If the half-life periods of a first-order reaction and a zero-order reaction are equal,then the ratio of the initial rates of the reactions will be .............

An example of an autocatalytic reaction is:

The temperature coefficient of most of the reactions lies between

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 .......... $mm$

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:

Half-lives of a first order and a zero order reaction are same. Then the ratio of the initial rates of first order reaction to that of the zero order reaction is