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For a first order reaction,A. The degree of dissociation is equal to `(1-e^(-kt))`.B. A plot of reciprocal concentration of the reactant `vs` time gives a straight line.C. The time taken for the completion of `75%` reaction is theice the `t_(1//2)` of reaction.D. The pre-exponential factor in the Arrhenius equations has the dimenison of time, `T^(-1)`. |
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Answer» Correct Answer - A::D For a first order reaction,`A rarr` Products, we have `ln.([A]_(t))/([A]_(0)) = -kt` or `[A]_(t) = [A]_(0) e^(-kt)` In terms of degree of dissociation, m `[A]_(t) = [A]_(0) (1-alpha)` Hence, `[A] (1- alpha) = [A]_(0) e^(kt)` or `alpha = 1-e^(kt)` The Arrhenius equation is `k = Ae^(-Ea//RT)` The dimenison of pre-exponential factor `A` in the above expresison is the same as that of rate constant `k`. For a first order reaction, the dimenison of `k` is `t^(-1)`. |
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