Embibe Experts Solutions for Chapter: Chemical Kinetics, Exercise 1: AMU-AT (B.Tech.) 2017

For a second order reaction, ($2\mathrm{A}\to$ Product) $\frac{1}{\left[\mathrm{A}\right]}$ vs $t$ is represented as

The ratio of the half-life time $\left(t_{1/2}\right),$ to the three quarter life-time, $\left(t_{3/4}\right),$ for a reaction that is sècond order

The rate constant, the activiation energy and the Arrhenius parameter of a chemical reaction at $25°\mathrm{C}$ are $3.0\times {10}^{-4} {\mathrm{s}}^{-1}$ $104.4 \mathrm{kJ} {\mathrm{mol}}^{-1}$ and $6.0\times {10}^{14} {\mathrm{s}}^{-1}$, respectively. The value of the rate constant at $\mathrm{T}\to \infty$ is

For the reaction,

$A+B\to P=-\frac{d\left[A\right]}{dt}=-\frac{d\left[B\right]}{dt}=k\left[A\right]\left[B\right]$ and

$kt=\frac{1}{[A{]}_0-[B{]}_0}\ln \frac{\left[A\right][B{]}_0}{\left[B\right][A{]}_0}$ when, $[A{]}_0\ne [B{]}_0$
If, $[A{]}_0=[B{]}_0$ then the integrated rate law will he

The half-life period of a radioactive element is $140$ days. After $700$ days, $1 \mathrm{g}$ of the element will reduce to

Acid hydrolysis of sucrose is a

One gram of ($\mathrm{A}$) decays by $\mathrm{\beta }$-emission to $0.125 \mathrm{g}$ in $200$ years. The half-life period of the reaction is

The unit of second order reaction rate constant is;