For the reaction $2A \rightarrow 3C + D$, the rate of reaction is represented by:

For the reaction $A_{(g)} + 3B_{(g)} \to 2C_{(g)}$,if the value of $-d[A]/dt$ is $3 \times 10^{-3} \ mol \ L^{-1} \ min^{-1}$,then the value of $-d[B]/dt$ will be:

In a pseudo first order reaction in water,the following results were obtained:

$t / s$	$0$	$30$	$60$	$90$
$[A] / mol \ L^{-1}$	$0.55$	$0.31$	$0.17$	$0.085$

Calculate the average rate of reaction between the time interval $30$ to $60 \ s$.

At $298 \ K$ the value of $-\frac{\Delta[Br^{-}]}{\Delta t}$ for the reaction$5Br^-{_{\text{(aq)}}} + BrO_3^-{_{\text{(aq)}}} + 6H^+{_{\text{(aq)}}} \rightarrow 3Br_{2\text{(aq)}} + 3H_2O_{\text{(l)}}$ is $x \ mol \ L^{-1} \ min^{-1}$. What is the rate (in $mol \ L^{-1} \ min^{-1}$) of this reaction?

An indicator '$X$' is used for studying the effect of variation in concentration of iodide on the rate of reaction of iodide ion with $H_2O_2$ at room temperature. The indicator '$X$' forms a blue-colored complex with compound '$A$' present in the solution. The indicator '$X$' and compound '$A$' respectively are:

$5 Br^{-}_{(aq)} + BrO^{-}_{3(aq)} + 6 H^{+}_{(aq)} \rightarrow 3 Br_{2(aq)} + 3 H_{2}O_{(l)}$
The rate of consumption of $H^{+}$ is $x \ mol \ L^{-1} \ s^{-1}$.
$(a)$ What is the rate of consumption of $Br^{-}$?
$(b)$ What is the rate of formation of $Br_{2}$?