Which of the following statements is/are true?

Compounds $\mathrm{A}$ and $\mathrm{B}$ react with a common reagent with the first-order kinetics in both the cases. If $99\%$ of $\mathrm{A}$ must react before $1\%$ of $\mathrm{B}$ has reacted. What is the minimum ratio for their respective rate constants?

(Given: $\frac{2}{2-\log 99}=458$)

The decomposition of ${\mathrm{Cl}}_2{\mathrm{O}}_7$ at $400 \mathrm{K}$ in the gas phase to ${\mathrm{Cl}}_2$ and ${\mathrm{O}}_2$ is of first order. After $55 \mathrm{s}$ at $400 \mathrm{K},$ the pressure of ${\mathrm{Cl}}_2{\mathrm{O}}_7$ falls from $0.062$ to $0.044 \mathrm{atm}$, calculate the rate constant.

The decomposition of ${\mathrm{Cl}}_2{\mathrm{O}}_7$ at $400 \mathrm{K}$ in the gas phase to ${\mathrm{Cl}}_2$ and ${\mathrm{O}}_2$ is of first-order. After $55 \mathrm{s}$ at $400 \mathrm{K},$ the pressure of ${\mathrm{Cl}}_2{\mathrm{O}}_7$ falls from $0.062$ to $0.044 \mathrm{atm}$, calculate the pressure (in atm) of ${\mathrm{Cl}}_2{\mathrm{O}}_7$ after $100 \mathrm{s}$.

The half-life of the reaction ${\mathrm{N}}_2{\mathrm{O}}_5 \left(\mathrm{g}\right)$$\to 2{\mathrm{NO}}_2 \left(\mathrm{g}\right)$ $+\frac{1}{2}{\mathrm{O}}_2 \left(\mathrm{g}\right)$  is $2.4$ hours at $30°\mathrm{C}$.

Starting with $10 \mathrm{g}$, what is the mass in $\left(\mathrm{g}\right)$ of ${\mathrm{N}}_2{\mathrm{O}}_5$ left after $9.6 \mathrm{hours}$?

The half-life of the reaction ${\mathrm{N}}_2{\mathrm{O}}_5 \left(\mathrm{g}\right)\to 2{\mathrm{NO}}_2 \left(\mathrm{g}\right)+\frac{1}{2}{\mathrm{O}}_2 \left(\mathrm{g}\right)$ is $2.4 \mathrm{h}$ at $30 °\mathrm{C}$.

How much time is required to reduce $5.0\times {10}^{10}$ molecules of ${\mathrm{N}}_2{\mathrm{O}}_5$ to $1.0\times {10}^8$ molecules?

Which of the following is/are correct for the first order reaction?

(I) 

(II) 

(III)