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JEE Main202431 Jan 2024Morning ShiftChemistryChemical KineticsActual

Integrated rate law equation for a first order gas phase reaction is given by (where P i is initial pressure and P t is total pressure at time t )

Options

  1. Ak = 2 . 303 t × log P i 2 P i - P t
  2. Bk = 2 . 303 t × log 2 P i 2 P i - P t
  3. Ck = 2 . 303 t × log 2 P i - P t P i
  4. Dk = 2 . 303 t × P i 2 P i - P t

Correct answer

A. k = 2 . 303 t × log P i 2 P i - P t

Step-by-step solution

A → B + C P i 0 0 P i - x x x The formula used here is: k = 2 . 303 t log P i P t P t = P i + x P i - x = P i - P t + P i = 2 P i - P t k = 2 . 303 t × log P i 2 P i - P t Hence, the answer is option A.

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