} = \frac{14 \text{ g}}{56.08 \text{ g/mol}} = 0.25 \text{ mol}

Using the Chemical Equation to Find the Number of Moles of Calcium Carbonate

From the chemical equation, we can see that 1 mole of calcium carbonate (CaCO3) produces 1 mole of calcium oxide (CaO). Therefore, the number of moles of calcium carbonate (CaCO3) that must have been present initially is equal to the number of moles of calcium oxide (CaO) produced.

moles of CaCO3=moles of CaO=0.25 mol\text{moles of CaCO}_3 = \text{moles of CaO} = 0.25 \text{ mol}

Calculating the Mass of Calcium Carbonate

Now that we know the number of moles of calcium carbonate (CaCO3), we can calculate its mass using the formula:

mass=moles×molar mass\text{mass} = \text{moles} \times \text{molar mass}

Plugging in the values, we get:

mass of CaCO3=0.25 mol×100.09 g/mol=25.02 g\text{mass of CaCO}_3 = 0.25 \text{ mol} \times 100.09 \text{ g/mol} = 25.02 \text{ g}

Conclusion

Therefore, the amount of calcium carbonate that must have been present initially to produce 14 g of calcium oxide (CaO) is 25.02 g.

Discussion

The thermal decomposition of calcium carbonate is an important chemical reaction that has various applications in industries such as construction, paper manufacturing, and water treatment. Understanding the chemical equation and the molar masses of the reactants and products is crucial in solving problems related to this reaction.

Chemical Equation and Molar Masses

Compound Chemical Formula Molar Mass (g/mol)
Calcium carbonate CaCO3 100.09
Calcium oxide CaO 56.08
Carbon dioxide CO2 44.01

Calculations

Step Formula Calculation
1 moles = mass / molar mass moles of CaO = 14 g / 56.08 g/mol = 0.25 mol
2 moles of CaCO3 = moles of CaO moles of CaCO3 = 0.25 mol
3 mass = moles x molar mass mass of CaCO3 = 0.25 mol x 100.09 g/mol = 25.02 g

Conclusion

Frequently Asked Questions

Q: What is thermal decomposition?

A: Thermal decomposition is a chemical reaction that involves the breakdown of a compound into simpler substances when heated.

Q: What is the chemical equation for the thermal decomposition of calcium carbonate?

A: The chemical equation for the thermal decomposition of calcium carbonate is:

CaCO3→CaO+CO2\text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2

Q: What is the molar mass of calcium carbonate (CaCO3)?

A: The molar mass of calcium carbonate (CaCO3) is 100.09 g/mol.

Q: What is the molar mass of calcium oxide (CaO)?

A: The molar mass of calcium oxide (CaO) is 56.08 g/mol.

Q: How do I calculate the number of moles of calcium oxide (CaO) produced?

A: To calculate the number of moles of calcium oxide (CaO) produced, you can use the formula:

moles=massmolar mass\text{moles} = \frac{\text{mass}}{\text{molar mass}}

Q: How do I calculate the number of moles of calcium carbonate (CaCO3) that must have been present initially?

A: Since 1 mole of calcium carbonate (CaCO3) produces 1 mole of calcium oxide (CaO), the number of moles of calcium carbonate (CaCO3) that must have been present initially is equal to the number of moles of calcium oxide (CaO) produced.

Q: How do I calculate the mass of calcium carbonate (CaCO3) that must have been present initially?

A: To calculate the mass of calcium carbonate (CaCO3) that must have been present initially, you can use the formula:

mass=moles×molar mass\text{mass} = \text{moles} \times \text{molar mass}

Q: What is the relationship between the number of moles of calcium carbonate (CaCO3) and the number of moles of calcium oxide (CaO)?

A: Since 1 mole of calcium carbonate (CaCO3) produces 1 mole of calcium oxide (CaO), the number of moles of calcium carbonate (CaCO3) that must have been present initially is equal to the number of moles of calcium oxide (CaO) produced.

Q: What is the significance of the thermal decomposition of calcium carbonate?

A: The thermal decomposition of calcium carbonate is an important chemical reaction that has various applications in industries such as construction, paper manufacturing, and water treatment.

Q: What are some common uses of calcium carbonate?

A: Calcium carbonate is used in a variety of applications, including:

  • Construction: Calcium carbonate is used as a building material and in the production of cement.
  • Paper manufacturing: Calcium carbonate is used as a filler and coating agent in paper production.
  • Water treatment: Calcium carbonate is used to remove impurities and improve the taste and odor of water.

Q: What are some common uses of calcium oxide?

A: Calcium oxide is used in a variety of applications, including:

  • Steel production: Calcium oxide is used as a flux to remove impurities and improve the quality of steel.
  • Cement production: Calcium oxide is used as a component of cement.
  • Water treatment: Calcium oxide is used to remove impurities and improve the taste and odor of water.

Q: What are some common hazards associated with the thermal decomposition of calcium carbonate?

A: The thermal decomposition of calcium carbonate can produce hazardous substances, including:

  • Carbon dioxide: Carbon dioxide is a colorless, odorless gas that can displace oxygen and cause asphyxiation.
  • Calcium oxide: Calcium oxide is a highly reactive substance that can cause burns and other injuries.

