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For reactions A → B and P → Q Arrhenius constants are 10 8 and 10 10 respectively. If E A → B = 600 cal/mole and E P → Q = 1200 cal/mole , then find the temperature at which their rate constants are same. (Given: R = 2 cal/mole/K )

Options

  1. A600 K
  2. B300 × 4.606 K
  3. C300 4.606 K
  4. D4.606 600 K

Correct answer

C. 300 4.606 K

Step-by-step solution

A 1 e - E a 1 / R T = A 2 e - E a 2 / R T A 2 A 1 = e E a 2 - E a 1 / R T 10 2 = E x p 600 R T R = 2 c a l / K - m o l 2 l n 10 = 600 2 T T = 300 2 × 2.303 K

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