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For a first order homogenous gaseous rea...

For a first order homogenous gaseous reaction, `Ato2B+C`
then initial pressure was `P_(i)` while total pressure after time 't' was `P_(t)`. The right expression for the rate constants k in terms of `P_(i),P_(t)` and t is :

A

`K=(2.303)/(t)log((2"Pi")/(3"Pi"-Pt))`

B

`K=(2.303)/(t)log((2"Pi")/(2P_(t)-P_(i)))`

C

`K=(2.303)/(t)log((P_(i))/(P_(i)-P_(t)))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`{:(A ,to,28,+,C),("Pi",,0,,0),("Pi"-x,,2x,,x):}:|{:(),("Pi"-x+2x+x=P_(t)),(x=((P_(t)-P_(i)))/2):}`
`K=(2.303)/(t)"log"(P_(i))/(P_(i)-X)=(2.303)/(K)"log"(2P_(i))/(3P_(i)-P_(t))`
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