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The rate constant for forward reaction A...

The rate constant for forward reaction `A(g) hArr 2B(g)` is `1.5 xx 10^(-3) s^(-1)` at `100 K`. If `10^(-5)` moles of `A` and `100 "moles"` of `B` are present in a `10-L` vessel at equilibrium, then the rate constant for the backward reaction at this temperature is

A

`A. 1.50 xx 10^(-4) L mol s^(-1)`

B

`B. 1.50 xx 10^(-11) L mol^(-1) s^(-1)`

C

`C. 1.50 xx 10^(-10) L mol^(-1) s^(-1)`

D

D. None of these

Text Solution

Verified by Experts

The correct Answer is:
B

`k_(eq) = ([B]^(2))/([A]) = ([100//10]^(2))/([10^(-5)//10]) = 10^(8)`
`k_(eq) = (k_(f))/(k_(b)) = rArr k_(b) = (1.5 xx 10^(-3))/(10^(8)) = 1.5 xx 10^(-11) L mol^(-1) s^(-1)`
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