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JEE Main20244 Apr 2024Morning ShiftChemistryChemical KineticsActual

Consider the following transformation involving first order elementary reaction in each step at constant temperature as shown below. (A+B Step 3 Step 1 C Step 2 P ) Some details of the above reactions are listed below. ( array ccc Step & Rate constant ( s e c ^ - 1 ) & Activation energy ( k J ~ m o l ^ - 1 ) 1 & k ₁ & 300 2 & k ₂ & 200 3 & k ₃ & Ea ₃ array ) If the overall rate constant of the above transformation ((

Correct answer

100

Step-by-step solution

aligned & K = K ₁ ~K ₂ ~K ₃ & Ae ^ - E ₃ RT = A ₁ e ^ - E _ a ₁ RT A ₂ e ^ - E _ 3₂ RT A ₃ e ^ - E _ k ₃ RT & Ae ^ - E ₃ RT = A ₁ ~A ₂ ~A ₃ e ^ - ( E _ a ₁ - E _ a ₂ - E _ 3₃ ) RT & E _ a = E _ a ₁ + E _ a ₂ - E _ a ₃ & 400=300+200- E _ a ₃ & E _ a ₃ =100 ~kJ / mole aligned

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