Integrated rate law equation for a first order gas phase reaction is given by (where P i is initial pressure…

Integrated rate law equation for a first order gas phase reaction is given by (where Pi is initial pressure and Pt is total pressure at time t)
  1. k=2.303t×logPi2Pi-Pt
  2. k=2.303t×log2Pi2Pi-Pt
  3. k=2.303t×log2Pi-PtPi
  4. k=2.303t×Pi2Pi-Pt

Solution

A           B       +       C

Pi                 0                  0

Pi-x            x                  x

The formula used here is:

k=2.303tlogPiPt

Pt=Pi+x

Pi-x=Pi-Pt+Pi

=2Pi-Pt

k=2.303t×logPi2Pi-Pt

Hence, the answer is option A.

Asked in: JEE Main 2024 (31 Jan Shift 1)

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