Consider the given graph showing variation of reactant concentration with time.

Three different reactions were started with identical initial concentration of reactants. Which of the following statement is correct?

Consider the first order reaction $\mathrm{R} \rightarrow \mathrm{P}$.

The fraction of molecules decomposed in the given first order reaction can be expressed as

Consider the reaction aX → bY, for which the rate constant at 30°C is $1 \times 10^{-3}\ \text{mol}^{-1}\ \text{L}\ \text{s}^{-1}$. Which of the following statements are true?

A. When concentration of ‘X’ is increased to four times, the rate of reaction becomes 16 times.

B. The reaction is a second order reaction.

C. The half-life period is independent of the concentration of X.

D. Decomposition of N$_2$O$_5$ is an example of the above reaction.

E. vs time is valid for the above reaction.

Choose the correct answer from the options given below:

t_100% is the time required for the 100% completion of the reaction while t_1/2 is the time required for 50% of the reaction to be completed. Which of the following option correctly represents the relation between t_100% and t_1/2 for zero and first order reactions respectively?