The half life for the decomposition of gaseous compound $\mathrm{A}$ is $240 \mathrm{s}$ when the gaseous pressure was $500$ Torr initially. When the pressure was $250$ Torr, the half life was found to be $4.0 \min$. The order of the reaction is _____ (Nearest integer)

For the decomposition of azomethane. ${\mathrm{CH}}_3{ \mathrm{N}}_2{\mathrm{CH}}_3\left(\mathrm{g}\right)\to {\mathrm{CH}}_3{\mathrm{CH}}_3\left(\mathrm{g}\right)+{\mathrm{N}}_2$ a first order reaction, the variation in partial pressure with time at $600 \mathrm{K}$ is given as

The half life of the reaction is____$\times {10}^{-5} \mathrm{s}$

$2\mathrm{NO}+2{\mathrm{H}}_2\to {\mathrm{N}}_2+2{\mathrm{H}}_2\mathrm{O}$

The above reaction has been studied at $800 °\mathrm{C}$. The related data are given in the table below

The order of the reaction with respect to NO is____

$\begin{array}{ccc}\left[\mathrm{A}\right]& \to & \left[\mathrm{B}\right]\\ \mathrm{Reactant}& & \mathrm{Product}\end{array}$

If formation of compound $\left[\mathrm{B}\right]$ follows the first order of kinetics and after $70$ minutes the concentration of $\left[\mathrm{A}\right]$ was found to be half of its initial concentration. Then the rate constant of the reaction is $\mathrm{x}\times {10}^{-6}{ \mathrm{s}}^{-1}$. The value of $\mathrm{x}$ is____

For a reaction, given below is the graph of $\mathrm{lnk} \mathrm{vs}\frac{1}{ \mathrm{T}}$. The activation energy for the reaction is equal to____$\mathrm{cal} {\mathrm{mol}}^{-1}$.(Given : $\mathrm{R}=2{\mathrm{calK}}^{-1}{ \mathrm{mol}}^{-1}$)

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The reaction between $\mathrm{X}$ and $\mathrm{Y}$ is first order with respect to $\mathrm{X}$ and zero order with respect to $\mathrm{Y}$.

Examine the data of table and calculate ratio of numerical values of $\mathrm{M}$ and $\mathrm{L}$.