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Each question contains STATEMENTS-1 (Ass...

Each question contains STATEMENTS-1 (Assertion) and STATEMENT -2 (Reason).
Examine the statements carefully and mark the correct answer according to the instructions given below:
STATEMENT -1: If the activation energy of reaction is zero, temperature will have no effect on the rate constant.
STATEMENT-2: Lower the activation energy faster is the raction.

A

If both the statements are TRUE and STATEMENT-2 is the correct explanation of STATEMENT-1

B

If both the statement are TRUE but STATEMENT-2 is NOT the correct explanation of STATEMENT-1

C

If STATEMENT-1 is TRUE and STATEMENT-2 is FALSE

D

If STATEMENT-1 is FALSE and STATEMENT-2 is TRUE

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the two statements about activation energy and reaction rates, we will analyze each statement step by step. ### Step 1: Analyze Statement 1 **Statement 1:** If the activation energy of the reaction is zero, temperature will have no effect on the rate constant. - The activation energy (Ea) is the minimum energy required for a reaction to occur. According to the Arrhenius equation: \[ k = A e^{-\frac{E_a}{RT}} \] where: - \( k \) = rate constant - \( A \) = Arrhenius constant - \( R \) = universal gas constant - \( T \) = temperature in Kelvin - If \( E_a = 0 \), the equation simplifies to: \[ k = A e^{0} = A \] This means that the rate constant \( k \) is equal to the Arrhenius constant \( A \) and does not depend on temperature \( T \). ### Conclusion for Statement 1: - **Statement 1 is true.** When the activation energy is zero, the rate constant is independent of temperature. ### Step 2: Analyze Statement 2 **Statement 2:** Lower the activation energy, faster is the reaction. - A lower activation energy means that the exponential factor in the Arrhenius equation becomes larger, which increases the rate constant \( k \). - Since the rate of reaction is directly proportional to the rate constant, a higher \( k \) implies a faster reaction. ### Conclusion for Statement 2: - **Statement 2 is true.** Lower activation energy results in a faster reaction due to an increase in the rate constant. ### Step 3: Determine the Relationship Between the Statements - Both statements are true, but we need to evaluate if Statement 2 is a correct explanation for Statement 1. - While both statements are true, Statement 2 does not explain why temperature has no effect on the rate constant when activation energy is zero. It merely states that lower activation energy leads to a faster reaction. ### Final Conclusion: - **Both statements are true, but Statement 2 does not explain Statement 1.** ### Answer: The correct option is that both statements are true, but Statement 2 is not the correct explanation of Statement 1. ---
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