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Find out the number of cation (s) which ...

Find out the number of cation (s) which form(s) black ppt. (soluble in hot and dilute `HNO_(3)`) on passing `H_(2)S` gas into their salt solution?
`Mg^(2+)(aq.)Cu^(2+)(aq.),Ba^(2+)(aq.),Fe^(3+)(aq.),Ag^(+)(aq.),Al^(3+)(aq.),Hg^(2+)(aq.),Pb^(2+)(aq.),Mn^(2+)(aq.)`

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The correct Answer is:
To determine the number of cations that form a black precipitate soluble in hot and dilute HNO₃ when H₂S gas is passed into their salt solutions, we will analyze each given cation step by step. ### Step-by-Step Solution: 1. **Identify the given cations:** The cations provided are: - Mg²⁺ - Cu²⁺ - Ba²⁺ - Fe³⁺ - Ag⁺ - Al³⁺ - Hg²⁺ - Pb²⁺ - Mn²⁺ 2. **Analyze each cation for black precipitate formation with H₂S:** - **Mg²⁺:** Does not form a precipitate with H₂S. - **Cu²⁺:** Forms a black precipitate of CuS (copper sulfide). - **Ba²⁺:** Does not form a precipitate with H₂S. - **Fe³⁺:** Does not form a precipitate with H₂S. - **Ag⁺:** Forms a black precipitate of Ag₂S (silver sulfide). - **Al³⁺:** Forms a white precipitate of Al(OH)₃, not black. - **Hg²⁺:** Forms a red precipitate of HgS (mercury sulfide), not black. - **Pb²⁺:** Forms a black precipitate of PbS (lead sulfide). - **Mn²⁺:** Forms a pink precipitate of MnS (manganese sulfide), not black. 3. **List the cations that form black precipitates:** From the analysis: - Cu²⁺ → CuS (black) - Ag⁺ → Ag₂S (black) - Pb²⁺ → PbS (black) 4. **Check solubility in hot and dilute HNO₃:** - **CuS:** Soluble in hot and dilute HNO₃. - **Ag₂S:** Soluble in hot and dilute HNO₃. - **PbS:** Soluble in hot and dilute HNO₃. 5. **Count the number of cations that meet the criteria:** The cations that form a black precipitate and are soluble in hot and dilute HNO₃ are: - Cu²⁺ - Ag⁺ - Pb²⁺ Thus, the total number of cations that form a black precipitate soluble in hot and dilute HNO₃ is **3**. ### Final Answer: The number of cations that form a black precipitate soluble in hot and dilute HNO₃ is **3** (Cu²⁺, Ag⁺, Pb²⁺).
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