From the plot of concentration–time data in Figure 14.1, estimate: (a) the instantaneous rate of decomposition of N₂O₅ at t = 200 s.

Verified step by step guidance

1. Identify the concentration-time plot for the decomposition of \( \text{N}_2\text{O}_5 \).
2. Locate the point on the graph where \( t = 200 \text{ s} \).
3. Draw a tangent line to the curve at \( t = 200 \text{ s} \) to find the instantaneous rate.
4. Determine the slope of the tangent line, which represents the rate of change of concentration with respect to time.
5. Use the formula for the rate of decomposition: \( \text{Rate} = -\frac{d[\text{N}_2\text{O}_5]}{dt} \), where the slope of the tangent line gives \( \frac{d[\text{N}_2\text{O}_5]}{dt} \).

Key Concepts

Instantaneous Rate of Reaction

The instantaneous rate of a reaction refers to the rate at which a reactant is consumed or a product is formed at a specific moment in time. It can be determined from the slope of the concentration vs. time graph at that particular time point. This concept is crucial for understanding how reaction rates change over time and allows for the calculation of rates at any given instant.

Concentration-Time Graph

A concentration-time graph visually represents how the concentration of a reactant or product changes over time during a chemical reaction. The x-axis typically represents time, while the y-axis represents concentration. Analyzing the slope of the curve at a specific time provides insights into the reaction kinetics and helps estimate the instantaneous rate of reaction.

Decomposition Reaction

A decomposition reaction is a type of chemical reaction where a single compound breaks down into two or more simpler products. In this case, the decomposition of N2O5 involves the breakdown of dinitrogen pentoxide into nitrogen dioxide and oxygen. Understanding the nature of decomposition reactions is essential for analyzing their rates and mechanisms, particularly in the context of concentration changes over time.