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A ( g ) B ( g )+ C ( g ) is a first order reaction. array |l|l|l| Time & T & P _ system & P _ t & P _ array The reaction was started with reactant A only. Which of the following expression is correct for rate constant k ?

Options

  1. Ak = 1 t 2 ( p _ - P _ t ) P _ t
  2. Bk = 1 t p _ P _ t
  3. Ck = 1 t p _ 2 ( p _ - P _ t )
  4. Dk = 1 t p _ ( p _ - P _ t )

Correct answer

C. k = 1 t p _ 2 ( p _ - P _ t )

Step-by-step solution

aligned & array lllll & A_ (g) & & B_ (g) & + C_ (g) t=0 & P^o & & 0 & 0 t=t & P^o-x & & x & x t= & 0 & & P^o & P^o array & P _ t = P ^ o + x x = P _ t - P ^ o = P _ t - P _ 2 & P _ =2 P ^ o P ^0= P 2 & k = 1 t P ^ o P ^ o - x & k= 1 t n P_ 2 (P_ -P_t ) aligned

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