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 equals
A. `(1)/(2)(k)/(a^(2))`
B. `(a^(2))/(2k)`
C. `(2k)/(a)`
D. `(a)/(2k)`
