`I_(2)+Na_(2)CO_(3)` "soln." `overset(Hot)toX+Y`
If 'X' gives coloured ppt. with `Pb(CH_(3)COO)_(2)` solution, then 'Y' will respond to which of the following ?

Options

A. `Y+H^(+)(aq.)+H_(2)S`
B. `Y+Cr_(2)O_(7)^(2-)(aq.)+OH^(-)(aq.)`
C. `Y+H^(+)(aq.)+SO_(2)`
D. `Y+H^(+)(aq.)+I^(-)(aq.)`

Answer

To solve the problem, we will follow these steps:

### Step 1: Identify the Reaction
We start with the reaction between iodine (I₂) and sodium carbonate (Na₂CO₃) in hot conditions. The reaction can be summarized as:
\[ I_2 + Na_2CO_3 \rightarrow X + Y \]

### Step 2: Determine the Products
When iodine reacts with sodium carbonate in hot conditions, it produces iodide ions (I⁻) and iodate ions (IO₃⁻). Thus, we can identify:
- \( X = NaI \) (sodium iodide)
- \( Y = IO_3^- \) (iodate ion)

### Step 3: Analyze Product X
The problem states that 'X' gives a colored precipitate with lead acetate (Pb(CH₃COO)₂). When sodium iodide (NaI) reacts with lead acetate, it forms lead iodide (PbI₂), which is a yellow precipitate:
\[ NaI + Pb(CH_3COO)_2 \rightarrow PbI_2 (s) + CH_3COONa \]

### Step 4: Identify the Response of Product Y
Now, we need to determine how 'Y' (IO₃⁻) responds to various reactions. We will evaluate the options given in the question.

1. **Option A**: \( IO_3^- + H^+ + H_2 \rightarrow \) (forms a precipitate)
- This is a valid reaction where IO₃⁻ can react under acidic conditions.

2. **Option B**: \( IO_3^- + Cr_2O_7^{2-} + OH^- \rightarrow \) (no reaction)
- This is correct because dichromate does not exhibit oxidizing properties in alkaline medium.

3. **Option C**: \( IO_3^- + H^+ + SO_2 \rightarrow \) (forms sulfate and I₃⁻)
- This is also a valid reaction where IO₃⁻ can react with sulfur dioxide.

4. **Option D**: \( IO_3^- + H^+ + I^- \rightarrow \) (comproportionation reaction)
- This reaction is valid as well, resulting in the formation of I₂.

### Conclusion
From the analysis, we find that 'Y' (IO₃⁻) responds to options A, C, and D, but not to option B.

### Final Answer
Thus, the correct options for the response of 'Y' are A, C, and D.

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