The given graph is a representation of kinetics of a reaction. The $y$ and $x$ axes for zero and first order reactions,respectively are

For a first order reaction,which of the following statements is correct?

The hydrolysis of an ester was carried out separately with $0.1 \ N$ $HCl$ and $0.1 \ N$ $H_2SO_4$. Then for the rate of reaction $(R)$ in the presence of acid,which of the following relations is true?

Given below are two statements: $R = 8.314 \text{ J K}^{-1} \text{ mol}^{-1}$ and $1 \text{ cal} = 4.2 \text{ J}$.
Statement $I$: When $E_a = 12.6 \text{ kcal/mol}$, the room temperature rate constant is doubled by a $10 \text{ }^\circ\text{C}$ increase in temperature ($298 \text{ K}$ to $308 \text{ K}$).
Statement $II$: For a first-order reaction $A \to B$, the graph of half-life $(t_{1/2})$ versus initial concentration $[A]_o$ is a straight line passing through the origin.
In the light of the above statements, choose the correct answer from the options given below:

An example of an autocatalytic reaction is:

For a chemical reaction,the temperature is increased from $25\,^{\circ}C$ to $55\,^{\circ}C$. The rate of reaction will change by a factor of (Assume $\mu = 3$).