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MHT CET202124 Sep 2021Morning ShiftChemistryChemical KineticsActual

Which of the following represents integrated rate law equation for gas phase first order reaction, A _ ( g ) B _ ( g ) + C _ ( g ) If P _ i = initial pressure of A P = total pressure of reaction mixture at time?

Options

  1. Ak =2.303 ₁₀ P _ i 2 P _ i - P
  2. Bk = 2.303 t ₁₀ P _ i 2 P _ i - P
  3. Ck = 1 t 2 P _ i - P P _ i
  4. Dk = 2.303 t ₁₀ P _ i - P P _ i

Correct answer

B. k = 2.303 t ₁₀ P _ i 2 P _ i - P

Step-by-step solution

array llcc & A _ ( g ) & B _ ( g ) + C _ ( g ) t =0 . & P _ i & - & - t = t , & P _ i - x & x & x array Total pressure of reaction mixture at time t ( P )= P _ i - x + x + x aligned & P = P _ i + x & x = P - Pi aligned For first order reaction, aligned & K = 2.303 t P _ i P _ i - x & = 2.303 t P _ i P _ i - ( P - P _ i ) & K = 2.303 t P _ i 2 P _ i - P aligned

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