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A gaseous compound A reacts by three ind...

A gaseous compound A reacts by three independent first order processes (as shown in figure) with rate . constant `2 xx 10^(-3) xx10^(-3)` and `1.93 xx10^(-3) sec^(-1)` for products B, C and D respectively. If initially pure A was taken in a closed container with P = 8 atm, then the partial pressure of B (in atm) after 100 sec from start of experiment.

A

`0.288`

B

`0.577`

C

`1.154`

D

`0.33`

Text Solution

Verified by Experts

Overall rate constant `= k = k_(1) + k_(2) + k_(3) = 6.93 xx 10^(-3)`
`t_(1//2) = (0.693)/(6.93 xx 10^(-3)) = 100sec`, After half-life, `P_(B) + P_(C) + P_(D) = 4` atm
`(P_(B))/(P_(B) + P_(C) + P_(D)) = (k_(1))/(k_(1) + k_(2) + k_(3)) = (200)/(693), p_(B) = 4 xx (200)/(693) = 1.154` atm
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