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JEE Advanced2009ChemistryChemical KineticsActual

For a first order reaction, A P , the temperature (T) dependent rate constant (k) was found to follow the equation, k=-(2000) / T+6.0 The pre-exponential factor A and the activation energy (E_a ) , respectively, are

Options

  1. A1.0 10^6 ~s ⁻¹ and 9.2 ~kJ ~mol ⁻¹
  2. B6.0 ~s ⁻¹ and 16.6 ~kJ ~mol ⁻¹
  3. C1.0 10^6 ~s ⁻¹ and 16.6 ~kJ ~mol ⁻¹
  4. D1.0 10^6 ~s ⁻¹ and 38.3 ~kJ ~mol ⁻¹

Correct answer

D. 1.0 10^6 ~s ⁻¹ and 38.3 ~kJ ~mol ⁻¹

Step-by-step solution

Comparing the slope and intercept of the given equation with the following Arrhenius equation : k=- E_a 2303 R T + A Hence, A=6 i.e. A=10^6 ~s ⁻¹ . Comparing slope gives E_a=38.3 ~kJ / mol .

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