Which of the following statement(s) is /are false ?

Options

A. `Fe^(3+)` gives red precipitate with dimethyl glyoxime in alkaline solution.
B. `Cu^(2+)` ion with potassium iodide solution gives a dirty brownish white precipitate which turns white on adding hypo solution.
C. A filter paper soaked in mercurous nitrate turns black in contact with ammonia gas.
D. `Ag_(2)O` does not dissolve in nitric acid and ammonia solution.

Explanation

To determine which of the statements are false, we will analyze each statement one by one.

### Step 1: Analyze Statement A
**Statement A:** "Fe³⁺ gives a red precipitate with dimethylglyoxime in alkaline solution."

- **Analysis:** This statement is false. The red precipitate with dimethylglyoxime (DMG) is formed when Fe²⁺ ions react with DMG, not Fe³⁺ ions. Therefore, this statement is incorrect.

### Step 2: Analyze Statement B
**Statement B:** "Cu²⁺ with potassium iodide solution gives a dirty brownish-white precipitate which turns white on the addition of hypo solution."

- **Analysis:** This statement is true. When Cu²⁺ ions react with potassium iodide (KI), they form a precipitate that is indeed dirty brownish-white. The addition of hypo (sodium thiosulfate) can bleach the precipitate, turning it white. Therefore, this statement is correct.

### Step 3: Analyze Statement C
**Statement C:** "A filter paper soaked in mercurous nitrate turns black in contact with ammonia gas."

- **Analysis:** This statement is true. When mercurous nitrate reacts with ammonia gas, it forms mercuric amide, which results in a black coloration on the filter paper. Thus, this statement is correct.

### Step 4: Analyze Statement D
**Statement D:** "Ag₂O does not dissolve in nitric acid and ammonia solution."

- **Analysis:** This statement is false. Silver oxide (Ag₂O) does dissolve in nitric acid (HNO₃) and ammonia (NH₃) solution, forming a complex ion [Ag(NH₃)₂]⁺. Therefore, this statement is incorrect.

### Conclusion
After analyzing all the statements, we find that the false statements are:
- Statement A: "Fe³⁺ gives a red precipitate with dimethylglyoxime in alkaline solution."
- Statement D: "Ag₂O does not dissolve in nitric acid and ammonia solution."

### Final Answer
The false statements are A and D.

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