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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For the reaction, $2N_2O_5 \to 4NO_2 + O_2$ rate and rate constant are $1.02 \times 10^{-4}\, mol\,L^{-1}\,s^{-1}$ and $3.4 \times10^{-5}\,s^{-1}$ respectively. The concentration of $N_2O_5$ in $mol\,L^{-1}$ will be

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Consider the following single step reaction in gas phase at constant temperature.

$2 \mathrm{~A}_{(\mathrm{g})}+\mathrm{B}_{(\mathrm{g})} \rightarrow \mathrm{C}_{(\mathrm{g})}$

The initial rate of the reaction is recorded as $r_1$ when the reaction starts with $1.5 \mathrm{~atm}$ pressure of $\mathrm{A}$ and $0.7 \mathrm{~atm}$ pressure of B. After some time, the rate $r_2$ is recorded when the pressure of $C$ becomes $0.5 \mathrm{~atm}$. The ratio $r_1: r_2$ is $\qquad$ $\times 10^{-1}$.

(Nearest integer)

  • [JEE MAIN 2024]

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

This reaction was studied at $-10^{\circ} C$ and the following data was obtained

run $[ NO ]_{0}$ $\left[ Cl _{2}\right]_{0}$ $r _{0}$
$1$ $0.10$ $0.10$ $0.18$
$2$ $0.10$ $0.20$ $0.35$
$3$ $0.20$ $0.20$ $1.40$

$[ NO ]_{0}$ and $\left[ Cl _{2}\right]_{0}$ are the initial concentrations and $r _{0}$ is the initial reaction rate.

The overall order of the reaction is ..........

(Round off to the Nearest Integer).

  • [JEE MAIN 2021]