Chemical Kinetics

Consider the first order reaction $\mathbf{X}(\mathrm{g}) \rightarrow 2 \mathbf{Y}(\mathrm{~g})$ studied as a function of time, at constant T and V . At any instant of time, the total pressure of the system is denoted…

The temperature dependence of the rate constants $(k)$ of a chemical reaction can be expressed in terms of Arrhenius equation, which contains the corresponding activation energy $\left(E_a\right)$ term. The correct plot…

The rate $(r)$ of a chemical reaction is plotted against time $(t)$ in graph 1 . The initial rate of the reaction is $r_0$. The plot of $\ln \left(r / r_0\right)$ with time is shown in graph 2. The correct statement(s)…

Consider a catalyzed reaction $R \rightarrow P . k_{\text {cat }}$ and $k_{\text {uncat }}$ are the rate constants for the catalyzed and uncatalyzed reactions, respectively. However, the catalyst becomes inactive at…

Consider the two first order reactions $\mathrm{X} \rightarrow \mathrm{Y}$ and $\mathrm{Y} \rightarrow \mathrm{X}$ for which the rate constants $k_1$ and $k_2$ are $4.0 \times 10^3 \mathrm{~s}^{-1}$ and $2.0 \times 10^3…

Kinetic energy $\left(E_k\right)$ of a molecule is related to its velocity $(v)$ by the expression, $E_k=$ $\frac{1}{2} m v^2 . E_k$ follows Boltzmann distribution as schematically given below. During a chemical…

Consider two reactions. I. A zero order reaction: $\text{X} \rightarrow \text{P}_1$. II. A first order reaction: $\text{Y} \rightarrow \text{P}_2$. Both reactions begin simultaneously with the same initial concentration…

Consider two radioactive substances $\mathbf{P}$ and $\mathbf{Q}$ that decay following a first order kinetics. It takes nine years for $\mathbf{P}$ for decay of $2 / 3^{\text {rd }}$ of its initial amount. In the same…

Consider the first order reaction $\mathbf{X}(\mathrm{g}) \rightarrow 2 \mathbf{Y}(\mathrm{~g})+2 \mathbf{Z}(\mathrm{~g})$, involving ideal gases $\mathbf{X}$, $\mathbf{Y}$, and $\mathbf{Z}$ inside a reaction chamber of…

Consider the radioactive decay, $\mathbf{X}$ (radioactive) $\rightarrow \mathbf{Y}$ (stable). At time $\mathrm{t}=0, \mathbf{X}$ is present in the pure form and at $t=2 \mathrm{~h}$, the ratio of amounts of $\mathbf{X}$…

The hydrolysis of sucrose in excess acid solution follows first-order kinetics and results in D-glucose and D-fructose. Since, sucrose, D-glucose, and D-fructose are optically active compounds, the progress of the…

For a chemical reaction, between two species, with activation energy $E_a$ and heat of reaction $\Delta H$, the correct statement(s) is/are