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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: The plot of k versus 1/T is linear.
STATEMENT-2: `k=A.e^(-E_(a)//RT)`

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, we will analyze both statements step by step. ### Step 1: Understand Statement 1 **Statement 1:** The plot of k versus 1/T is linear. - The statement refers to the relationship between the rate constant (k) and the temperature (T). - According to the Arrhenius equation, \( k = A e^{-\frac{E_a}{RT}} \), where \( A \) is the pre-exponential factor, \( E_a \) is the activation energy, \( R \) is the universal gas constant, and \( T \) is the temperature in Kelvin. - To analyze the linearity, we can take the logarithm of both sides of the Arrhenius equation: \[ \log k = \log A - \frac{E_a}{2.303RT} \] - Rearranging gives: \[ \log k = \log A - \frac{E_a}{2.303R} \cdot \frac{1}{T} \] - This equation is in the form of \( y = mx + c \), where: - \( y = \log k \) - \( x = \frac{1}{T} \) - \( m = -\frac{E_a}{2.303R} \) (slope) - \( c = \log A \) (intercept) ### Step 2: Conclusion for Statement 1 - The plot of \( \log k \) versus \( \frac{1}{T} \) is linear, not \( k \) versus \( \frac{1}{T} \). - Therefore, **Statement 1 is incorrect**. ### Step 3: Understand Statement 2 **Statement 2:** \( k = A e^{-\frac{E_a}{RT}} \) - This is the Arrhenius equation itself, which describes how the rate constant \( k \) depends on temperature \( T \) and activation energy \( E_a \). - This equation is well-established in chemical kinetics and is indeed correct. ### Step 4: Conclusion for Statement 2 - **Statement 2 is correct.** ### Final Conclusion - **Statement 1 is false, and Statement 2 is true.** - The correct answer is that Statement 1 is incorrect and Statement 2 is correct.
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