Consider The Following Intermediate Chemical Equations.$\[ \begin{array}{l} C(s) + \frac{1}{2} O_2(g) \rightarrow CO(g) \\ CO(g) + \frac{1}{2} O_2(g) \rightarrow CO_2(g) \end{array} \\]When You Form The Final Chemical Equation, What Should You

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Introduction

Balancing chemical equations is a crucial step in chemistry that helps us understand the stoichiometry of chemical reactions. It involves adding coefficients to the reactants and products to ensure that the number of atoms of each element is the same on both sides of the equation. In this article, we will explore how to balance chemical equations using the given intermediate chemical equations.

Understanding the Intermediate Chemical Equations

The given intermediate chemical equations are:

{ \begin{array}{l} C(s) + \frac{1}{2} O_2(g) \rightarrow CO(g) \\ CO(g) + \frac{1}{2} O_2(g) \rightarrow CO_2(g) \end{array} \}

These equations represent two separate reactions: the first one involves the reaction of carbon (C) with oxygen (O2) to form carbon monoxide (CO), while the second one involves the reaction of carbon monoxide (CO) with oxygen (O2) to form carbon dioxide (CO2).

Balancing the First Equation

To balance the first equation, we need to add coefficients to the reactants and products to ensure that the number of atoms of each element is the same on both sides of the equation. Let's start by counting the number of atoms of each element on both sides of the equation:

Reactants: C (1), O2 (0.5) Products: CO (1), O2 (0.5)

To balance the equation, we need to add a coefficient of 2 to the reactant O2 and a coefficient of 2 to the product CO. This will ensure that the number of atoms of each element is the same on both sides of the equation.

Balancing the Second Equation

To balance the second equation, we need to add coefficients to the reactants and products to ensure that the number of atoms of each element is the same on both sides of the equation. Let's start by counting the number of atoms of each element on both sides of the equation:

Reactants: CO (1), O2 (0.5) Products: CO2 (1), O2 (0.5)

To balance the equation, we need to add a coefficient of 2 to the reactant O2 and a coefficient of 2 to the product CO2. This will ensure that the number of atoms of each element is the same on both sides of the equation.

Forming the Final Chemical Equation

Now that we have balanced the two intermediate chemical equations, we can form the final chemical equation by combining the two equations. To do this, we need to multiply the first equation by 2 and the second equation by 1.

Final Chemical Equation

The final chemical equation is:

{ \begin{array}{l} 2C(s) + O_2(g) \rightarrow 2CO(g) \\ 2CO(g) + O_2(g) \rightarrow 2CO_2(g) \end{array} \}

Combining the two equations, we get:

{ \begin{array}{l} 2C(s) + O_2(g) \rightarrow 2CO(g) \\ 2CO(g) + O_2(g) \rightarrow 2CO_2(g) \end{array} \}

{ \begin{array}{l} 2C(s) + 2O_2(g) \rightarrow 2CO_2(g) \end{array} \}

Conclusion

Balancing chemical equations is a crucial step in chemistry that helps us understand the stoichiometry of chemical reactions. By following the steps outlined in this article, we can balance chemical equations using the given intermediate chemical equations. The final chemical equation represents the overall reaction of carbon (C) with oxygen (O2) to form carbon dioxide (CO2).

Tips and Tricks

  • Always start by counting the number of atoms of each element on both sides of the equation.
  • Add coefficients to the reactants and products to ensure that the number of atoms of each element is the same on both sides of the equation.
  • Use the given intermediate chemical equations to form the final chemical equation.
  • Combine the two equations by multiplying the first equation by 2 and the second equation by 1.

Common Mistakes

  • Failing to count the number of atoms of each element on both sides of the equation.
  • Adding coefficients to the wrong reactants or products.
  • Failing to combine the two equations to form the final chemical equation.

Real-World Applications

Balancing chemical equations has many real-world applications, including:

  • Understanding the stoichiometry of chemical reactions.
  • Predicting the products of chemical reactions.
  • Calculating the amount of reactants and products required for a chemical reaction.
  • Understanding the chemical properties of substances.

Conclusion

Introduction

Balancing chemical equations is a crucial step in chemistry that helps us understand the stoichiometry of chemical reactions. In our previous article, we explored how to balance chemical equations using the given intermediate chemical equations. In this article, we will answer some frequently asked questions about balancing chemical equations.

Q: What is the purpose of balancing chemical equations?

A: The purpose of balancing chemical equations is to ensure that the number of atoms of each element is the same on both sides of the equation. This helps us understand the stoichiometry of chemical reactions and predict the products of chemical reactions.

Q: How do I know if a chemical equation is balanced?

A: A chemical equation is balanced if the number of atoms of each element is the same on both sides of the equation. You can check if a chemical equation is balanced by counting the number of atoms of each element on both sides of the equation.

Q: What are the steps to balance a chemical equation?

A: The steps to balance a chemical equation are:

  1. Write the unbalanced chemical equation.
  2. Count the number of atoms of each element on both sides of the equation.
  3. Add coefficients to the reactants and products to ensure that the number of atoms of each element is the same on both sides of the equation.
  4. Check if the equation is balanced by counting the number of atoms of each element on both sides of the equation.

Q: How do I add coefficients to a chemical equation?

A: To add coefficients to a chemical equation, you need to multiply the reactants and products by the same number. For example, if you want to add a coefficient of 2 to the reactant CO, you need to multiply the entire equation by 2.

Q: What is the difference between a balanced and unbalanced chemical equation?

A: A balanced chemical equation has the same number of atoms of each element on both sides of the equation, while an unbalanced chemical equation has a different number of atoms of each element on both sides of the equation.

Q: Can a chemical equation be balanced in more than one way?

A: Yes, a chemical equation can be balanced in more than one way. However, only one of these ways is correct.

Q: How do I determine the correct way to balance a chemical equation?

A: To determine the correct way to balance a chemical equation, you need to follow the steps outlined above and check if the equation is balanced by counting the number of atoms of each element on both sides of the equation.

Q: What are some common mistakes to avoid when balancing chemical equations?

A: Some common mistakes to avoid when balancing chemical equations include:

  • Failing to count the number of atoms of each element on both sides of the equation.
  • Adding coefficients to the wrong reactants or products.
  • Failing to combine the two equations to form the final chemical equation.

Q: How do I use balancing chemical equations in real-world applications?

A: Balancing chemical equations has many real-world applications, including:

  • Understanding the stoichiometry of chemical reactions.
  • Predicting the products of chemical reactions.
  • Calculating the amount of reactants and products required for a chemical reaction.
  • Understanding the chemical properties of substances.

Conclusion

Balancing chemical equations is a crucial step in chemistry that helps us understand the stoichiometry of chemical reactions. By following the steps outlined in this article, we can balance chemical equations using the given intermediate chemical equations. The final chemical equation represents the overall reaction of carbon (C) with oxygen (O2) to form carbon dioxide (CO2).