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Question

In a homogeneous reaction AB+C+D the initial pressure was P0 and after time t it was P. Expression for rate constant k in terms of P0, P and t will be:

A
k=2.303tlog2P03P0P
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B
k=2.303tlog2P0P0P
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C
k=2.303tlog3P0P2P0
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D
k=2.303tlog2P03P02P
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Solution

The correct option is A k=2.303tlog2P03P0P
AB+C+D
Initial a 0 0 0
After time t ax x x x
It is given time a=P0...................(i)
ax+x+x+x=P.....(ii)
From (i)
P0+2x=P or x=PP02
From rate equation
k=2.303tlogaax
k=2.303tlog2P03P0P

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