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For the reaction Ato B , the rate law e...

For the reaction A`to` B , the rate law expression is : Rate = k[A]. Which of the following statements is incorrect?

A

The reaction is said to follow first order kinetics

B

The half life of the reaction will depend on the initial concentration of the reactant

C

‘k’ is constant for the reaction at a constant temperature

D

The rate law provides a simple way of predicting the concentration of reactants and products at any time after the start of the reaction

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To solve the question regarding the reaction A to B with the rate law expression Rate = k[A], we need to analyze the statements provided and determine which one is incorrect. ### Step-by-Step Solution: 1. **Identify the Rate Law Expression**: The rate law expression given is Rate = k[A]. This indicates that the rate of the reaction depends linearly on the concentration of reactant A. 2. **Determine the Order of the Reaction**: The order of a reaction can be determined from the rate law expression. Since the concentration of A is raised to the power of 1 (implied), the reaction is a first-order reaction. 3. **Evaluate the Statements**: - **Statement 1**: "The reaction is said to follow first-order kinetics." - This statement is **correct** because the rate law indicates a first-order reaction. - **Statement 2**: "The half-life of the reaction will depend upon the initial concentration of the reactant." - This statement is **incorrect**. For first-order reactions, the half-life is constant and does not depend on the initial concentration of A. The half-life (t₁/₂) is given by the formula t₁/₂ = 0.693/k, which shows that it only depends on the rate constant k. - **Statement 3**: "A is constant for the reaction at a constant temperature." - This statement is **correct**. The rate constant k is constant at a given temperature and does not change with the concentration of A. - **Statement 4**: "The rate law provides a simple way of predicting the concentration of reactants and products at any time from the start of the reaction." - This statement is **correct**. The rate law allows us to calculate concentrations at any time during the reaction. 4. **Conclusion**: The incorrect statement among the options is Statement 2, which claims that the half-life of the reaction depends on the initial concentration of the reactant. ### Final Answer: The incorrect statement is: "The half-life of the reaction will depend upon the initial concentration of the reactant." ---
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