AIPMT MAIN2008Chemistry-Chemical Kinetics

AIPMT MAIN 2008 Chemistry Arrhenius Equation MCQ Question

Type: MCQ-numerical-Hard-Class 12

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

A

2.303 K

B

1000 K

C

2000 K

D

2000 K

Correct Answer

Option A

Detailed Explanation

Setting k₁ = k₂ gives the equation 10¹⁶ · e⁻²⁰⁰⁰/ᵀ = 10¹⁵ · e⁻¹⁰⁰⁰/ᵀ. Solving for T gives T = 1000/2.303 K.

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