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A : when temperature becomes oo then the...

A : when temperature becomes `oo` then the value of rate constant is maximum.
R : a is also known as maximum rate constant.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion , then mark (1).

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion , then mark (2).

C

If Assertion is true statement but Reason is false, then mark (3).

D

If both Assertion and Reason are false statements , then mark (4)

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements given in the question, we need to break down the concepts of the rate constant (k), the temperature (T), and the pre-exponential factor (A) in the context of chemical kinetics. ### Step-by-Step Solution: 1. **Understanding the Rate Constant (k)**: The rate constant (k) is a crucial parameter in chemical kinetics that indicates the speed of a reaction. It is influenced by various factors, including temperature. 2. **Arrhenius Equation**: The relationship between the rate constant (k) and temperature (T) is described by the Arrhenius equation: \[ k = A e^{-\frac{E_a}{RT}} \] where: - \( A \) is the pre-exponential factor (also known as the frequency factor), - \( E_a \) is the activation energy, - \( R \) is the universal gas constant, - \( T \) is the absolute temperature in Kelvin. 3. **Behavior of k as T Approaches Infinity**: As the temperature (T) approaches infinity, the term \(-\frac{E_a}{RT}\) approaches zero because \( R \) and \( E_a \) are constants. Thus, we can evaluate the limit: \[ \lim_{T \to \infty} k = A e^{0} = A \] This indicates that the rate constant (k) approaches the value of the pre-exponential factor (A) as temperature increases indefinitely. 4. **Maximum Value of k**: Since \( A \) is a constant that represents the maximum frequency of effective collisions in the reaction, we conclude that the maximum value of the rate constant (k) occurs when T is infinite, and this maximum value is equal to A. 5. **Conclusion**: - Statement A is true: When temperature becomes infinite, the value of the rate constant (k) is indeed maximum. - Statement R is also true: A is known as the maximum rate constant (or pre-exponential factor). ### Final Answer: Both statements A and R are true, and the correct answer is that both statements are correct.
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