Chemical Kinetics question bank (Chemistry)

Given below are two statements:
$R=8.314$ J K$^{-1}$ mol$^{-1}$ and $1$ cal $=4.2$ J
Statement I: When $E_a=12.6$ kcal/mol, the room temperature rate constant is doubled by a $10\,^\circ$C increase in temperature ($298$ K to $308$ K)
Statement II: For a first order reactions A $\rightarrow$ B,

Here $[A]_o$ is the initial concentration of A and $t_{1/2}$ is half life of reaction.
In the light of the above statements, choose the correct answer from the options given below:

For a reaction $A \rightarrow P$ at $T\text{ K}$, the half life $(t_{1/2})$ is plotted as a function of initial concentration $[A]_0$ of $A$ as given below.

The value of $x$ in the given figure is _______ s (Nearest integer)