Q: How can I safely handle calcium carbonate and calcium oxide?

A: To safely handle calcium carbonate and calcium oxide, you should:

  • Wear protective clothing, including gloves and a mask.
  • Work in a well-ventilated area.
  • Avoid inhaling dust or fumes.
  • Follow proper handling and storage procedures.

Q: What are some common mistakes to avoid when working with calcium carbonate and calcium oxide?

A: Some common mistakes to avoid when working with calcium carbonate and calcium oxide include:

  • Inhaling dust or fumes.
  • Not wearing protective clothing.
  • Not following proper handling and storage procedures.
  • Not working in a well-ventilated area.

Q: How can I dispose of calcium carbonate and calcium oxide safely?

A: To dispose of calcium carbonate and calcium oxide safely, you should:

  • Follow local regulations and guidelines.
  • Wear protective clothing, including gloves and a mask.
  • Work in a well-ventilated area.
  • Avoid inhaling dust or fumes.
  • Follow proper disposal procedures.

Q: What are some common applications of calcium carbonate and calcium oxide in everyday life?

A: Calcium carbonate and calcium oxide are used in a variety of applications in everyday life, including:

  • Construction: Calcium carbonate is used as a building material and in the production of cement.
  • Paper manufacturing: Calcium carbonate is used as a filler and coating agent in paper production.
  • Water treatment: Calcium carbonate is used to remove impurities and improve the taste and odor of water.
  • Steel production: Calcium oxide is used as a flux to remove impurities and improve the quality of steel.
  • Cement production: Calcium oxide is used as a component of cement.

Q: What are some common myths and misconceptions about calcium carbonate and calcium oxide?

A: Some common myths and misconceptions about calcium carbonate and calcium oxide include:

  • Calcium carbonate is a highly reactive substance that can cause burns and other injuries.
  • Calcium oxide is a highly toxic substance that can cause death.
  • Calcium carbonate and calcium oxide are not used in everyday life.

Q: How can I learn more about calcium carbonate and calcium oxide?

A: To learn more about calcium carbonate and calcium oxide, you can:

  • Read scientific articles and research papers.
  • Consult with experts in the field.
  • Attend workshops and conferences.
  • Join online forums and discussion groups.

Q: What are some common resources for learning about calcium carbonate and calcium oxide?

A: Some common resources for learning about calcium carbonate and calcium oxide include:

  • Scientific journals and publications.
  • Online forums and discussion groups.
  • Workshops and conferences.
  • Textbooks and educational materials.

Q: How can I stay up-to-date with the latest research and developments in the field of calcium carbonate and calcium oxide?

A: To stay up-to-date with the latest research and developments in the field of calcium carbonate and calcium oxide, you can:

  • Subscribe to scientific journals and publications.
  • Attend workshops and conferences.
  • Join online forums and discussion groups.
  • Follow experts and researchers in the field on social media.

Q: What are some common challenges and limitations associated with the use of calcium carbonate and calcium oxide?

A: Some common challenges and limitations associated with the use of calcium carbonate and calcium oxide include:

  • High reactivity: Calcium carbonate and calcium oxide are highly reactive substances that can cause burns and other injuries.
  • Toxicity: Calcium oxide is a highly toxic substance that can cause death.
  • Environmental impact: The production and use of calcium carbonate and calcium oxide can have a negative impact on the environment.

Q: How can I overcome the challenges and limitations associated with the use of calcium carbonate and calcium oxide?

A: To overcome the challenges and limitations associated with the use of calcium carbonate and calcium oxide, you can:

  • Use proper handling and storage procedures.
  • Wear protective clothing, including gloves and a mask.
  • Work in a well-ventilated area.
  • Follow local regulations and guidelines.
  • Use alternative substances or methods when possible.

Q: What are some common applications of calcium carbonate and calcium oxide in the future?

A: Calcium carbonate and calcium oxide are expected to have a wide range of applications in the future, including:

  • Construction: Calcium carbonate is expected to be used as a building material and in the production of cement.
  • Paper manufacturing: Calcium carbonate is expected to be used as a filler and coating agent in paper production.
  • Water treatment: Calcium carbonate is expected to be used to remove impurities and improve the taste and odor of water.
  • Steel production: Calcium oxide is expected to be used as a flux to remove impurities and improve the quality of steel.
  • Cement production: Calcium oxide is expected to be used as a component of cement.

Q: What are some common myths and misconceptions about the future of calcium carbonate and calcium oxide?

A: Some common myths and misconceptions about the future of calcium carbonate and calcium oxide include:

  • Calcium carbonate and calcium oxide will become obsolete and be replaced by alternative substances.
  • The production and use of calcium carbonate and calcium oxide will have a negative impact on the environment.
  • Calcium carbonate and calcium oxide will not be used in everyday life.

Q: How can I contribute to the development of new applications for calcium carbonate and calcium oxide?

A: To contribute to the development of new applications for calcium carbonate and calcium oxide, you can:

  • Conduct research and experiments to develop new uses for these substances.
  • Collaborate with experts and researchers in the field.
  • Share your ideas and findings with others.
  • Participate in online forums and discussion groups.

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