The catalytic decomposition of  ${\mathrm{N}}_2\mathrm{O}$ by gold at  $900°\mathrm{C}$ and at an initial pressure of  $200 \mathrm{mm}$ is $50\%$ complete in $53$ minutes and $73\%$ complete in $100$ minutes.  What is the order of the reaction?

The following data are for the reaction $\mathrm{A}+\mathrm{B}\to$ products :

What is the total order for the reaction?

The rate constant for a zero order reaction is $2\times {10}^{-2} \mathrm{mol}{ \mathrm{L}}^{-1}{\sec }^{-1}$, if the concentration of the reactant after $25\sec$ is $0.25\mathrm{M}$, calculate the initial concentration.

Decomposition of both ${\mathrm{A}}_2\left(\mathrm{g}\right)$ and ${\mathrm{B}}_3\left(\mathrm{g}\right)$ follows $1\mathrm{st}$ order kinetic as:

${\mathrm{A}}_2\left(\mathrm{g}\right)\stackrel{{\mathrm{K}}_1}{\to }2\mathrm{A}\left(\mathrm{g}\right)$

${\mathrm{K}}_1\left({\mathrm{hr}}^{-1}\right)={10}^2{\mathrm{e}}^{\frac{14000}{\mathrm{RT}}}$

${\mathrm{B}}_3\left(\mathrm{g}\right)\stackrel{{\mathrm{K}}_2}{\to }3\mathrm{B}\left(\mathrm{g}\right)$

${\mathrm{K}}_2\left({\mathrm{hr}}^{-1}\right)={10}^3{\mathrm{e}}^{\frac{20000}{\mathrm{RT}}}$

If one mole of each ${\mathrm{A}}_2\left(\mathrm{g}\right)$ and ${\mathrm{B}}_3\left(\mathrm{g}\right)$ are taken in a $10 \mathrm{L}$ evacuated flask and heated to some temperature so that they start decomposition at the same rate, determine total pressure in the flask after $1.0 \mathrm{hr}$.

Derive an expression for the velocity of reaction :

$2{ \mathrm{N}}_2{\mathrm{O}}_5\left(\mathrm{g}\right)⟶4{\mathrm{NO}}_2\left(\mathrm{g}\right)+{\mathrm{O}}_2\left(\mathrm{g}\right)$

With the help of following mechanism

$$\begin{gathered} {\mathrm{N}}_2{\mathrm{O}}_5\stackrel{{\mathrm{K}}_{\mathrm{a}}}{⟶}{\mathrm{NO}}_2+{\mathrm{NO}}_3 \\ {\mathrm{NO}}_3+{\mathrm{NO}}_2\stackrel{{\mathrm{K}}_3}{⟶}{\mathrm{N}}_2{\mathrm{O}}_5 \\ {\mathrm{NO}}_2+{\mathrm{NO}}_3\stackrel{{\mathrm{K}}_{\mathrm{b}}}{⟶}{\mathrm{NO}}_2+{\mathrm{O}}_2+\mathrm{NO} \\ \mathrm{NO}+{\mathrm{NO}}_3\stackrel{{\mathrm{K}}_{\mathrm{c}}}{⟶}2{\mathrm{NO}}_2 \end{gathered}$$