Embibe Experts Solutions for Chapter: Chemical Kinetics, Exercise 1: Assam CEE 2016

Hydrolysis of ester is a first order reaction. For this reaction, the correct statement is

The rate constant for the reaction $2{ \mathrm{N}}_2{\mathrm{O}}_5\to 4{\mathrm{NO}}_2+{\mathrm{O}}_2$ is $3.0\times {10}^{-4}{ \mathrm{s}}^{-1}.$ If the rate is $2.4\times {10}^{-5}{ \mathrm{mol}}^{-1}{ \mathrm{s}}^{-1}$
at room temperature, then the concentration of $\mathrm{N} {}_2{\mathrm{O}}_5$ in $\mathrm{mol} {\mathrm{L}}^{-1}$ is

$75\%$ of a first-order reaction is completed in $32$ minutes. The ${\mathrm{t}}_{1/2}$ of the reaction is:

If the time required for $99\%$ completion of a first- order reaction is ${\mathrm{t}}_1$ and the time required for $90\%$ completion of the same reaction is ${\mathrm{t}}_2$, then what will be the correct relation between ${\mathrm{t}}_1$ and ${\mathrm{t}}_2?$