Mention the number of unpaired electrons and geometry of the following complexes:
(i) \([NiCl_4]^{2-}\)
(ii) \([Ni(CN)_4]^{2-}\)
Convert the following:
(a) Ethanenitrile into ethanal.
(b) Cyclohexane into adipic acid.
- Oxidation State of Ni: \[ x + 4(-1) = -2 \Rightarrow x = +2 \] Thus, Ni is in the \( +2 \) oxidation state.
- Electronic Configuration of \( Ni^{2+} \): \[ [Ar] 3d^8 4s^0 \]
- Nature of Ligand:
- Chloride \( Cl^- \) is a weak field ligand, so it does not cause strong pairing.
- The tetrahedral geometry is favored.
- Unpaired Electrons & Hybridization:
- Hybridization: \( sp^3 \)
- Unpaired electrons: 2
- Geometry: Tetrahedral
- Oxidation State of Ni: \[ x + 4(-1) = -2 \Rightarrow x = +2 \] So, Ni is in the \( +2 \) oxidation state.
- Electronic Configuration of \( Ni^{2+} \): \[ [Ar] 3d^8 4s^0 \]
- Nature of Ligand:
- Cyanide \( (CN^-) \) is a strong field ligand, which causes pairing of electrons.
- The square planar geometry is preferred.
- Unpaired Electrons & Hybridization:
- Hybridization: \( dsp^2 \)
- Unpaired electrons: 0
- Geometry: Square Planar
Match the LIST-I with LIST-II
Choose the correct answer from the options given below:
Given below are two statements:
Statement I: A homoleptic octahedral complex, formed using monodentate ligands, will not show stereoisomerism
Statement II: cis- and trans-platin are heteroleptic complexes of Pd.
In the light of the above statements, choose the correct answer from the options given below
Match the following List-I with List-II and choose the correct option: List-I (Compounds) | List-II (Shape and Hybridisation) (A) PF\(_{3}\) (I) Tetrahedral and sp\(^3\) (B) SF\(_{6}\) (III) Octahedral and sp\(^3\)d\(^2\) (C) Ni(CO)\(_{4}\) (I) Tetrahedral and sp\(^3\) (D) [PtCl\(_{4}\)]\(^{2-}\) (II) Square planar and dsp\(^2\)
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
Solve the following L.P.P. by graphical method:
Maximize:
\[ z = 10x + 25y. \] Subject to: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]