The rate constant of a first-order reaction is\(4 \times 10^{-3} \mathrm{sec}^{-1}.\) At a reactant concentration of \(0.02~\mathrm{M},\) the rate of reaction would be:

For a reaction of the type 2A + B $\to$ 2C, the rate of the reaction is given by $k{\left[A\right]}^2\left[B\right]$. When the volume of the reaction vessel is reduced to $\frac{1}{4}$ th of the original volume, the rate of reaction changes by a factor of:

1. 0.25                                                          

2. 16

3. 64                                                             

4. 4

For the elementary reaction M $\to$ N, the rate of disappearance of M increases by a factor of 8 upon doubling the concentration of M. The order of the reaction with respect to M will be:

1. 4

2. 3

3. 2

4. 1

The rate of a reaction increases 4-fold when concentration of reactant is increased 16 times.

If the rate of reaction is 4 × 10^-6 mol L^-1s^-1 when concentration of the reactant is 4 × 10^-4  mol L^-1, the rate constant of the reaction will be : 

1. 2 × 10^-4 m^1/2 L^-1/2 s^-1                            

2. 1 × 10^-2 s^-1

3. 4 × 10^-4 mol^-1/2 L^-1/2 s^-1                         

4. 25 mol^-1L min^-1                              

If ‘a’ is the initial concentration of a substance which reacts according to zero-order kinetics and k is the rate constant, the time for the reaction to go to completion will be:

For a general reaction A → B, the plot of concentration of A vs time is given below:

The unit of the rate constant would be:

Half-life is independent of the concentration of a reactant. After 10 minutes, the volume of N₂ gas is 10 L and after complete reaction, it is 50 L. Hence, the rate constant is:

1. $\frac{2.303}{10}$log 5 min^-1

2. $\frac{2.303}{10}$ log 1.25 min^-1

3. $\frac{2.303}{10}$ log 2 min^-1

4. $\frac{2.303}{10}$ log 4 min^-1

A first-order reaction is 15 % completed in 20 minutes. The amount of time required to complete 60 % of the reaction is:

Consider the first-order gas-phase decomposition reaction given below.

A(g) → B(g) + C(g)

The initial pressure of the system before the decomposition of A was ${\mathrm{P}}_{\mathrm{i}}$. After the lapse of time t, the total pressure of the system increased by X units and became ${\mathrm{P}}_{\mathrm{t}}$. The rate constant k for the reaction is: