Chemistry - Chemical Kinetics Question with Solution | TestHub

The order of reaction is an experimentally determined quantity. It may be zero, positive, negative, or fractional. The kinetic equation for an nᵗʰ-order reaction is:

$k\times t=\frac{1}{(n-1)}\left[\frac{1}{(a-x{)}^{n-1}}-\frac{1}{a^{n-1}}\right]$

The half-life of an nᵗʰ-order reaction depends on the initial concentration according to the following relation:

$t_{1/2}\propto \frac{1}{a^{n-1}}$.

The unit of the rate constant varies with the order, but the general relation for the unit of an nᵗʰ-order reaction is:

$Unitofk={\left[\frac{1}{(conc.)}\right]}^{n-1}.(Time{)}^{-1}$

The differential rate law for an nᵗʰ-order reaction may be given as:

$\frac{dx}{dt}=k[A{]}^n$

where A denotes the reactant.