During decomposition of an activated complex

Which of the following statements is/are correct?

For a consecutive first-order reaction $\mathrm{A}\stackrel{{\mathrm{k}}_1}{⟶}\mathrm{B}\stackrel{{\mathrm{k}}_2}{⟶}\mathrm{C}$, the values of ${\mathrm{k}}_1$ and ${\mathrm{k}}_2$ are $45 {\mathrm{hr}}^{-1}$ and $15 {\mathrm{hr}}^{-1}$, respectively. If the reaction is carried out with pure $\mathrm{A}$ at a concentration of $1.0 \mathrm{mol} {\mathrm{dm}}^{-3}$. How much time will be required for the concentration of $\mathrm{B}$ to reach a maximum?

For a consecutive first-order reaction $\mathrm{A}\stackrel{{\mathrm{k}}_1}{⟶}\mathrm{B}\stackrel{{\mathrm{k}}_2}{⟶}\mathrm{C}$, the values of ${\mathrm{k}}_1$ and ${\mathrm{k}}_2$ are $45 {\mathrm{hr}}^{-1}$ and $15 {\mathrm{hr}}^{-1}$, respectively. If the reaction is carried out with pure $\mathrm{A}$ at a concentration of $1.0 \mathrm{mol} {\mathrm{dm}}^{-3}$, what will be the maximum concentration of $\mathrm{B}$?

For a consecutive first-order reaction $\mathrm{A}\stackrel{{\mathrm{k}}_1}{⟶}\mathrm{B}\stackrel{{\mathrm{k}}_2}{⟶}\mathrm{C}$ the values of ${\mathrm{k}}_1$ and ${\mathrm{k}}_2$ are $45 {\mathrm{hr}}^{-1}$ and $15 {\mathrm{hr}}^{-1}$, respectively. If the reaction is carried out with pure $\mathrm{A}$ at a concentration of $1.0 \mathrm{mol} {\mathrm{dm}}^{-3}$, what will be the composition of the reacting system after a time interval of $10$ minutes?

The formation in water of $\mathrm{d}$-potassium chromo-oxalate from its $\mathrm{l}$-form is a reversible reaction, which is first-order in both directions, the racemate being the equilibrium product. A polarimeter experiment at $22 °\mathrm{C}$ showed that after $560 \mathrm{s}, 12 \mathrm{mole}$ $\%$ of the $\mathrm{l}$-isomer was converted to the $\mathrm{d}$-form. Find the rate constant for the forward and the reverse reactions.

Given $\ln \left(0.76\right)=-0.2744$

Derive the equilibrium constant for decomposition of ${\mathrm{H}}_2{\mathrm{O}}_2$ from the following data

The kinetics of hydrolysis of methyl acetate in excess dilute $\mathrm{HCl}$ at $25 °\mathrm{C}$ were followed by withdrawing $2 \mathrm{mL}$ of the reaction mixture at intervals of $\left(\mathrm{t}\right)$, adding $50 \mathrm{mL}$ water, and titrating with baryta water. Determine the velocity constant of hydrolysis.