Which of the following is correct set?
`{:((i) "Hexane",(p) C_(4)H_(10)),((ii) "Ethane", (q) C_(6)H_(12)),((iii) "Pentene",(r ) C_(5)H_(12)),((iv) "Hexene", (s) C_(2)H_(6)), ((v) "Butane", (t) C_(6)H_(14)),(,(u) C_(4)H_(8)),(,(v) C_(5)H_(10)):}`

Options

A. (i)-(p), (ii)-(q), (iii)-(r ), (iv)-(v), (v)-(u)
B. (i)-(e ), (ii)-(s), (iii)-(v), (iv)-(u), (v)-(p)
C. (i)-(t), (ii)-(s), (iii)-(v), (iv)-(q), (v)-(p)
D. (i)-(r ), (ii)-(q), (iii)-(p), (iv)-(s), (v)-(t)

Answer

To solve the question of matching the compounds with their molecular formulas, we will analyze each compound and apply the appropriate formula for alkanes and alkenes.

### Step-by-Step Solution:

1. **Identify Hexane**:
- Hexane is an alkane.
- The general formula for alkanes is \( C_nH_{2n+2} \).
- For Hexane, \( n = 6 \).
- Therefore, the molecular formula is:
\[ C_6H_{2(6)+2} = C_6H_{14} \]
- Match: Hexane corresponds to \( C_6H_{14} \) (which is option (t)).

2. **Identify Ethane**:
- Ethane is also an alkane.
- For Ethane, \( n = 2 \).
- Therefore, the molecular formula is:
\[ C_2H_{2(2)+2} = C_2H_{6} \]
- Match: Ethane corresponds to \( C_2H_{6} \) (which is option (s)).

3. **Identify Pentene**:
- Pentene is an alkene.
- The general formula for alkenes is \( C_nH_{2n} \).
- For Pentene, \( n = 5 \).
- Therefore, the molecular formula is:
\[ C_5H_{2(5)} = C_5H_{10} \]
- Match: Pentene corresponds to \( C_5H_{10} \) (which is option (v)).

4. **Identify Hexene**:
- Hexene is also an alkene.
- For Hexene, \( n = 6 \).
- Therefore, the molecular formula is:
\[ C_6H_{2(6)} = C_6H_{12} \]
- Match: Hexene corresponds to \( C_6H_{12} \) (which is option (q)).

5. **Identify Butane**:
- Butane is another alkane.
- For Butane, \( n = 4 \).
- Therefore, the molecular formula is:
\[ C_4H_{2(4)+2} = C_4H_{10} \]
- Match: Butane corresponds to \( C_4H_{10} \) (which is option (p)).

### Summary of Matches:
- Hexane: \( C_6H_{14} \) → (t)
- Ethane: \( C_2H_{6} \) → (s)
- Pentene: \( C_5H_{10} \) → (v)
- Hexene: \( C_6H_{12} \) → (q)
- Butane: \( C_4H_{10} \) → (p)

### Final Answer:
The correct set of matches is:
- (i) Hexane - (t) C6H14
- (ii) Ethane - (s) C2H6
- (iii) Pentene - (v) C5H10
- (iv) Hexene - (q) C6H12
- (v) Butane - (p) C4H10

Thus, the answer is option **C**.