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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

1000 sec

D

434 sec

Text Solution

Verified by Experts

The correct Answer is:
B
`A+BrarrC+D` M
`t=0` 1 1
or `(dx)/(dt)=k(1-x) rarr t=(1)/(k)ln (1)/(1-x),t=(2.303)/(2.303xx10^(-2)) log (1)/(0.1) =100 sec`
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