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NEET2019ChemistryChemical KineticsActual

For a first order gas phase reaction, A_ (g) 2 B_ (g) +C_ (g) P₀ be initial pressure of A and P_t the total pressure at time ' t '. Integrated rate equation is

Options

  1. A2.303 t ( P₀ P₀-P_t )
  2. B2.303 t ( 2 P₀ 3 P₀-P_t )
  3. C2.303 t ( P₀ 2 P₀-P_t )
  4. D2.303 t ( 2 P₀ 2 P₀-P_t )

Correct answer

B. 2.303 t ( 2 P₀ 3 P₀-P_t )

Step-by-step solution

Total pressure at time t=P₀-P+2 P+P=P_t aligned & P_t=P₀+2 P & P_t-P₀=2 P P= P_t-P₀ 2 & k= 2.303 t [ P₀ P₀-P ] & = 2.303 t [ P₀ P₀- ( P_t-P₀ 2 ) ] & = 2.303 t [ 2 P₀ 2 P₀-P_t+P₀ ]= 2.303 t [ 2 P₀ 3 P₀-P_t ] aligned

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