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Reaction A + B rarr C + D follows rate l...

Reaction A + B `rarr` C + D follows rate law, `r = k[A]^(1//2) [B]^(1//2)` starting with 1 MofA and Beach. What is the time taken for concentration of A become 0.1 M? (K = 2.303 * 10 ^(-3) )

A

10 sec

B

100 sec

C

1000sec

D

434 sec

Text Solution

Verified by Experts

`{:(,A,+,B,rarr,C,+,D),(t = 0,1,,1,,,,),(t,1-x,,1-x,,x,,x):}`
`r = k[A]^(1//2)[B]^(1//2) rArr (dx)/(dt) = k(1-x)^(1//2)(1-x)^(1//2)`
or `(d x)/(dt) = k(1-x) rArr t = (1)/(k)ln((1)/(1-x)), t = (2.303)/(2.303 xx 10^(-2))log ((1)/(0.1)) = 100sec`.
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