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Question

A gas phase reaction RA+B+C+D follows first order kinetics. The initial pressure was xo, the pressure after 10 minutes was y. The correct expression for the rate constant k is :
  1. k=2.30310log4x03x0y
  2. k=2.30310log2x03x0y
  3. k=2.30310log4x04x0y
  4. k=2.30310log3x04x0y


Solution

The correct option is D k=2.30310log3x04x0y
The gas phase reaction is given as
               R  A   +  B   +   C  +  Dt=0         x0      0          0          0        0t=t       x0P   P         P         P        Py = x0 P+4P  y=x0+3PP=yx03Applying 1st order kinetics,k=110lnx0x0Pk=2.30310logx0x0(yx03)k=2.30310log3x04x0y

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