A first order reaction is found to have rate constant, \(k=3.5 \times 10^{-4} s^{-1}\). It's half life will be :

On dissolving sugar in water at room temperature it feels cool to the touch. Under which of the following cases, dissolution of sugar will be most rapid?

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 \(=k[A]^x[B]^y\)
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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Match List-I with List-II

List - I	List - II
A. Solid in liquid	I. Foam
B. Liquid in Solid	II. Sol
C. Liquid in Liquid	III. Gel
D. Gas in Liquid	IV. Emulsion

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On warming an aldehyde with freshly prepared ammonical silver nitrate solution (Tollen's reagent) a bright silver mirror is produced due to formation of:

Organic compounds derived from NH3 by replacing one or more H-atoms with alkyl or aryl groups will form primary, secondary and tertiary amines. The common methods which include their preparations are reduction of nitro group, amide group and nitrile group, Gabriel phthalimide synthesis and ammonolysis of alkyl halides. Amines are basic in nature due to the presence of a lone pair of electrons on the nitrogen atom. Important chemical properties of amines include acylation, alkylation and their interaction with nitrous acid. There are various tests which can distinguish different types of amines from each other, for e.g. carbylamine test, Hinsberg's test, coupling reaction etc. Another important class of compounds which can be derived from primary amines is azo compounds. These compounds are intensely colored and widely used as dyes in textile, leather and food industries.
Correctly predict the final product and the type of reaction for the following reaction:
\(C _6 H _5- N _2^{+} Cl ^{-}+ C _6 H _5- OH \xrightarrow{ HO ^{-}}\)?

How much charge is required for the reduction of 0.05 moles of \(MnO _4^{-}\) to \(MnO _2\)?

oxidation states of which of the following oxides are same?
(A) \(ClO_2\): +4
(B) \(Cl_2O_3\): +3
(C) \(BrO_2\): +4
(D) \(I_2O_4\): +5
(E) \(I_2O_5\): +5
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Let \(A, B, C\) be matrices of order \(p \times k, 3 \times k\) and \(n \times 3\) respectively, then the conditions on \(n, k\) and \(p\) so that \(A B+C B\) will be defined are :

Answer the question on basis of passage given below :
Chloroform is a very useful solvent for oils, fats and waxes and many organic compounds. It can also be used for preserving biological specimens. Chloroform was used as a general anaesthetic in surgery for a long time but because of its toxic nature, it is no longer used these days.
Why storage of chloroform is a problem?

Consider the LPP: Maximize \(Z=x+y\) subject to the constraints \(x+2 y \leq 70,2 x+y \leq 95, x, y \geq 0\). The optimal feasible solution is:

Match the List-l with List-II

List-l (Character)	List-II (Recessive Trait)
(A) Flower Colour	(I) Green
(B) Seed colour	(II) Yellow
(C) Pod colour	(III) Constricted
(D) Pod shape	(IV) White

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Match List-I with List-II

List-I (Structure of Protein)	List-II (Function)
(A) Primary Structure	(I) Gives rise to Fibrous and Globular Proteins
(B) Secondary structure	(II) Sequence of amino acid
(C) Tertiary Structure	(III) shape of polypeptide chain
(D) Quaternary Structure	(IV) Spatial arrangement of sub-units

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