Question

# A gas phase reaction R→A+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 :k=2.30310log4x03x0−yk=2.30310log2x03x0−yk=2.30310log4x04x0−yk=2.30310log3x04x0−y

Solution

## The correct option is D k=2.30310log3x04x0−yThe gas phase reaction is given as                R→  A   +  B   +   C  +  Dt=0         x0      0          0          0        0t=t       x0−P   P         P         P        P⇒y = x0 −P+4P  ⇒y=x0+3P⇒P=y−x03Applying 1st order kinetics,k=110lnx0x0−Pk=2.30310logx0x0−(y−x03)k=2.30310log3x04x0−y

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