For the reaction $N_{2(g)} + 3H_{2(g)} \to 2NH_{3(g)}$,under certain conditions of temperature and partial pressure of the reactants,the rate of formation of $NH_3$ is $0.001 \ kg \ h^{-1}$. The rate of conversion of $H_2$ under the same conditions is:

Explain why the average rate of reaction decreases with the concentration of the reactant using an example.

For the decomposition of $A$ as shown below,calculate the rate of appearance of $B$ if the initial concentration of $A$ is $2 \ M$.
$A_{(g)} \xrightarrow{K_1 = 2 \times 10^{-3} \ s^{-1}} 2B_{(g)}$
$A_{(g)} \xrightarrow{K_2 = 1 \times 10^{-3} \ s^{-1}} C_{(g)}$

For a given chemical reaction $\gamma_{1} A + \gamma_{2} B \rightarrow \gamma_{3} C + \gamma_{4} D$,the rate of appearance of $D$ is $1.5$ times the rate of disappearance of $B$,which is twice the rate of disappearance of $A$. The rate of appearance of $D$ has been experimentally determined to be $9 \, mmol \, dm^{-3} s^{-1}$. Therefore,the rate of reaction is $...... \, mmol \, dm^{-3} s^{-1}$. (Nearest Integer)

Write the following equations for the reaction $R \to P$: $(i)$ Average rate $(ii)$ Instantaneous rate.

For the reaction $5 Br_{(aq)}^{-} + BrO_{3_{(aq)}}^{-} + 6 H_{(aq)}^{+} \rightarrow 3 Br_{2_{(aq)}} + 3 H_{2}O_{(l)}$,write the rate of reaction expression.