Show how Equations 18.7 and 18.9 can be added to give Equation 18.10.

Verified step by step guidance

1. Identify Equations 18.7, 18.9, and 18.10 from your textbook or notes to understand their forms and components.
2. Write down Equation 18.7 and Equation 18.9 separately, ensuring you have the correct expressions for each.
3. Add the left-hand sides of Equations 18.7 and 18.9 together, and separately add the right-hand sides of these equations.
4. Simplify the resulting equation by combining like terms or simplifying expressions as needed.
5. Compare the simplified equation to Equation 18.10 to verify that they are equivalent, confirming that the addition was performed correctly.

Key Concepts

Chemical Equations

Chemical equations represent the reactants and products in a chemical reaction, using symbols and formulas. Understanding how to manipulate these equations, such as adding or combining them, is crucial for deriving new relationships or results in chemistry. Each equation must be balanced to reflect the conservation of mass, ensuring that the number of atoms for each element is the same on both sides.

Addition of Equations

Adding chemical equations involves combining the reactants and products of two or more equations to form a new equation. This process requires careful attention to ensure that the resulting equation is balanced and accurately represents the overall reaction. The addition of equations is often used to derive more complex reactions from simpler ones, illustrating how different processes can be interconnected.

Balancing Chemical Reactions

Balancing chemical reactions is the process of ensuring that the number of atoms of each element is equal on both sides of the equation. This is essential for the validity of the equation, as it reflects the law of conservation of mass. Techniques for balancing include adjusting coefficients in front of compounds and ensuring that all elements are accounted for, which is critical when adding multiple equations together.