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JEE Advanced2018ChemistryChemical KineticsActual

For a first order reaction A ( g )   →   2 B ( g )   +   C ( g ) at constant volume and 300 K, the total pressure at the beginning ( t   =   0 ) and at time are   P 0   a n d   P 0 , respectively. Initially, only A is present with concentration   A 0 , and t 1 3   is the time required for the partial pressure of A to reach 1 / 3 r d of its initial value. Th

Correct answer

0

Step-by-step solution

A → 2 B + C t = 0 P 0 -   - t = t P 0 - P 2 P     P P 0 + 2 P = P t K = 1 t ln ⁡ P 0 P 0 - P = 1 t ln ⁡ P 0 P 0 - P t - P 0 2 K = 1 t ln ⁡ 2 P 0 3 P 0 - P t ⇒ - K t + ln ⁡ 2 P 0 = ln ⁡ 3 P 0 - P t And t 1 3 = 1 K ln ⁡ P 0   P 0 3 = 1 K ln ⁡ 3 = contant Rate constant does not depends on concentration

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