Osmotic pressure measurements are less accurate and difficult to carry out. Therefore, this method is not useful for measuring molecular weights. But it is used to find out molecular weights of polymers eg. plastics, proteins and starch having many monomer units. Knowing the value of osmotic pressure of a given solution, molecular weight of the solute can be calculated using Van't Hoff equation.
In a nearly saturated solution, which of the following statements are correct?
A. If dissolution process is endothermic, solubility increases with increase in temperature.
B. If dissolution process is endothermic, solubility decreases with increase in temperature.
C. If dissolution process is exothermic, solubility decreases with increase in temperature.
D. If dissolution process is exothermic, solubility increases with increase in temperature.
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Match List I with List II.

List-I	List-II
(A) Hoffmann bromamide reaction	I. Detection test for primary amines
(B) Carbylamine reaction	II. Hinsberg reagent
(C) Gabriel phthalimide synthesis	III. Amine with lesser number of carbon atoms
(D) Benzene sulphonyl chloride	IV. Reaction of phthalimide with KOH and R-X.

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In the formation of coordination complexes, if the inner \(d\) orbital \((n - 1)d\) is used in hybridisation, the complex, is called an inner orbital or low spin or spin paired complex. And if it uses outer \(d\) orbital \((nd)\) in hybridisation (like \(sp^3d^2\)), it is called outer orbital or high spin or spin free complex. The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the complex. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting. For coordination complexes, the magnetic moment is determined by the number of unpaired electrons and is calculated by using the 'spin-only' formula, \(\mu = \sqrt{n(n+2)}\) where \(n\) is the number of unpaired electrons and \(\mu\) is the magnetic moment in units of Bohr magneton \((BM)\). The coordination compounds are of great importance. These compounds are widely present in the mineral, plant and animal worlds and are known to play many important functions in the area of analytical chemistry, metallurgy, biological systems, industry and medicine.
Fe(II) octahedral complexes can show different 'spin only' magnetic moments for arrangements in the presence of weak and strong ligands. The 'spin only' magnetic moments of these complexes with weak and strong ligands, respectively, are

In the following reaction, the product A is

Arrange the following compounds in the increasing order of their acidic strength :
(A) 3,5-dinitrophenol
(B) Propan-1-ol
(C) 2,4,6-trinitrophenol
(D) 3-nitrophenol
(E) 4-methyl phenol
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Arrange the following in increasing order of their basic strength in aqueous phase :
(A) \(CH_{3}NH_{2}\)
(B) \(C_{6}H_{5}CH_{2}NH_{2}\)
(C) \(C_{6}H_{5}NH_{2}\)
(D) \((CH_{3})_{3}N\)
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Read the Passage carefully and answer the Questions
Kinetic studies not only help us to determine the rate of a chemical reaction but also describe the conditions by which the reaction rates can be altered. The factors such as concentration, temperature, pressure and catalyst affect the rate of a reaction. The speed of a reaction or the rate of a reaction can be defined as the change in concentration of a reactant or product in unit time.
Rate \(= \text{k}[\text{A}]^x [\text{B}]^y\)
Here k is the rate constant
\(x + y\) gives the overall order of a reaction, whereas \(x\) and \(y\) represent the order with respect to the reactants A and B, respectively.
Which of the following statements are correct?
(A) Catalysts increase the rate of a chemical reaction.
(B) Catalysts can catalyze both spontaneous and non-spontaneous reactions.
(C) Higher the activation energy for a chemical reaction, lower is the rate of the reaction.
(D) Catalyst increases the potential energy barrier.
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The pollination which involves the transfer of pollen grain from the anther
to the stigma of another flower of the same plant is known as-

Consider the following L.L.P.
Minimize \(z=30 x-30 y+1800\);
subject to \(x+y \leq 30, x \leq 15, y \leq 20, x+y \geq 15\) and \(x, y \geq 0\).
Then it attains its optimal value at the point

The function \(f(x)=-2 x^3-9 x^2-12 x+5\) is :

The typical test cross is performed between -

What is the effect of doubling the concentration of alkyl halide on the rate of reaction for the given reaction?
\(CH_3Br + OH^-\rightarrow CH_3OH + Br^-\)

A bubble in glass slab (\( \mu = 1.5 \)) when viewed from one side appears at 5 cm and 2 cm from otherside, then the thickness of the glass slab is: