Analyse the given graph, drawn between concentration of reactant vs. time.(a) Predict the order of reaction.

To analyze the graph of the concentration of a reactant versus time in order to predict the order of the reaction, you would typically follow these steps:

1. Break Down the Problem

• Understand the relationship between concentration and time for different orders of reactions:
  • Zero-order: Concentration vs. time is linear.
  • First-order: A plot of ln(concentration) vs. time is linear.
  • Second-order: A plot of 1/concentration vs. time is linear.

2. Relevant Concepts

• For zero-order reactions: $[A] = [A]_0 - kt$
• For first-order reactions: $\ln[A] = \ln[A]_0 - kt$
• For second-order reactions: $\frac{1}{[A]} = \frac{1}{[A]_0} + kt$

3. Analysis and Detail

• Identify the type of graph plotted.
• Determine if the graph of concentration versus time shows a linear relationship. If it is linear, the reaction is zero-order.
• If the plot of ln(concentration) versus time is linear, it indicates a first-order reaction.
• If the plot of 1/concentration versus time is linear, it indicates a second-order reaction.

4. Verify and Summarize

• Verify the linearity by performing a linear regression analysis or by simply checking graphically.
• Summarize findings by stating the observed nature of the graph.

Final Answer

Based on the type of linear relationship observed in the graph of concentration versus time, you can predict the order of the reaction accordingly:

• If the concentration vs. time is linear, the reaction is zero-order.
• If ln(concentration) vs. time is linear, the reaction is first-order.
• If 1/concentration vs. time is linear, the reaction is second-order.