Match List -I (Equations) with List -II (Type of processes) and select the correct option.
`{:(,"List -I",,"List -II"),(,"Equation",,"Type of processes"),((a),K_(p)gt Q,(i),"Non spontaneous"),((b),Delta G^(@)lt RT ln Q,(ii),"Equilibrium"),((c ),Kp = Q,(iii),"Spontaneous and endothermic"),((d),T gt (Delta H)/(Delta S),(iv),"Spontaneous"):}`

Options

A. `{:("(a) (b) (c) (d)"),("(iii) (iv) (ii) (i)"):}`
B. `{:("(a) (b) (c) (d)"),("(iv) (i) (ii) (iii)"):}`
C. `{:("(a) (b) (c) (d)"),("(ii) (i) (iv) (iii)"):}`
D. `{:("(a) (b) (c) (d)"),("(i) (ii) (iii) (iv)"):}`

Answer

To solve the problem of matching the equations from List-I with the types of processes from List-II, we will analyze each equation step by step.

### Step-by-Step Solution:

1. **Equation (a): Kp > Q**
- **Analysis**: When the equilibrium constant (Kp) is greater than the reaction quotient (Q), it indicates that the forward reaction is favored. This means that the reaction will proceed in the forward direction until equilibrium is reached. This process is spontaneous.
- **Match**: (a) → (iv) "Spontaneous"

2. **Equation (b): ΔG° < RT ln Q**
- **Analysis**: If ΔG° (Gibbs free energy change) is less than RT ln Q, it implies that the reaction is non-spontaneous in the forward direction. This means the reverse reaction is favored, making the forward reaction non-spontaneous.
- **Match**: (b) → (i) "Non spontaneous"

3. **Equation (c): Kp = Q**
- **Analysis**: When Kp equals Q, it indicates that the system is at equilibrium. At this point, the rates of the forward and reverse reactions are equal, and no net change occurs in the concentrations of the reactants and products.
- **Match**: (c) → (ii) "Equilibrium"

4. **Equation (d): T > ΔH/ΔS**
- **Analysis**: If the temperature (T) is greater than ΔH/ΔS, it can be rearranged to show that ΔG° is negative (ΔG° = ΔH - TΔS). A negative ΔG° indicates that the reaction is spontaneous. Since ΔH is positive, this implies that the reaction is endothermic (absorbs heat).
- **Match**: (d) → (iii) "Spontaneous and endothermic"

### Final Matches:
- (a) → (iv) "Spontaneous"
- (b) → (i) "Non spontaneous"
- (c) → (ii) "Equilibrium"
- (d) → (iii) "Spontaneous and endothermic"

### Summary of Matches:
- A: 4
- B: 1
- C: 2
- D: 3