Match list -I with list-II and choose the correct answer from the codes given below.
`{:("List-I","List-II"),(N_2O_3hArrNO+NO_2,K_p=K_c(RT)),(NH_3hArr1/2N_2+3/2H_2,K_c=K_p(RT)),(2SO_2+O_2hArr2SO_3,K_c=K_p),(N_2+O_2hArr2NO,K_p=K_c(RT)^2),("",Deltan = 0):}`

Answer

To solve the matching question between List-I and List-II, we will analyze each reaction in List-I and calculate the change in the number of moles of gaseous products and reactants (ΔN) to find the corresponding equations in List-II.

### Step-by-Step Solution:

1. **First Reaction: N₂O₃ ⇌ NO + NO₂**
- **Identify Gaseous Products and Reactants:**
- Products: NO (1 mole) + NO₂ (1 mole) = 2 moles
- Reactants: N₂O₃ (1 mole) = 1 mole
- **Calculate ΔN:**
\[ ΔN = \text{moles of products} - \text{moles of reactants} = 2 - 1 = 1 \]
- **Use the formula:**
\[ K_p = K_c \cdot (RT)^{ΔN} = K_c \cdot (RT)^{1} \]
- **Match with List-II:**
- This corresponds to **K_p = K_c(RT)**.

2. **Second Reaction: NH₃ ⇌ 1/2 N₂ + 3/2 H₂**
- **Identify Gaseous Products and Reactants:**
- Products: 1/2 N₂ (0.5 moles) + 3/2 H₂ (1.5 moles) = 2 moles
- Reactants: NH₃ (1 mole) = 1 mole
- **Calculate ΔN:**
\[ ΔN = 2 - 1 = 1 \]
- **Use the formula:**
\[ K_p = K_c \cdot (RT)^{ΔN} = K_c \cdot (RT)^{1} \]
- **Match with List-II:**
- This corresponds to **K_p = K_c(RT)**.

3. **Third Reaction: 2SO₂ + O₂ ⇌ 2SO₃**
- **Identify Gaseous Products and Reactants:**
- Products: 2SO₃ (2 moles)
- Reactants: 2SO₂ (2 moles) + O₂ (1 mole) = 3 moles
- **Calculate ΔN:**
\[ ΔN = 2 - 3 = -1 \]
- **Use the formula:**
\[ K_p = K_c \cdot (RT)^{ΔN} = K_c \cdot (RT)^{-1} \]
\[ K_c = K_p \cdot (RT) \]
- **Match with List-II:**
- This corresponds to **K_c = K_p(RT)**.

4. **Fourth Reaction: N₂ + O₂ ⇌ 2NO**
- **Identify Gaseous Products and Reactants:**
- Products: 2NO (2 moles)
- Reactants: N₂ (1 mole) + O₂ (1 mole) = 2 moles
- **Calculate ΔN:**
\[ ΔN = 2 - 2 = 0 \]
- **Use the formula:**
\[ K_p = K_c \cdot (RT)^{0} \]
\[ K_p = K_c \]
- **Match with List-II:**
- This corresponds to **ΔN = 0** and **K_p = K_c**.

### Final Matching:
- 1. N₂O₃ ⇌ NO + NO₂ → **K_p = K_c(RT)** (A)
- 2. NH₃ ⇌ 1/2 N₂ + 3/2 H₂ → **K_p = K_c(RT)** (A)
- 3. 2SO₂ + O₂ ⇌ 2SO₃ → **K_c = K_p(RT)** (B)
- 4. N₂ + O₂ ⇌ 2NO → **ΔN = 0** and **K_p = K_c** (C, E)