For an elementary chemical reaction, ${A_2} \underset{{{k_{ - 1}}}}{\overset{{{k_1}}}{\longleftrightarrow}} 2A$ the expression for $\frac{{d\left[ A \right]}}{{dt}}$ is

  • [JEE MAIN 2019]
  • A

    ${k_1}\left[ {{A_2}} \right] - {k_{ - 1}}{\left[ A \right]^2}$

  • B

    $2{k_1}\left[ {{A_2}} \right] - {k_{ - 1}}{\left[ A \right]^2}$

  • C

    ${k_1}\left[ {{A_2}} \right] + {k_{ - 1}}{\left[ A \right]^2}$

  • D

    $2{k_1}\left[ {{A_2}} \right] - {2k_{ - 1}}{\left[ A \right]^2}$

Similar Questions

Molecularity of reaction of inversion of sugar is

The experimental data for decomposition of $N _{2} O _{5}$

$\left[2 N _{2} O _{5} \rightarrow 4 NO _{2}+ O _{2}\right]$

in gas phase at $318 \,K$ are given below:

$t/s$ $0$ $400$ $800$ $1200$ $1600$ $2000$ $2400$ $2800$ $3200$
${10^2} \times \left[ {{N_2}{O_5}} \right]/mol\,\,{L^{ - 1}}$ $1.63$ $1.36$ $1.14$ $0.93$ $0.78$ $0.64$ $0.53$ $0.43$ $0.35$

$(i)$ Plot $\left[ N _{2} O _{5}\right]$ against $t$

$(ii)$ Find the half-life period for the reaction.

$(iii)$ Draw a graph between $\log \left[ N _{2} O _{5}\right]$ and $t$

$(iv)$ What is the rate law $?$

$(v)$ Calculate the rate constant.

$(vi)$ Calculate the half-life period from $k$ and compare it with $(ii)$.

In a reaction if the concentration of reactant A is tripled, the rate of reaction becomes twenty seven times. What is the order of the reaction ?

For which type of reactions, order and molecularity have the same value ?

The rate of a gaseous reaction is given by the expression $K\,[A]\,[B]$. If the volume of the reaction vessel is suddenly reduced to $1/4^{th} $ of the initial volume, the reaction rate relating to original rate will be