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KCET2023ChemistryChemical Kinetics

The rate constant 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

Options

  1. A2000 2.303 ~K
  2. B2000 ~K
  3. C1000 2.303 ~K
  4. D1000 ~K

Correct answer

C. 1000 2.303 ~K

Step-by-step solution

K₁=10¹⁶ e^ - 2000 T K₂=10¹⁵ e^ - 1000 T Now, K₁=K₂ aligned 10¹⁶ e^ -2000 T & =10¹⁵ e^ -1000 T 10 & =e^ 1000 T aligned Taking on both sides, 10= 1000 T e 2.303 10= 1000 T T= 1000 2.303 ~K

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