To solve the problem, we need to determine the correct IUPAC name of the complex [Pt(NH3)2Cl2]$^{2+}$.
1. Identifying the Central Metal Ion:
The central metal ion in the complex is platinum (Pt), which has a charge of +2, as indicated by the overall charge of the complex being +2.
2. Identifying the Ligands:
The ligands present in the complex are ammonia (NH3) and chloride (Cl-). Ammonia is a neutral ligand, and chloride is a monodentate anionic ligand.
3. Naming the Ligands:
The ligand ammonia is named "ammine," and chloride is named "chloro." There are two of each ligand in the complex.
4. Determining the Oxidation State of Platinum:
To determine the oxidation state of platinum, we assign oxidation states to the ligands. Ammonia is neutral, and chloride has a charge of -1. Let the oxidation state of platinum be x. The total charge of the complex is +2, so we have the equation:
x + 2(-1) = +2
Solving for x: x - 2 = +2, so x = +4.
5. Writing the Full Name:
According to the IUPAC nomenclature, the complex is named by first naming the ligands in alphabetical order, followed by the central metal ion with its oxidation state in parentheses.
Final Answer:
The correct IUPAC name of [Pt(NH3)2Cl2]$^{2+}$ is "diamminedichloroplatinum(IV) ion."
(i) Draw the diagram which indicates the splitting of d-orbitals in tetrahedral field.
(ii) Write any one limitation of valence bond theory.
(i)[Ni(CN)₄]²⁻ and [Ni(CO)(_4)] have different structures, but do not differ in their magnetic behaviour. Explain.
(ii) Write the formula of Tetraamineaquachloridocobalt(III)chloride.
(i) Write two postulates of Werner's coordination theory.
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A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).