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Given that the normal energy of the reactant and product are 40J and 20J respectively and threshold energy of the uncatalysed reaction is 120 J. If the rate of uncatalysed reaction at 400 K becomes equal to the rate of catalysed reaction at 300 K, then what will be the activation energy of the catalysed forward and backward reactions respectively?
  • a)
    80 J, 60 J
  • b)
    60 J, 80 J
  • c)
    80 J, 100 J    
  • d)
    50 J, 70 J
Correct answer is option 'B'. Can you explain this answer?
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**Given Data:**

- Normal energy of the reactant = 40 J
- Normal energy of the product = 20 J
- Threshold energy of the uncatalysed reaction = 120 J
- Rate of uncatalysed reaction at 400 K = Rate of catalysed reaction at 300 K

**Calculations:**

1. **Threshold energy of catalysed reaction:**
- Let the activation energy of the forward reaction be E1 and the activation energy of the backward reaction be E2.
- For the uncatalysed reaction:
Threshold energy = Activation energy of forward reaction + Activation energy of backward reaction
120 J = 40 J + 20 J = 60 J
- For the catalysed reaction:
Threshold energy = Activation energy of forward reaction + Activation energy of backward reaction
120 J = E1 + E2

2. **Rate of Reaction:**
- According to Arrhenius equation, the rate of reaction is given by:
Rate = A * exp(-Ea/RT)
Where A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature.
- Given that the rate of uncatalysed reaction at 400 K = Rate of catalysed reaction at 300 K
- A * exp(-60/400) = A * exp(-E1/300)
- exp(-0.15) = exp(-E1/300)
- -0.15 = -E1/300
- E1 = 300 * 0.15 = 45 J

3. **Activation energies of the catalysed forward and backward reactions:**
- From the threshold energy equation for the catalysed reaction:
120 J = E1 + E2
120 J = 45 J + E2
E2 = 120 J - 45 J
E2 = 75 J

**Therefore, the activation energy of the catalysed forward and backward reactions respectively are 45 J and 75 J.**
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Given that the normal energy of the reactant and product are 40J and 20J respectively and threshold energy of the uncatalysed reaction is 120 J. If the rate of uncatalysed reaction at 400 K becomes equal to the rate of catalysed reaction at 300 K, then what will be the activation energy of the catalysed forward and backward reactions respectively?a) 80 J, 60 Jb) 60 J, 80 Jc) 80 J, 100 J d) 50 J, 70 JCorrect answer is option 'B'. Can you explain this answer?
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Given that the normal energy of the reactant and product are 40J and 20J respectively and threshold energy of the uncatalysed reaction is 120 J. If the rate of uncatalysed reaction at 400 K becomes equal to the rate of catalysed reaction at 300 K, then what will be the activation energy of the catalysed forward and backward reactions respectively?a) 80 J, 60 Jb) 60 J, 80 Jc) 80 J, 100 J d) 50 J, 70 JCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Given that the normal energy of the reactant and product are 40J and 20J respectively and threshold energy of the uncatalysed reaction is 120 J. If the rate of uncatalysed reaction at 400 K becomes equal to the rate of catalysed reaction at 300 K, then what will be the activation energy of the catalysed forward and backward reactions respectively?a) 80 J, 60 Jb) 60 J, 80 Jc) 80 J, 100 J d) 50 J, 70 JCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given that the normal energy of the reactant and product are 40J and 20J respectively and threshold energy of the uncatalysed reaction is 120 J. If the rate of uncatalysed reaction at 400 K becomes equal to the rate of catalysed reaction at 300 K, then what will be the activation energy of the catalysed forward and backward reactions respectively?a) 80 J, 60 Jb) 60 J, 80 Jc) 80 J, 100 J d) 50 J, 70 JCorrect answer is option 'B'. Can you explain this answer?.
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