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Which of the following graphs is not for...

Which of the following graphs is not for zero order reaction?

A

B

C

D

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The correct Answer is:
To determine which of the given graphs is not for a zero-order reaction, we will analyze each option based on the characteristics of zero-order kinetics. ### Step-by-Step Solution: 1. **Understanding Zero-Order Reactions**: - In a zero-order reaction, the rate of reaction is constant and does not depend on the concentration of the reactants. The rate equation is given by: \[ \text{Rate} = k \] - The integrated rate law for a zero-order reaction can be expressed as: \[ [A] = [A_0] - kt \] - The half-life of a zero-order reaction is given by: \[ t_{1/2} = \frac{[A_0]}{2k} \] - The concentration decreases linearly with time. 2. **Analyzing Option A**: - The graph plots half-life (y-axis) vs. concentration (x-axis). - Since the half-life is directly proportional to the initial concentration in zero-order reactions, this graph represents a linear relationship. - **Conclusion**: Option A is consistent with zero-order kinetics. 3. **Analyzing Option B**: - The graph plots concentration (y-axis) vs. time (x-axis). - For a zero-order reaction, the concentration decreases linearly over time, which means this graph will also be a straight line. - **Conclusion**: Option B is consistent with zero-order kinetics. 4. **Analyzing Option C**: - The graph plots the change in concentration over time (dx/dt) vs. concentration. - In a zero-order reaction, the rate (dx/dt) is constant, meaning this graph will show a constant value regardless of concentration. - **Conclusion**: Option C is consistent with zero-order kinetics. 5. **Analyzing Option D**: - The graph plots log(A - x) (y-axis) vs. time (x-axis). - This relationship is derived from first-order kinetics, where: \[ \log(A - x) = \log A - \frac{k}{2.303}t \] - This indicates a linear relationship with a negative slope, characteristic of first-order reactions. - **Conclusion**: Option D does not represent a zero-order reaction. ### Final Answer: The graph that is not for a zero-order reaction is **Option D**.

To determine which of the given graphs is not for a zero-order reaction, we will analyze each option based on the characteristics of zero-order kinetics. ### Step-by-Step Solution: 1. **Understanding Zero-Order Reactions**: - In a zero-order reaction, the rate of reaction is constant and does not depend on the concentration of the reactants. The rate equation is given by: \[ \text{Rate} = k ...
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