ExamGOAL
Books
40
Subjective

Match standard free energy of the reaction with the corresponding equilibrium constant.

A. $$
\Delta G^{\ominus}>0
$$
1. $$K > 1$$
B. $$
\Delta G^{\ominus}<0
$$
2. $$K=1$$
C. $$
\Delta G^{\ominus}=0
$$
3. $$K=0$$
4. $$K < 1$$

Explanation

A. $\rightarrow(4)$

B. $\rightarrow$ (1)

C. $\rightarrow(2)$

As we know that, $\Delta G^{\ominus}=-R T \ln K$

A. If $\Delta G^{\circ}>0$, i.e., $\Delta G^{\circ}$ is positive, then $\ln K$ is negative i.e., $K<1$.

B. If $\Delta G^{\circ}<0$, i.e., $\Delta G^{\circ}$ is negative then $\ln K$ is positive i.e., $K>1$.

C. If $\Delta G^{\ominus}=0, \ln K=0$, i.e., $K=1$.

41
Subjective

Match the following species with the corresponding conjugate acid.

Species Conjugate acid
A. $$
\mathrm{NH}_3
$$
1. $$
\mathrm{CO}_3^{2-}
$$
B. $$
\mathrm{HCO}_3^{-}
$$
2. $$
\mathrm{NH}_4^{+}
$$
C. $$
\mathrm{H}_2 \mathrm{O}
$$
3. $$
\mathrm{H}_3 \mathrm{O}^{+}
$$
D. $$
\mathrm{HSO}_4^{-}
$$
4. $$
\mathrm{H}_2 \mathrm{SO}_4
$$
5. $$
\mathrm{H}_2 \mathrm{CO}_3
$$

Explanation

A. $\rightarrow$ (2)

B. $\rightarrow(5)$

C. $\rightarrow(3)$

D. $\rightarrow$ (4)

As conjugate acid $\rightarrow$ Base $+\mathrm{H}^{+}$

A. $\mathrm{NH}_3+\mathrm{H}^{+} \longrightarrow \mathrm{NH}_4^{+}$

B. $\mathrm{HCO}_3^{-}+\mathrm{H}^{+} \longrightarrow \mathrm{H}_2 \mathrm{CO}_3$

C. $\mathrm{H}_2 \mathrm{O}+\mathrm{H}^{+} \longrightarrow \mathrm{H}_3 \mathrm{O}^{+}$

D. $\mathrm{HSO}_4^{-}+\mathrm{H}^{+} \longrightarrow \mathrm{H}_2 \mathrm{SO}_4$

42
Subjective

Match the following graphical variation with their description.

A B
A. 1. Variation in product concentration with time
B. 2. Reaction at equilibrium
C. 3. Variation in reactant concentration with time

Explanation

A. $\rightarrow$ (3)

B. $\rightarrow(1)$

C. $\rightarrow(2)$

A. Graph (A) represents variation of reactant concentration with time.

B. Graph (B) represents variation of product concentration with time.

C. Graph (C) represents reaction at equilibrium.

43
Subjective

Match the Column I with Column II.

Column I Column II
A.. Equilibrium 1. $$
\Delta G>0, K<1
$$
B. Spontaneous reaction 2. $$\Delta G=0$$
C. Non-spontaneous reaction 3. $$\Delta G^\circ =0$$
4. $$\Delta G < 0, K > 1$$

Explanation

A. $\rightarrow(2,3)$

B. $\rightarrow$ (4)

C. $\rightarrow(1)$

A. $\Delta G\left(\Delta G^{\ominus}\right)$ is 0 , reaction has achieved equilibrium: at this point, there is no longer any free energy left to drive the reaction.

B. If $\Delta G<0$, then $K>1$ which implies a spontaneous reaction or the reaction which proceeds in the forward direction to such an extent that the products are present predominantly.

C. If $\Delta G>0$, then $K<1$, which implies a non-spontaneous reaction or a reaction which proceeds in the forward direction to such a small degree that only a very minute quantity of product is formed.

44
MCQ (Single Correct Answer)

Assertion (A) Increasing order or acidity of hydrogen halides is $\mathrm{HF}<\mathrm{HCI}<\mathrm{HBr}<\mathrm{HI}$.

Reason (R) While comparing acids formed by the elements belonging to the same group of periodic table, H-A bond strength is a more important factor in determining acidity of an acid than the polar nature of the bond.

A
Both $A$ and $R$ are true $R$ is the correct explanation of $A$
B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
C
$A$ is true but $R$ is false
D
Both A and R are false