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In a homogeneous reaction A rarr B + C...

In a homogeneous reaction
`A rarr B + C + D`, the initial pressure was `P_(0)` and after time t it was P. Expression for rate constant in terms of `P_(0)`, P and t will be ………………………

A

`k = ((2.303)/(t))log((2P_(0))/(3P_(0)-P))`

B

`k = ((2.303)/(t))log((2P_(0))/(P_(0)-P))`

C

`k = ((2.303)/(t))log((3P_(0)-P)/(2P_(0)))`

D

`k = ((2.303)/(t))log((2P_(0))/(3P_(0) - 2P))`

Text Solution

Verified by Experts

The correct Answer is:
A
`{:(,A,rarr,B,C,D),("Initial",a,,0,0,0),("Reacted at time t",x,,x,x,x),("After time t",(a-x),,x,x,x),("Total number of moles",=(a+2x),,,,):}`
`a prop P_(0)`
`(a + 2x) prop P`
`(a)/((a + 2x)) = (P_(0))/(P)`
`x = ((P-P_(0))a)/(P_(0))`
`(a-x) = a - (((P-P_(0))a)/(P_(0)))`
`(a-x) = a {(3P_(0) - P)/(2P_(0))}`
`k = ((2.303)/(t))log ((a)/(a-x))`
`k = ((2.303)/(t)) log ((a)/(a{(3p_(0) - P)/(2P_(0))}))`
`k = ((2.303)/(t)) log ((2P_(0))/(3P_(0) - P))`
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