Consider the following concentration–time data for the decomposition reaction AB → A + B.
(b) What is the molarity of AB after a reaction time of 192 min?

Verified step by step guidance

1. Determine the order of the reaction by analyzing the concentration-time data.
2. Use the appropriate integrated rate law based on the determined order of the reaction.
3. Identify the initial concentration of AB from the data provided.
4. Substitute the initial concentration, rate constant, and time (192 min) into the integrated rate law equation.
5. Solve the equation for the concentration of AB at 192 min.

Key Concepts

Reaction Rate

The reaction rate refers to the speed at which reactants are converted into products in a chemical reaction. It can be expressed in terms of the change in concentration of a reactant or product over time. Understanding the reaction rate is crucial for determining how the concentration of AB changes over the specified time period.

Molarity

Molarity is a measure of concentration defined as the number of moles of solute per liter of solution. It is commonly used in chemistry to express the concentration of reactants and products in a reaction. To find the molarity of AB after a certain time, one must calculate the remaining amount of AB and divide it by the total volume of the solution.

Stoichiometry

Stoichiometry involves the calculation of reactants and products in chemical reactions based on balanced chemical equations. It allows chemists to predict the amounts of substances consumed and produced. In this context, stoichiometry is essential for determining how the concentration of AB decreases as it decomposes into A and B over time.