The decomposition of $N_2O_5$ follows first-order kinetics: $N_2O_5 \rightarrow 2NO_2 + \frac{1}{2} O_2$. Its half-life is $2.4 \ hours$. If $10.8 \ g$ of $N_2O_5$ is taken initially,how many liters of $O_2$ will be obtained at $STP$ after $9.6 \ hours$?

The consecutive reaction $X$ $\longrightarrow Y$ $\longrightarrow Z$ takes place in a closed container. Initially,the container has $A_{0}$ moles of $X$ (and no $Y$ and $Z$). The plot of total moles of the constituents in the container as a function of time will be:

For the following reaction
$2X + Y \xrightarrow{i} P$
the rate of reaction is $\frac{d[P]}{dt} = k[X]$. Two moles of $X$ are mixed with one mole of $Y$ to make $1.0 \ L$ of solution. At $50 \ s$,$0.5 \ mole$ of $Y$ is left in the reaction mixture. The correct statement$(s)$ about the reaction is(are)
(Use: $\ln 2 = 0.693$)
$(A)$ The rate constant,$k$,of the reaction is $13.86 \times 10^{-4} \ s^{-1}$.
$(B)$ Half-life of $X$ is $50 \ s$.
$(C)$ At $50 \ s$,$-\frac{d[X]}{dt} = 13.86 \times 10^{-3} \ mol \ L^{-1} \ s^{-1}$.
$(D)$ At $100 \ s$,$-\frac{d[Y]}{dt} = 3.46 \times 10^{-3} \ mol \ L^{-1} \ s^{-1}$.

Which one of the following represents a complex reaction?

In the phenomenon of autocatalysis,......

At $100\,^\circ C,$ the gaseous reaction $A_{(g)} \rightarrow 2B_{(g)} + C_{(g)}$ is found to be first order. Starting with pure $A,$ if at the end of $10\,\min$,the total pressure of the system is $160\,mm$ and after a long time,when dissociation of $A$ was complete,it was $300\,mm.$ The partial pressure of $A$ at the end of $10\,\min$ is .......... $mm$