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Which of the following statements is inc...

Which of the following statements is incorrect?

A

In ferrocyanide ion, the effective atomic number is 36

B

Ferricyanide ion is more stable than ferrocyanide ion

C

`[Cr(H_(2)O)_(6)]^(3+) and [Cr(NH_(3))_(6)]^(3+)" have "sp^(3)d^(2) and d^(2)sp^(3)` and have and hybridization respectively.

D

In `[Co(H_(2)O)_(6)]^(2+)` the hybridization `sp^(3)d^(2)` is while in `[Co(NH_(3))_(6)]^(3+)` the hybridization is `d^(2)sp^(3)`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which statement is incorrect regarding the effective atomic number (EAN) and hybridization of complexes, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Effective Atomic Number (EAN):** - The EAN is calculated using the formula: \[ \text{EAN} = Z - n + 2m \] where \( Z \) is the atomic number of the central metal atom, \( n \) is the oxidation state of the metal, and \( m \) is the number of ligands. 2. **Calculate EAN for Ferrocyanide:** - For Ferrocyanide, the formula is \( \text{Fe(CN)}_6^{4-} \). - The oxidation state of Fe in this complex can be calculated as follows: - Each cyanide (CN) has a charge of -1, and there are 6 cyanides, giving a total charge of -6. - To balance this with the overall charge of -4, Fe must have a charge of +2. - Therefore, the oxidation state of Fe is +2. 3. **Determine Atomic Number of Iron:** - The atomic number of iron (Fe) is 26. 4. **Substituting Values into EAN Formula:** - Now substituting into the EAN formula: \[ \text{EAN} = 26 - 2 + 2 \times 6 \] \[ \text{EAN} = 26 - 2 + 12 = 36 \] - This confirms that the EAN for Ferrocyanide is indeed 36. 5. **Hybridization of Complexes:** - For \( \text{Cr(H}_2\text{O)}_6^{3+} \) and \( \text{Cr(NH}_3)_6^{3+} \): - Both complexes have a +3 charge on chromium. - The hybridization for \( \text{Cr(H}_2\text{O)}_6^{3+} \) is \( d^2sp^3 \) since water is a weak field ligand and does not cause pairing. - The hybridization for \( \text{Cr(NH}_3)_6^{3+} \) is \( d^2sp^3 \) as well because ammonia is a strong field ligand and can cause pairing. 6. **Hybridization of Cobalt Complexes:** - For \( \text{Co(H}_2\text{O)}_6^{2+} \): - Cobalt has an atomic number of 27, and in the +2 oxidation state, it has 7 d-electrons. - The hybridization is \( sp^3d^2 \) because water is a weak field ligand. - For \( \text{Co(NH}_3)_6^{3+} \): - In the +3 oxidation state, cobalt has 6 d-electrons. - The hybridization is \( d^2sp^3 \) due to the strong field nature of ammonia. 7. **Identifying the Incorrect Statement:** - The statements regarding the EAN and hybridization of the complexes were analyzed. - The statement that claims \( \text{Co(H}_2\text{O)}_6^{2+} \) has \( sp^3d^2 \) hybridization while \( \text{Co(NH}_3)_6^{3+} \) has \( d^2sp^3 \) hybridization is correct. - Therefore, the incorrect statement must be identified from the options provided, which is likely related to the hybridization or EAN values. ### Conclusion: The incorrect statement is identified as **C** based on the analysis of EAN and hybridization.

To determine which statement is incorrect regarding the effective atomic number (EAN) and hybridization of complexes, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Effective Atomic Number (EAN):** - The EAN is calculated using the formula: \[ \text{EAN} = Z - n + 2m ...
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