$A$ gaseous hypothetical chemical equation $2A \rightleftharpoons 4B + C$ is carried out in a closed vessel. The concentration of $B$ is found to increase by $5 \times 10^{-3} \ mol \ L^{-1}$ in $10 \ s$. The rate of appearance of $B$ is

Consider the following reactant samples:
$I$. $1 \ mol$ of $A$ and $2 \ mol$ of $B$ in a $1 \ L$ vessel
$II$. $2 \ mol$ of $A$ and $2 \ mol$ of $B$ in a $2 \ L$ vessel
$III$. $0.2 \ mol$ of $A$ and $0.2 \ mol$ of $B$ in a $0.1 \ L$ vessel
Which reactant sample reacts at the highest rate if the reactants are in the gaseous state and do not follow a zero-order reaction?

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)

For the reaction,$5Br^-{_{\text{(aq)}}} + BrO_3^-{_{\text{(aq)}}} + 6H^+{_{\text{(aq)}}} \rightarrow 3Br_{2\text{(aq)}} + 3H_2O_{\text{(l)}}$,if $-\frac{\Delta[Br^{-}]}{\Delta t} = 0.05 \ mol \ L^{-1} \ min^{-1}$,then the value of $-\frac{\Delta[BrO_3^{-}]}{\Delta t}$ in $mol \ L^{-1} \ min^{-1}$ is:

The rate of a gaseous reaction is given by $r = K[x][y]$. If the volume of the reaction vessel is suddenly reduced to $1/4$ of its initial volume,the rate of the reaction will ............

For the decomposition reaction $N_2O_{4(g)} \rightarrow 2NO_{2(g)}$,the initial pressure of $N_2O_4$ decreases from $0.46 \ atm$ to $0.28 \ atm$ in $30 \ minutes$. What is the rate of formation of $NO_2$?