Saponification of ethyl acetate $\left({\mathrm{CH}}_3{\mathrm{COOC}}_2{\mathrm{H}}_5\right)$ by $\mathrm{NaOH}$ is studied by titration of the reaction mixture having $1:1$ molar ratio of the reactants. If $10 \mathrm{mL}$ of $1\mathrm{N} \mathrm{HCl}$ is required by $5 \mathrm{mL}$ of the solution at the start and $8 \mathrm{ml}$of $1\mathrm{N} \mathrm{HCl}$ is required by another $5 \mathrm{mL}$ after $10$ minutes, then the rate constant is-

Consider the decay of $\mathrm{P}$ to $\mathrm{A}$ and $\mathrm{B}$ by two parallel first-order reactions as shown in the figure

Which of the following is (are) true?

The rate expression for the reaction,

${\mathrm{NH}}_4\mathrm{CNO}\stackrel{\mathrm{k}}{\to }{\mathrm{NH}}_2{\mathrm{CONH}}_2$

can be derived from the mechanism,

$\left(\mathrm{i}\right)$ ${\mathrm{NH}}_4\mathrm{CNO}\underset{{\mathrm{k}}_2}{\overset{{\mathrm{k}}_1}{\rightleftharpoons }}{\mathrm{NH}}_4\mathrm{NCO} \left(\mathrm{Fast}\right)$

$\left(\mathrm{ii}\right)$ ${\mathrm{NH}}_4\mathrm{NCO}\stackrel{{\mathrm{k}}_3}{⟶}{\mathrm{NH}}_3+\mathrm{HNCO} \left(\mathrm{Fast}\right)$

$\left(\mathrm{iii}\right)$ ${\mathrm{NH}}_3+\mathrm{HNCO}\stackrel{{\mathrm{k}}_4}{⟶}{\mathrm{NH}}_2{\mathrm{CONH}}_2 \left(\mathrm{Slow}\right)$

Which of the following statements are correct about rate expression?