InterviewSolution
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InterviewSolution
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The order of reaction is an experimentally determined quanity. It may be zero, poistive, negative, or fractional. The kinetic equation of `nth` order reaction is`k xx t = (1)/((n-1))[(1)/((a-x)^(n-1)) - (1)/(a^(n-1))]` …(i) Half life of `nth` order reaction depends on the initial concentration according to the following relation: `t_(1//2) prop (1)/(a^(n-1))` ...(ii) The unit of the rate constant varies with the order but general relation for the unit of `nth` order reaction is Units of `k = [(1)/(Conc)]^(n-1) xx "Time"^(-1)` ...(iii) The differential rate law for `nth` order reaction may be given as: `(dX)/(dt) = k[A]^(n)` ...(iv) where `A` denotes the reactant. The half life for a zero order reaction equalsA. `(1)/(2) (k)/(a^(2))`B. `(a^(2))/(2k)`C. `(2k)/(a)`D. `(a)/(2k)` |
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Answer» Correct Answer - D Uisng Eq. (ii), when `t = t_(1//2)`, then `x = a//2`. Uisng Eq. (i), `t_(1//2) = (c_(0)-c_(t))/(k) = (a-(a//2))/(k) = (a)/(2k)` |
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