Question

Match List I (Equations) with List II (Types of process) and select the correct option.

List-I (Equations)		List-II (Types of process)
A.	$K_p > Q $	1.	Non-spontaneous
B.	$\Delta G^{\circ} < RT \, In \, Q $	2	Equilibrium
C.	$K_p = Q $	3	Spontaneous and endothermic
D.	$T > \frac{\Delta H}{\Delta S}$	4	Spontaneous

• A. (A) $\to$ 1 ,(B) $\to$ 2 ,(C) $\to$ 3 ,(D ) $\to$ 4
• B. (A) $\to$ 3 ,(B) $\to$ 4 ,(C) $\to$ 2 ,(D ) $\to$ 1
• C. (A) $\to$ 4 ,(B) $\to$ 1 ,(C) $\to$ 2 ,(D ) $\to$ 3
• D. (A) $\to$ 2 ,(B) $\to$ 1 ,(C) $\to$ 4 ,(D ) $\to$ 3

Answer 1

Answer: (C)

(A) When $K_{P} > Q$, the reaction goes in forward direction, i.e., the reaction is spontaneous.
(B) Given, $\Delta G^{\circ} < R T \ln Q$
thus, $\Delta G^{\circ}=+$ ve
and hence, the reaction is non-spontaneous.
(C) At equilibrium, $K_{P}=Q$
(D) $T >\frac{\Delta H}{\Delta S}$
or $T \Delta S > \Delta H$
This condition is true for spontaneous endothermic reactions (as $\Delta G \geq \Delta H-T \Delta S)$