The unit of rate constant of a reaction with the rate law, Rate \(=k[A]^{3 / 2}[B]^{-1}\) is

p-block elements are placed in groups 13 to 18 of the periodic table. Group 15 is nitrogen family. Nitrogen makes various compounds like \(NH _3, HNO _3, N_2 O , NO _2\) etc. Phosphorus exists in the form of white and red phosphorus. White phosphorus glows in dark. \(PH _3\) gas is used as smoke screen. Group 16 is called oxygen family. Dry air contains \(21\% O_2\) gas by volume. Combined sulphur exists as sulphates such as gypsum, epsome salt, baryte etc. The allotropic forms of sulphur are Rhombic and monoclinic sulphur. \(S_2\) is paramagnetic like \(O_2\) and it stable at high temperature. Group 17 is Halogen family. \(F_2\) is highly reactive, \(C l_2\) is greenish yellow gas. Both \(S O_2\) and \(C l_2\) are used for bleaching. Group 18 is Noble gas family but some noble gases also form compounds.
Complete hydrolysis of \(XeF _6\) gives HF and \(XeO _3\) as main products.
The product of complete hydrolysis of \(XeF _6\) in the following reaction is
\(XeF _6+ H _2 O \rightarrow ?+ HF\)

What is the increasing order of reactivity of the following compounds towards SN1 reactions?
(A). \(C _6 H _5 CH _2 Br\)
(B). \(C _6 H _5 CH \left( C _6 H _5\right) Br\)
(C). \(C _6 H _5 C \left( CH _3\right)\left( C _6 H _5\right) Br\)
(D). \(C _6 H _5 CH \left( CH _3\right) Br\)
Choose the correct answer from the options given below :

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Sodium dichromate \(Na _2 Cr _2 O _7\) and Potassium dichromate \(K _2 Cr _2 O _7\) are strong oxidizing agents; in acidic solution, its oxidising action can be represented as follows :
\(Cr _2 O _7^{2-}+14 H ^{+}+6 e^{-} \rightarrow 2 Cr ^{3+}+7 H _2 O \left( E ^{\circ}=1.33 V\right)\)
The chromates and dichromates are interconvertible in aqueous solution depending upon pH of the solution.
The chromate ion is tetrahedral whereas the dichromate ion consists of two tetrahedra sharing one corner with \(Cr - O - Cr\) bond angle of \(126^{\circ}\)
Potassium permanganate is prepared by fusion of \(MnO _2\) with an alkali metal hydroxide and an oxidising agent like \(KNO _3\).
This produces the dark green \(K _2 MnO _4\) which disproportionates in a neutral or acidic solution to give permanganate. It is a strong oxidizing agent. Hydrogen ion concentration of the solution plays
an important part in the reduction of permanganate to manganate, manganese dioxide and manganese(II) salt.
Potassium permanganate forms dark purple (almost black) crystals which are isostructural with those of \(KClO _4\).
The salt is not very soluble in water \((6.4 g / 100 g\) of water at 293 K ), but when heated it decomposes at 513 K .
Alkaline/neutral \(KMnO _4\) oxidizes iodide ( \(I ^{-}\)) ion to

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\(KMnO _4\) is prepared by the fusion of \(MnO _2\) with an alkali metal hydroxide and an oxidizing agent like \(KNO _3\) to give a dark-green manganate ion which disproportionate to give permanganate as follows.
\(\begin{array}{l}2 MnO _2+4 KOH + O _2 \rightarrow 2 K_2 MnO _4+2 H _2 O \\ 3 K_2 MnO _4+4 H ^{+} \rightarrow 2 KMnO _4+ MnO _2+2 H _2 O \end{array}\)
On heating \(K _2 MnO _4\) decomposes at 513 K to give \(K _2 MnO _4\). Permanganate ion is tetrahedral and diamagnetic
Acidified \(KMnO _4\) acts a strong oxidizing agent which oxidizes oxalic acid, ferrous ions, nitrite ion and iodides.
Reaction of iodide ion \(\left( I ^{-}\right)\)with \(KMnO _4\) will.....

Answer the question on the basis of passage given below :
All transition elements display typical metallic properties like high melting point, boiling point, tensile strength, high malleability and ductility, luster, etc. Their metallic character increases down the group and elements of \(4 d\) and 5d series exhibit higher metallic characters. They show variable oxidation states and forms a number of coloured compounds due to the presence of unpaired electrons which shows d-d transitions and makes them paramagnetic.
A group-IV element \(X\) shows magnetic moment of 1.73 BM , its oxidation state is?

Werner was the first to describe the bonding features in coordination compounds. But his theory could not answer basic questions like :
(i) Why only certain elements possess the remarkable property of forming coordination compounds ?
(ii) Why the bonds in coordination compounds have directional properties ?
(iii) Why coordination compounds have characteristics magnetic and optical properties ?Many approaches have been put forth to explain the nature of bonding in coordination compounds viz. Valence Bond Theory (VBT), Crystal Field Theory (CFT), Ligand Field Theory (LFT) and Molecular Orbital Theory (MOT).
We shall focus our attention on elementary treatment of the application of VBT and CFT to coordination compounds.
According to this theory, the metal atom or ion under the influence of ligands can use its ( \(n -1\) )d, ns np or ns, np, nd orbitals for hybridisation to yield a set of equivalent orbitals of definite geometry such as octahedral, tetrahedral, square planar and so on.
These hybridised orbitals are allowed to overlap with ligand orbitals that can donate electron pairs for bonding.
Predict the shape of \(\left[ Ni ( CO )_4\right]\) on the basis of VBT :

Increasing order of oxidation states of transition metal oxides will be :
(A) \(\text{TiO}_2\)
(B) \(\text{MnO}_4^-\)
(C) \(\text{VO}_2^+\)
(D) \(\text{CrO}_4^{2-}\)
(E) \(\text{Ni(CO)}_4\)
Choose the \textbf{correct} answer from the options given below :

In given reaction \(3 MnO _4^{2-}+4 H ^{+} \rightarrow 2 MnO _4^{-}+ MnO _2+2 H _2 O\) oxidation state shown by Mn are.
(A) VI
(B) II
(C) VII
(D) IV
(E) V
Choose the answer from the options given below :

In an a.c. circuit, a resistor, a capacitor and an inductor are connected in series, in which \( X_C = X_L = R \). The impedance of this circuit will be

Find the correct stoichiometric coefficients in the following redox equation:
\(\text{xH}^+ + \text{y C}_6\text{H}_5\text{CH}_3 + \text{w MnO}_4^- \rightarrow \text{a H}_2\text{O}+\text{b Mn}^{2+}\text{ + t C}_6\text{H}_5\text{COOH}\)
Choose the correct set of values for (x, y, w, a, b, t)

Three concentric metallic spherical shells of radii \( R, 2R \), and \( 3R \) are given charges \( Q_1, Q_2 \) and \( Q_3 \), respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells \( Q_1 : Q_2 : Q_3 \) is:

Select the examples of ex-situ conservation:
(A). Zoological parks
(B). Sanctuaries
(C). Seed banks
(D). Cryopreservation of gametes
Choose the correct answer from the options given below: