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The ratio of the activation energy of a chemical reaction to the universal gas constant is $1000 \mathrm{~K}$. The temperature-dependence of the reaction rate constant follows the collision theory. The ratio of the rate constant at $600 \mathrm{~K}$ to that at $400 \mathrm{~K}$ is

  1. $2.818$
  2. $4.323$
  3. $1.502$
  4. $1.000$

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