Balance The Entire Chemical Reaction Using An Atom Inventory. Remember To Balance Each Element In The Reaction.${ Pb\left(NO_3\right)_2 + Na_2CrO_4 \rightarrow PbCrO_4 + NaNO_3 }$When The Equation Is Balanced, What Is The Coefficient For

by ADMIN 239 views

Introduction

Balancing chemical equations is a crucial step in understanding the stoichiometry of a reaction. It involves determining the correct proportions of reactants and products in a chemical reaction. In this article, we will learn how to balance a chemical equation using an atom inventory. We will use the given equation as an example:

Pb(NO3)2+Na2CrO4PbCrO4+NaNO3{ Pb\left(NO_3\right)_2 + Na_2CrO_4 \rightarrow PbCrO_4 + NaNO_3 }

What is an Atom Inventory?

An atom inventory is a table that lists the number of atoms of each element present in the reactants and products of a chemical reaction. It helps us to identify the elements that are not balanced and to determine the correct coefficients for each reactant and product.

Step 1: Write Down the Unbalanced Equation

The given equation is already written in its unbalanced form:

Pb(NO3)2+Na2CrO4PbCrO4+NaNO3{ Pb\left(NO_3\right)_2 + Na_2CrO_4 \rightarrow PbCrO_4 + NaNO_3 }

Step 2: Create an Atom Inventory

To create an atom inventory, we need to count the number of atoms of each element present in the reactants and products. We will use the following table to record our findings:

Element Reactants Products
Pb 1 1
Na 2 1
Cr 1 1
O 6 4
N 2 1

Step 3: Identify the Elements that are Not Balanced

By examining the atom inventory, we can see that the following elements are not balanced:

  • Na: 2 atoms in the reactants and 1 atom in the products
  • O: 6 atoms in the reactants and 4 atoms in the products
  • N: 2 atoms in the reactants and 1 atom in the products

Step 4: Determine the Correct Coefficients

To balance the equation, we need to determine the correct coefficients for each reactant and product. We will start by balancing the elements that are not balanced.

  • Na: To balance the sodium atoms, we need to multiply the Na2CrO4 reactant by 2. This will give us 4 sodium atoms in the products, which is equal to the number of sodium atoms in the reactants.
  • O: To balance the oxygen atoms, we need to multiply the Pb(NO3)2 reactant by 2. This will give us 12 oxygen atoms in the products, which is equal to the number of oxygen atoms in the reactants.
  • N: To balance the nitrogen atoms, we need to multiply the Pb(NO3)2 reactant by 2. This will give us 4 nitrogen atoms in the products, which is equal to the number of nitrogen atoms in the reactants.

Step 5: Write Down the Balanced Equation

After determining the correct coefficients, we can write down the balanced equation:

2Pb(NO3)2+2Na2CrO42PbCrO4+2NaNO3{ 2Pb\left(NO_3\right)_2 + 2Na_2CrO_4 \rightarrow 2PbCrO_4 + 2NaNO_3 }

Conclusion

Balancing a chemical equation using an atom inventory involves creating a table that lists the number of atoms of each element present in the reactants and products. We then identify the elements that are not balanced and determine the correct coefficients for each reactant and product. By following these steps, we can write down the balanced equation and understand the stoichiometry of the reaction.

What is the Coefficient for Pb?

The coefficient for Pb is 2. This means that 2 lead atoms are present in the products of the reaction.

What is the Coefficient for Na?

The coefficient for Na is 2. This means that 2 sodium atoms are present in the products of the reaction.

What is the Coefficient for Cr?

The coefficient for Cr is 2. This means that 2 chromium atoms are present in the products of the reaction.

What is the Coefficient for O?

The coefficient for O is 12. This means that 12 oxygen atoms are present in the products of the reaction.

What is the Coefficient for N?

The coefficient for N is 4. This means that 4 nitrogen atoms are present in the products of the reaction.

Final Answer

Q: What is the purpose of balancing a chemical equation?

A: The purpose of balancing a chemical equation is to ensure that the number of atoms of each element is the same on both the reactant and product sides of the equation. This is important because it allows us to understand the stoichiometry of the reaction and to predict the amounts of reactants and products that will be formed.

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 the reactant and product sides of the equation. You can use an atom inventory to help you determine if the equation is balanced.

Q: What is an atom inventory?

A: An atom inventory is a table that lists the number of atoms of each element present in the reactants and products of a chemical reaction. It helps you to identify the elements that are not balanced and to determine the correct coefficients for each reactant and product.

Q: How do I create an atom inventory?

A: To create an atom inventory, you need to count the number of atoms of each element present in the reactants and products. You can use the following table to record your findings:

Element Reactants Products
Pb 1 1
Na 2 1
Cr 1 1
O 6 4
N 2 1

Q: What if I have a complex chemical equation with many reactants and products? How do I balance it?

A: Balancing a complex chemical equation can be challenging, but it can be done using the same steps as balancing a simple equation. You will need to create an atom inventory and identify the elements that are not balanced. Then, you will need to determine the correct coefficients for each reactant and product.

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

A: Some common mistakes to avoid when balancing a chemical equation include:

  • Not counting the number of atoms of each element correctly
  • Not identifying the elements that are not balanced
  • Not determining the correct coefficients for each reactant and product
  • Not checking the equation for errors after balancing

Q: How do I check my work after balancing a chemical equation?

A: To check your work after balancing a chemical equation, you should:

  • Count the number of atoms of each element on both the reactant and product sides of the equation
  • Check that the number of atoms of each element is the same on both sides of the equation
  • Check that the coefficients for each reactant and product are correct

Q: What if I make a mistake when balancing a chemical equation? How do I fix it?

A: If you make a mistake when balancing a chemical equation, you can fix it by:

  • Going back to the atom inventory and re-counting the number of atoms of each element
  • Re-determining the correct coefficients for each reactant and product
  • Re-checking the equation for errors after balancing

Q: Can I use a computer program to balance a chemical equation?

A: Yes, you can use a computer program to balance a chemical equation. There are many programs available that can help you balance a chemical equation, including online tools and software programs.

Q: What are some common applications of balancing chemical equations?

A: Balancing chemical equations has many applications in chemistry, including:

  • Understanding the stoichiometry of a reaction
  • Predicting the amounts of reactants and products that will be formed
  • Designing experiments to test hypotheses
  • Developing new chemical reactions and processes

Q: Why is balancing a chemical equation important in real-world applications?

A: Balancing a chemical equation is important in real-world applications because it allows us to understand the stoichiometry of a reaction and to predict the amounts of reactants and products that will be formed. This is important in many fields, including chemistry, biology, medicine, and engineering.