Question:medium
(i) and (ii) are two chemical reactions carried out at TK.
\[
(i) \, X \rightarrow Y + W \, \text{with rate constant} \, k_1
\]
\[
(ii) \, X \rightarrow Z + W \, \text{with rate constant} \, k_2
\]
The activation energy for reaction (ii) is 3 times that of reaction (i). What is the expression for \( k_1 \)?
(i) and (ii) are two chemical reactions carried out at TK.
\[ (i) \, X \rightarrow Y + W \, \text{with rate constant} \, k_1 \] \[ (ii) \, X \rightarrow Z + W \, \text{with rate constant} \, k_2 \]
The activation energy for reaction (ii) is 3 times that of reaction (i). What is the expression for \( k_1 \)?
\[ (i) \, X \rightarrow Y + W \, \text{with rate constant} \, k_1 \] \[ (ii) \, X \rightarrow Z + W \, \text{with rate constant} \, k_2 \]
The activation energy for reaction (ii) is 3 times that of reaction (i). What is the expression for \( k_1 \)?
Show Hint
The Arrhenius equation relates the rate constant to the activation energy. When the activation energy for one reaction is related to another, the rate constants for the reactions can be compared using the ratio of exponentials.
Updated On: May 5, 2026
- \( k_1 = -2k_2 e^{\frac{2E_a}{RT}} \)
- \( k_1 = k_2 e^{\frac{E_a}{RT}} \)
- \( k_1 = 2k_2 e^{\frac{E_a}{RT}} \)
- \( k_1 = \frac{k_2}{2} e^{\frac{E_a}{RT}} \)
Show Solution
The Correct Option is B
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