For the elementary reaction $2\mathrm{A}+{\mathrm{B}}_2\to 2\mathrm{AB}$. Calculate how much the rate of reaction will change if the volume of the vessel is reduced to one third of its original volume?

A drug is known to be ineffective after it has decomposed $30\%$. The original concentration of a sample was $500 \mathrm{units}/\mathrm{mL}$. when analyzed $20$ months later, the concentration was found to be $420 \mathrm{units}/\mathrm{mL}$. Assuming that decomposition is of $\mathrm{I}$ order, what will be the expiry time of the drug?

Fill your answer as sum of digits till you get the single digit answer.

At $800 °\mathrm{C}$ the rate of reaction $2\mathrm{NO}+{\mathrm{H}}_2\to {\mathrm{N}}_2+{\mathrm{H}}_2\mathrm{O}$. Changes with the concentration of $\mathrm{NO}$ and ${\mathrm{H}}_2$ are

What is the order of this reaction?

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 $53$ minute 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 following data were obtained in experiment on inversion of cane sugar

Time (minutes) $\begin{array}{cccc}0& 60& 120& 180\end{array} \infty$

Angle of rotation (degree) $\begin{array}{cccc}+13.1& +11.6& +10.2& +9.0\end{array} -3.8$

Show that the reaction is of first order. After what time would you expect a zero reading in polarimeter?

Fill your answer as sum of digits till you get the single digit answer.