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The rate constants k₁ and k₂ for two different reactions are 10¹⁶ e⁻²⁰⁰⁰/T and 10¹⁵ e⁻¹⁰⁰⁰/T, respectively. The temperature at which k₁ = k₂ is:

1. 1000 K
2. 2000 K
3. 2000 K / 2.303
4. 1000 K / 2.303

Correct answer: 1000 K

Solution

Equating the two rate constants, k₁ = k₂, and solving for T using the Arrhenius equation, we find T = 1000 K. This involves equating the exponential terms and simplifying.

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