Half-life period of a first order reaction is $1386$ seconds. The specific rate constant of the reaction is

The three experimental data for determine the differential rate of reaction $2 NO _{( g )}+ Cl _{2( g )} \rightarrow 2 NOCl_{( g )}$ at definate temperature. are given below.

$(a)$ Calculate order of reaction.

$(b)$ Calculate value of rate constant.

If the rate of the reaction is equal to the rate constant, the order of the reaction is

Consider the reaction between chlorine and nitric oxide

$Cl _{2}( g )+2 NO ( g ) \rightarrow 2 NOCl ( g )$

On doubling the concentration of both reactants, the rate of the reaction increases by a factor of $8 .$ However, if only the concentration of $C l_{2}$ is doubled, the rate increases by a factor of $2 .$ The order of this reaction with respect to $NO$ is :

Fill up the blank :

$1.$ The rate of zero order reaction depends on ........... concentration of reactant.

$2.$ The molecularity of slow step is equal to ........... of overall reaction

$3.$ Rate  $=$ ........ $[A]^x$ $[B]^y$

Reaction $2A + B \to$  product,  rate law is $\frac{{ - d[A]}}{{dt}}\, = \,K[A].$ At a time when $t\, = \,\frac{{{t_{1/2}}}}{{\ln\,2}},$ concentration of the reactant is