The rate constant for the reaction, A₂B₄O → AB₄ + AO, is described as,

log k = 14.1 - .

The activation energy for this reaction (in kJ mol^-1) is closest to

Concept:

• According to Arrhenius equation, the rate constant k at temperature T is related to the activation energy E_a  by the equation:

  ---------(1)

• Where, A is pre-exponential factor or frequency factor, R is universal gas constant, 8.314 J K^-1mol^-1
• Taking log on both sides of equation (1) we get,----------(2)

Explanation:

Given,

log k = 14.1 - 

We know from equation (2),  

Comparing above two relations, we get

 = 

  E_a = 2.303R  10000K

= 2.303  8.314 J K^-1 mol^-1  10000 K 

= 191.47 kJ

Conclusion: -

Therefore, the activation energy for this reaction (in kJ mol-1) is closest to 191.4