In the following reaction $3A \to B + 2C$,the initial concentration of $A$ is $8\,mol\,L^{-1}$. After $10\,min$,it becomes $5\,mol\,L^{-1}$. Find the rate of reaction in $mol\,L^{-1}\,min^{-1}$.

The velocity of disappearance for $HI$ is $2.4 \times 10^{-2} \ mol \ L^{-1} \ s^{-1}$. Calculate the rate of formation of $H_2$.

In the reaction of formation of sulphur trioxide by contact process $2SO_2 + O_2 \rightleftharpoons 2SO_3$,the rate of reaction was measured as $\frac{d[O_2]}{dt} = -2.5 \times 10^{-4} \ mol \ L^{-1} \ s^{-1}$. The rate of reaction in terms of $[SO_2]$ in $mol \ L^{-1} \ s^{-1}$ will be:

Find the rate of formation of $NO_{2(g)}$ in the following reaction.
$2 N_2 O_{5(g)} \rightarrow 4 NO_{2(g)} + O_{2(g)}$
$\left[ \frac{-d[N_2 O_5]}{dt} = 0.02 \ mol \ dm^{-3} \ s^{-1} \right]$

$A \rightarrow P$ is a first-order reaction. The following graph is obtained for this reaction ($x$-axis $=$ time,$y$-axis $=$ concentration of $A$). The instantaneous rate of the reaction at point $C$ is:

What is chemical kinetics? Which information is obtained by chemical kinetics and thermodynamics regarding a reaction?