Match the term given in Column I withthe equation given in Column II
`{:("Column I " , "Column II") , ("(A) Enthalpy of formation", (p) CuSO_(4) (s) + 5 H_(2) O (l) to CuSO_(4) 5H_(2)O), ("(B) Enthalpy of combustion" , (q) CuSO_(4) (s) + nH_(2) O (l) to CuSO_(4) (aq)),("(C) Enthalpy of solution " , (r) C(s) + O_(2) (g) to CO_(2) (g)) , ("(D) Enthalpy of hydration" , (s) CH_(4) + 2 O_(2) to CO_(2) + 2 H_(2)O):}`

Answer

To solve the problem of matching the terms in Column I with the equations in Column II, we will analyze each term and its corresponding definition.

### Step-by-Step Solution:

1. **Identify the Terms in Column I**:
- (A) Enthalpy of formation
- (B) Enthalpy of combustion
- (C) Enthalpy of solution
- (D) Enthalpy of hydration

2. **Understand Each Term**:
- **Enthalpy of Formation**: This refers to the heat change when one mole of a compound is formed from its elements in their standard states.
- **Enthalpy of Combustion**: This is the heat change when one mole of a substance is completely burned in oxygen.
- **Enthalpy of Solution**: This is the heat change when one mole of solute is dissolved in a solvent.
- **Enthalpy of Hydration**: This refers to the heat change when one mole of an ionic compound is dissolved in water.

3. **Analyze Column II Equations**:
- (p) \( \text{CuSO}_4 (s) + 5 \text{H}_2O (l) \rightarrow \text{CuSO}_4 \cdot 5\text{H}_2O \)
- (q) \( \text{CuSO}_4 (s) + n\text{H}_2O (l) \rightarrow \text{CuSO}_4 (aq) \)
- (r) \( \text{C}(s) + \text{O}_2 (g) \rightarrow \text{CO}_2 (g) \)
- (s) \( \text{CH}_4 + 2 \text{O}_2 \rightarrow \text{CO}_2 + 2 \text{H}_2O \)

4. **Match Each Term with the Appropriate Equation**:
- **(A) Enthalpy of formation**: This matches with (r) because it describes the formation of CO2 from carbon and oxygen, which is a formation reaction.
- **(B) Enthalpy of combustion**: This matches with (s) as it describes the complete combustion of methane (CH4) in oxygen, producing CO2 and water.
- **(C) Enthalpy of solution**: This matches with (q) because it describes the dissolution of solid CuSO4 into an aqueous solution.
- **(D) Enthalpy of hydration**: This matches with (p) as it describes the process of CuSO4 solid combining with water to form a hydrated compound.

5. **Final Matches**:
- (A) → (r)
- (B) → (s)
- (C) → (q)
- (D) → (p)

### Final Answer:
- (A) Enthalpy of formation → (r)
- (B) Enthalpy of combustion → (s)
- (C) Enthalpy of solution → (q)
- (D) Enthalpy of hydration → (p)