For a reaction A → B, the Arrhenius equation is given as  \(log_{e}k \ = \ 4 \ - \ \frac{1000}{T}\) the activation energy in J/mol for the given reaction will be:

1. 8314

2. 2000

3. 2814

4. 3412

For a reaction:-

${6\mathrm{H}}^{+}+<mspace\; width="1em"></mspace>5{\mathrm{Br}}^{-}+<mspace\; width="1em"></mspace>\mathrm{Br}{\mathrm{O}}_3^{-}\to 3{\mathrm{Br}}_2+<mspace\; width="1em"></mspace>6{\mathrm{H}}_2\mathrm{O}$

lf rate of consumption of BrO${{}_3}^{-}$ is x mol ${\mathrm{L}}^{-1}{\mathrm{s}}^{-1}$. Then calculate the rate of formation of Br${}_2$:-

1. $\frac{x}{3}$

2. $\frac{2x}{3}$

3. $\frac{x}{4}$

4. 3x

The half-life of the two samples is 0.1 and 0.4 seconds, respectively. Their concentrations are 200 and 50, respectively. The order of the reactions will be:

1. 0

2. 2

3. 1

4. 4

Which of the following is the time required to reduce the amount of a reactant from 2.0 g to 0.2 g for a first-order reaction with rate constant \(k = 4.606 \times 10^{-3} \, \text{s}^{-1}\)?

An increase in the concentration of the reactants of a reaction leads to a change in:

Consider the plots, given below, for the types of reaction

nA$\to$B+C

These plots respectively correspond to the reaction orders:

1. 0, 1, 2

2. 1, 2, 0

3. 1, 0, 2

4. None of the above

For a reaction $\frac{1}{2}A\to 2B$, rate of disappearance of 'A' is related to the rate of appearance of 'B' by the expression:

1. $-\frac{d\left[A\right]}{dt}=4\frac{d\left[B\right]}{dt}$

2. $-\frac{d\left[A\right]}{dt}=\frac{1}{2}\frac{d\left[B\right]}{dt}$

3. $-\frac{d\left[A\right]}{dt}=\frac{1}{4}\frac{d\left[B\right]}{dt}$

4. $-\frac{d\left[A\right]}{dt}=\frac{d\left[B\right]}{dt}$

For a first-order reaction $A\to P$, rate constant (k) [dependent on temperature (T)] was found
to follow the equation \(log \ k \ = \ (-2000)\frac{1}{T} \ + \ 6.0\). The pre-exponential factor A and
the activation energy $E_a$, respectively, are:

1. $1.0\times {10}^6$ $s^{-1}$ $and$ $9.2$ $kJ$ $mo{l}^{-1}$

2. $6.0$ $s^{-1}$ $and$ $16.6$ $kJ$ $mo{l}^{-1}$

3. $1.0\times {10}^6$ $s^{-1}$ $and$ $16.6$ $kJ$ $mo{l}^{-1}$

4. $1.0\times {10}^6$ $s^{-1}$ $and$ $38.3$ $kJ$ $mo{l}^{-1}$

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

1.   

2.  

3.   

4.  

The time for half-life period of a certain reaction A$\to$Products is 1 hour. When the initial concentration of the reactant 'A', is 2.0 mol $L^{-1}$, how much time does it take for its concentration to change from 0.50 to 0.25 mol $L^{-1}$ if it is a zero-order reaction?

1. 1 h

2. 4 h

3. 0.5 h

4. 0.25 h