Rate Of A Chemical Reaction

1. (Expression I):

This is a first-order rate equation under all possible concentrations. The graph for this case shows initial concentration of X vs time.
The corresponding profile is P.

2. (Expression II):

- This represents a second-order rate equation when the initial concentration of X is much smaller than . The graph shows **small concentration of X**. - The corresponding profile is **Q**.

3. (Expression III):

This is a first-order rate equation where the initial concentration of X is much higher than . The graph shows **initial concentration of X vs time** and typically exhibits exponential decay.
The corresponding profile is S.

4. (Expression IV):

This represents a general rate equation where the initial concentration of X is much higher than . The graph shows concentration of X vs time with a quadratic decrease for higher-order reactions.
The corresponding profile is T.

Final Answer:

The correct matches are:

• I → P: , initial concentration of X vs time graph
• II → Q: , small concentration of X
• III → S: , initial concentration of X vs time showing exponential decay
• IV → T: , concentration of X vs time for high concentrations showing quadratic decrease

Correct Option:

The correct option is A: I → P; II → Q; III → S; IV → T.