Write a balanced chemical equation for the reaction that occurs when (b) silver(I) oxide decomposes into silver metal and oxygen gas when heated (c) propanol, C₃H₇OH(l) burns in air (d) methyl tert-butyl ether, C₅H₁₂O(l), burns in air.

Verified step by step guidance

1. Identify the reactant and the products in the reaction. In this case, the reactant is silver(I) oxide, and the products are silver metal and oxygen gas.
2. Write the unbalanced equation by placing the reactant on the left side and the products on the right side of the equation. It should look like this: \( \text{Ag}_2\text{O} \rightarrow \text{Ag} + \text{O}_2 \).
3. Balance the number of silver atoms on both sides of the equation. Since there are two silver atoms in silver(I) oxide, you should have two silver atoms on the product side: \( \text{Ag}_2\text{O} \rightarrow 2\text{Ag} + \text{O}_2 \).
4. Check the balance of oxygen atoms. In silver(I) oxide, there is one oxygen atom, and in the product side under oxygen gas, there are two atoms as part of the diatomic molecule \(\text{O}_2\). To balance the oxygen, you need to ensure that the total number of oxygen atoms remains consistent on both sides.
5. Confirm that all elements are balanced. In this case, the balanced chemical equation should be: \( 2\text{Ag}_2\text{O} \rightarrow 4\text{Ag} + \text{O}_2 \), ensuring that there are equal numbers of each type of atom on both sides of the equation.

Key Concepts

Decomposition Reactions

Decomposition reactions involve a single compound breaking down into two or more simpler products. In this case, silver(I) oxide (Ag2O) decomposes when heated, resulting in the formation of silver metal (Ag) and oxygen gas (O2). Understanding this type of reaction is crucial for writing balanced chemical equations.

Balancing Chemical Equations

Balancing chemical equations is the process of ensuring that the number of atoms for each element is the same on both sides of the equation. This is based on the law of conservation of mass, which states that matter cannot be created or destroyed in a chemical reaction. Proper balancing is essential for accurately representing the reaction.

Stoichiometry

Stoichiometry is the study of the quantitative relationships between the reactants and products in a chemical reaction. It allows chemists to predict the amounts of substances consumed and produced. In the context of the decomposition of silver(I) oxide, stoichiometry helps determine the correct coefficients needed to balance the equation.