ExamGOAL
Books
53
Subjective

Match the graph given in Column I with the order of reaction given in Column II. More than one item in Column I may link to the same item of Column II.

Column I Column II
A.
B. 1. First order
C. 2.
D.

Explanation

A. $\rightarrow$ (1) B. $\rightarrow$ (2) C. $\rightarrow$ (2) D. $\rightarrow$ (1)

For zero order reaction rate equation may be written as

$$[R]=-k t+\left[R_0\right]\quad\text{.... (i)}$$

Which denotes a straight line equation similar to $y=m x+c$

On transforming (i)

$$\begin{aligned} \frac{[R]-\left[R_0\right]}{t} & =-k \\ k & =\frac{\left[R_0\right]-[R]}{t} \end{aligned}$$

$$\begin{aligned} k & =\text { Rate } \\ \text { Rate } & =k \cdot[t]^0 \\ \text { Rate } & \propto[t]^0 \end{aligned}$$

For a first order reaction $\frac{d x}{d t} \propto[\text{concentration}]^{1}$

$\therefore$ Graph between rate and concentration may be drawn as

$$\begin{aligned} k & =\frac{2.303}{t} \log \frac{[R]_0}{[R]} \\ \frac{k t}{2.303} & =\log \left[\frac{R^{\circ}}{R}\right] \\ \frac{k t}{2.303} & =\log [R]_0-\log [R]\\ \log [R]&=\underset{\text { Slope }}{\left(\frac{-k}{2.303}\right)} t+\underset{\text { Intercept }}{\log [R]_0} \end{aligned}$$

54
Subjective

Match the statements given in Column I and Column II.

Column I Column II
A. Catalyst alters the rate of reaction 1. Cannot be fraction or zero
B. Molecularity 2. Proper orientation is not there
C. Second half-life of first order reaction 3. By lowering the activation energy
D. $e^{-E_a/RT}$ 4. Is same as the first
E. Energetically favourable reactions are sometimes slow 5. Total probability is one
F. Area under the Maxwell, Boltzmann curve is constant 6. Refers to the fraction of molecules with energy equal to or greater than activation energy

Explanation

A. $\rightarrow(3)$ B. $\rightarrow$ (1) C. $\rightarrow$ (4) D. $\rightarrow$ (6) E. $\rightarrow$ (2) F. $\rightarrow$ (5)

1. Catalyst alters the rate of reaction by lowering activation energy.

2. Molecularity can't be fraction or zero. If molecularity is zero, then reaction is not possible.

3. Second half-life of first order reaction is same as first because half-life time is temperature independent.

4. $e^{-E_Q / R T}$ refers to the fraction of molecules with kinetic energy equal to or greater than activation energy.

5. Energetically favourable reactions are sometimes slow due to improper orientation of molecule cause some ineffective collision of molecules.

6. Area under the Maxwell, Boltzmann curve is constant because total probability of molecule taking part in a chemical reaction is equal to one.

55
Subjective

Match the items of Column I and Column II.

Column I Column II
A. Diamond 1. Short interval of time
B. Instantaneous rate 2. Ordinarily rate of conversion is imperceptible
C. Average rate 3. Long duration of time

Explanation

A. $\rightarrow(2)$ B. $\rightarrow$ (1) C. $\rightarrow$ (3)

1. Diamond can't be converted into graphite under ordinary condition.

2. Instantaneous rate of reaction completes at very short span of time.

3. Average rate of reaction occurs to a long duration of time.

56
Subjective

Match the items of Column I and Column II.

Column I Column II
A. Mathematical expression for rate of reaction 1. Rate constant
B. Rate of reaction for zero order reaction is equal to 2. Rate law
C. Units of rate constant for zero order reaction is same as that of 3. Order of slowest step
D. Order of a complex reaction is determined by 4. Rate of reaction

Explanation

$\mathrm{A.\rightarrow (2)}$ $\quad \mathrm{B} \rightarrow(1) \quad \mathrm{C} \rightarrow(4) \quad \mathrm{D} \rightarrow(3)$

1. Mathematical expression for rate of reaction is known as rate law.

2. Rate of reaction for zero order reaction is equal to rate constant

$$\begin{aligned} & r=k[A]^0 \\ \therefore\quad& r=k \end{aligned}$$

3. Unit of rate of reaction is same as that of rate of reaction.

4. Order of complex reaction is determined by rate of a reaction, which is slowest.

57
MCQ (Single Correct Answer)

Assertion (A) Order of the reaction can be zero or fractional.

Reason (R) We cannot determine order from balanced chemical equation.

A
Both assertion and reason are correct and the reason is correct explanation of assertion.
B
Both assertion and reason are correct, but reason does not explain assertion.
C
Assertion is correct, but reason is incorrect.
D
Both assertion and reason are incorrect.
E
Assertion is incorrect, but reason is correct.