Chemical Kinetics

An organic compound undergoes first-order decomposition. The time taken for its decomposition to 1/8 and 1/10 of its initial concentration are $t_{1/8}$ and $t_{1/10}$ respectively. What is the value of $\dfrac{[t_{1/8}]}{[t_{1/10}]}\times10$? (take $\log_{10}2=0.3$)

Bombardment of aluminum by $\alpha$-particle leads to its artificial disintegration in two ways, (i) and (ii) as shown. Products X, Y and Z respectively are,

For the first order reaction
$$\ce{2N2O5(g) -> 4NO2(g) + O2(g)}$$

Plots showing the variation of the rate constant (k) with temperature (T) are given below. The plot that follows Arrhenius equation is

The concentration of R in the reaction R $\rightarrow$ P was measured as a function of time and the following data is obtained:

[R] (molar)	1.0	0.75	0.40	0.10
t (min.)	0.0	0.05	0.12	0.18

The order of the reaction is

The number of neutrons emitted when $^{235}_{92}\mathrm U$ undergoes controlled nuclear fission to $^{142}_{54}\mathrm{Xe}$ and $^{90}_{38}\mathrm{Sr}$ is

For a first order reaction A → P, the temperature (T) dependent rate constant ($k$) was found to follow the equation $\log k=-(2000)\dfrac1T+6.0$. The pre-exponential factor A and the activation energy $E_a$, respectively, are

The total number of $\alpha$ and $\beta$ particles emitted in the nuclear reaction $\ce{^{238}_{92}U -> ^{214}_{82}Pb}$ is

Under the same reaction conditions, initial concentration of 1.386 mol dm⁻³ of a substance becomes half in 40 seconds and 20 seconds through first order and zero order kinetics, respectively. Ratio $\left(\dfrac{k_1}{k_0}\right)$ of the rate constants for first order $(k_1)$ and zero order $(k_0)$ of the reactions is

STATEMENT-1: The plot of atomic number (y-axis) versus number of neutrons (x-axis) for stable nuclei shows a curvature towards x-axis from the line of 45° slope as the atomic number is increased.

and

STATEMENT-2: Proton-proton electrostatic repulsions begin to overcome attractive forces involving protons and neutrons in heavier nuclides.

A positron is emitted from $\ce{^{23}_{11}Na}$. The ratio of the atomic mass and atomic number of the resulting nuclide is

Consider a reaction aG + bH → Products. When concentration of both the reactants G and H is doubled, the rate increases by eight times. However, when concentration of G is doubled keeping the concentration of H fixed, the rate is doubled. The overall order of the reaction is