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For reactions P → Q and X → Y Arrhenius constants are 1 0 6 and 1 0 8 respectively. If E P → Q = 1500 c a l / m o l e and E x → y = 2000 c a l / m o l e , then find the temperature at which their rate constants are same. ( G i v e n : R = 2 c a l / m o l e / K )

Options

  1. A500 K
  2. B250 × 4.606 K
  3. C250 4.606 K
  4. D4.606 250 K

Correct answer

C. 250 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 A1 = e E a 2 - E a 1 / R T 1 0 2 = e 500 / R T R = 2 c a l / K / m o l e 2 l n 10 = 500 2 T T = 250 2 × 2.303 K

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