From the rate expression for the following reactions, determine their order of reaction and the dimensions of the rate constants.

$(iv)$ $C _{2} H _{5} Cl ( g ) \rightarrow C _{2} H _{4}( g )+ HCl ( g ) \quad$ Rate $=k\left[ C _{2} H _{5} Cl \right]$

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$(iv)$ Given rate $=k\left[ C _{2} H _{5} Cl \right]$ Therefore, order of the reaction $=1$

Dimension of $k=\frac{\text { Rate }}{\left[ C _{2} H _{5} Cl \right]}$

$=\frac{\operatorname{mol}\, L ^{-1} \,s ^{-1}}{ mol \,L ^{-1}}$

$= s ^{-1}$

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A reaction involving two different reactants

  • [AIEEE 2005]

The following results have been obtained during the kinetic studies of the reaction:

$2 A+B \rightarrow C+D$

Experiment  $[ A ] / mol L ^{-1}$ $[ B ] / mol L ^{-1}$ Initial rate of formation of $D / mol \,L ^{-1} \,min ^{-1}$
$I$ $0.1$ $0.1$ $6.0 \times 10^{-3}$
$II$ $0.3$ $0.2$ $7.2 \times 10^{-2}$
$III$ $0.3$ $0.4$ $2.88 \times 10^{-1}$
$IV$ $0.4$ $0.1$ $2.40 \times 10^{-2}$

Determine the rate law and the rate constant for the reaction.

Which of the following is an example of pseudo unimolecular reaction