For the following reactions A → 700 K Product A → catalyst 500 K Product It was found that the E…

For the following reactions
A700KProduct
Acatalyst500KProduct
It was found that the Ea is decreased by 30 KJ/mol in the presence of catalyst. If the rate remains unchanged, the activation energy for catalysed reaction is (Assume pre-exponential factor is same)
  1. 75 KJ/mol
  2. 105 KJ/mol
  3. 135 KJ/mol
  4. 198 KJ/mol

Solution

Kcat=K
Ae-Ea1RT1=Ae-Ea2RT2
Ea1T1=Ea2T2 ; Ea1=Ea2-30
Ea2-30500=Ea2700
5Ea2=7Ea2-210
Ea2=2102=105 kJ/mole
Activation energy of the catalysed reaction =105-30=75 kJ/mole.

Asked in: JEE Main 2020 (09 Jan Shift 1)

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