Which of the following statement(s) is(are) correct ?

Options

A. `[Al(OH)_(4)]^(Θ) + NH_(4)^(o+) ._((aq)) overset("Slighty heat" ) to` white precipitate and liberation of ammonia
B. `Pb_((aq))^(2+) + 2Br_((aq))^(Θ) rarr` Red precipitate
C. `BiI_(3)` (black precipitate) `+ H_(2)O(1) overset(Delta) to` orange turbidity
D. `Fe_((aq))^(3+) + K_(4) [Fe(CN)_(6)] _((aq)) rarr` Blue precipitate

Explanation

To determine which of the statements regarding chemical reactions and precipitates are correct, we will analyze each statement one by one.

### Step-by-Step Solution:

1. **Analyze Statement 1:**
- The statement claims that Al(OH)4^- (aluminate ion) reacts with NH4^+ (ammonium ion) upon heating to form a white precipitate and liberate ammonia gas.
- **Reaction:** Al(OH)4^- + NH4^+ → Al(OH)3 (white precipitate) + NH3 (gas)
- **Conclusion:** This statement is correct because the reaction does indeed produce a white precipitate of Al(OH)3 and releases ammonia gas.

2. **Analyze Statement 2:**
- The statement claims that Pb^2+ (lead ion) reacts with bromide ions to produce a red precipitate.
- **Reaction:** Pb^2+ + 2Br^- → PbBr2 (white precipitate)
- **Conclusion:** This statement is incorrect because the precipitate formed is white (PbBr2), not red.

3. **Analyze Statement 3:**
- The statement claims that BiI3 (bismuth iodide) forms a black precipitate that, when hydrolyzed with water, produces an orange turbidity.
- **Reaction:** BiI3 + H2O → BiOI (orange turbidity)
- **Conclusion:** This statement is correct because the hydrolysis of BiI3 indeed results in the formation of BiOI, which appears as an orange precipitate.

4. **Analyze Statement 4:**
- The statement claims that Fe^3+ (iron(III) ion) reacts with K4[Fe(CN)6] (potassium ferrocyanide) to yield a blue precipitate.
- **Reaction:** Fe^3+ + K4[Fe(CN)6] → Fe3[Fe(CN)6]2 (blue precipitate)
- **Conclusion:** This statement is correct as the reaction produces a blue precipitate known as Turnbull's blue.

### Final Conclusion:
- **Correct Statements:** 1, 3, and 4 are correct.
- **Incorrect Statement:** 2 is incorrect.

### Summary of Correctness:
- **Statement 1:** Correct
- **Statement 2:** Incorrect
- **Statement 3:** Correct
- **Statement 4:** Correct