Which of the following are correct statements about `C_(2)H_(5)`Br.

Options

A. It reacts with metallic Na to give ethane
B. It gives nitroethane on heating with aqueous ethanolic solution of `"AgNO"_(2)`
C. It gives `C_(2)H_(5)`OH as major product on boiling with alcoholic potash
D. none of these

Answer

To determine which statements about C₂H₅Br (ethyl bromide) are correct, we will analyze each statement step by step.

### Step 1: Analyze the first statement
**Statement:** C₂H₅Br reacts with metallic Na to give ethane.

**Analysis:**
- The reaction of C₂H₅Br with metallic sodium is known as the Wurtz reaction.
- In this reaction, two molecules of ethyl bromide (C₂H₅Br) react with sodium (Na) to form butane (C₄H₁₀) and sodium bromide (NaBr).

**Reaction:**
\[ 2 \text{C}_2\text{H}_5\text{Br} + 2 \text{Na} \rightarrow \text{C}_4\text{H}_{10} + 2 \text{NaBr} \]

**Conclusion:** This statement is **incorrect** because the product is butane, not ethane.

### Step 2: Analyze the second statement
**Statement:** C₂H₅Br gives nitroethane on heating with the aqueous ethanolic solution of AgNO₂.

**Analysis:**
- When C₂H₅Br is treated with AgNO₂, the AgNO₂ dissociates into Ag⁺ and NO₂⁻.
- The NO₂⁻ ion acts as a nucleophile and attacks the carbocation formed after bromine leaves.

**Reaction:**
1. Formation of carbocation:
\[ \text{C}_2\text{H}_5\text{Br} \rightarrow \text{C}_2\text{H}_5^+ + \text{Br}^- \]
2. Nucleophilic attack by NO₂⁻:
\[ \text{C}_2\text{H}_5^+ + \text{NO}_2^- \rightarrow \text{C}_2\text{H}_5\text{NO}_2 \]

**Conclusion:** This statement is **correct** as the product is nitroethane (C₂H₅NO₂).

### Step 3: Analyze the third statement
**Statement:** C₂H₅Br gives C₂H₅OH on reaction with alcoholic KOH.

**Analysis:**
- When C₂H₅Br reacts with alcoholic KOH, it undergoes elimination rather than substitution.
- The alcoholic KOH acts as a base and abstracts a proton, leading to the formation of an alkene (ethene) and HBr.

**Reaction:**
\[ \text{C}_2\text{H}_5\text{Br} + \text{KOH (alc)} \rightarrow \text{C}_2\text{H}_4 + \text{HBr} + \text{KBr} \]

**Conclusion:** This statement is **incorrect** because the product is ethene (C₂H₄), not ethanol (C₂H₅OH).

### Final Summary:
- **First statement:** Incorrect (produces butane, not ethane).
- **Second statement:** Correct (produces nitroethane).
- **Third statement:** Incorrect (produces ethene, not ethanol).