The first order reaction, $A(g) \rightarrow B(g)+2 C(g)$ occurs at $25^{\circ} \mathrm{C}$. After 24 minutes the ratio of the concentration of products to the concentration of the reactant is $1: 3$ What is the half life is of the reaction (in min )? $\log 1.11=0.046$

Identify the autocatalytic reaction from the following

At 298 K , for a first order resction $(A \rightarrow P)$ the following graph is obtained. The rate constant ( in s ${ }^{-1}$ ) and initial concentration ( in mol $\mathrm{L}^{-1}$ ) of ' $A$ ' are respectively $(Y$-axis $=\ln (a-x): X$-axis $=$ time in sec)