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The rate coefficient (k) for a particular reactions is 1.3 10⁻⁴ M ⁻¹ ~s ⁻¹ at 100^ C , and 1.3 10⁻³ M ⁻¹ ~s ⁻¹ at 150^ C . What is the energy of activation ( E _ A ) (in . kJ ) for this reaction? ( R = molar gas constant =8.314 JK ⁻¹ ~mol ⁻¹ )

Options

  1. A16
  2. B60
  3. C99
  4. D132

Correct answer

B. 60

Step-by-step solution

According to Arrhenius equation aligned & k₂ k₁ = E_a 2.303 R ( 1 T₁ - 1 T₂ ) & 1.3 10⁻³ 1.3 10⁻⁴ = E_a 2.303 8.314 [ 1 373 - 1 423 ] &1= E_a 2.303 8.314 [ 1 373 - 1 423 ] &E_a=60 ~kJ / mole aligned

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