Answer the question on basis of passage given below :
Lyophobic sols like those of metals (Au, Ag, etc) are unstable and are easily precipitated by addition of electrolytes. However, it is observed that the addition of certain lyophilic colloids like gums, soaps, gelatine, etc. to lyophobic colloids (like a metal sol) render lyophobic colloids difficult to coagulate by the addition of electrolytes. The process is known as 'protection' and the lyophilic colloids are termed as Protective colloids. It is believed that the protective action of the lyophilic colloids is due to the covering up of the particles of the lyophobic colloid by those of the lyophilic colloid.
Evidently, smaller the gold number of a protective colloid, the greater is its protective action.
Which of the following does not form a lyophilic colloid?

Out of the following given statements, identify the correct ones :
(A) Yttrium does not exhibit variable oxidation states, yet it is a transition element.
(B) Many compounds of transition elements act as catalysts in various chemical reactions.
(C) Technetium is an artificially synthesized element of 4d transition series.
(D) The E° value for the Mn³⁺/Mn²⁺ couple is much more positive than that for Cr³⁺/Cr²⁺.
Choose the correct answer from the options given below :

Identify the product 'X' in the following reaction:
\(C_2H_5COONa\ \xrightarrow[\text{Heat}]{NaOH+CaO}\ X+ Na_2CO_3\)

Select the incorrect statement(s)
A. Surface active agents like soaps and synthetic detergents form micelles in water.
B. Soaps are emulsifying agents.
C. \(C _{17} H _{35}\) (hydrocarbon) and - COO (Carboxylate) part of stearate ion \(\left( C _{17} H _{35} COO ^{-}\right)\)both are hydrophobic.
D. Surfactants are basic in nature.
Choose the most appropriate answer from the options given given below:

Read the passage carefully and answer the questions
The transition metals and their compounds are known for their catalytic activity. This activity is ascribed to their ability to adopt multiple oxidation states and to form complexes. Vanadium(V) oxide (in Contact Process), finely divided iron, and nickel (in Catalytic Hydrogenation) are some of the examples. Catalysts at a solid surface involve the formation of bonds between reactant molecules and atoms of the surface of the catalyst (first row transition metals utilise 3d and 4s electrons for bonding). This has the effect of increasing the concentration of the reactants at the catalyst surface and also weakening of the bonds in the reacting molecules (the activation energy is lowering). Also because the transition metal ions can change their oxidation states, they become more effective as catalysts. Reaction between iodide and persulphate ions takes place as follows: \(2I^- + S_2O_8^{2-} \rightarrow I_2 + 2SO_4^{2-}\)
Which of the following catalyses the above reaction?

Match List-I with List-II

List-I (Reaction)	List-II (Type of reaction)
(A) Hydrolysis of Ethyl Chloride	(I) Substitution reaction
(B) 2-Propanol is treated with Conc. Sulphuric acid	(II) Addition reaction
(C) Reaction of HCN with Acetone	(III) Degradation reaction
(D) Treatment of acetamide with NaOH and Br2	(IV) Elimination reaction

Choose the correct answer from the options given below:

Identify the incorrect statement:

Gabriel synthesis is used for the synthesis of:

Which of the following statement(s) is/are correct
A. A plot of \(\log \frac{x}{m}\) vs \(\log p\) is linear.
B. A plot of \(\log [x]\) vs time is linear for a first order reaction \(x \rightarrow p\).
C. A plot of vapour pressure vs temperature is linear at constant volume.
D. A plot of \(\log p\) vs \(\frac{1}{T}\) is linear at constant temperature.
E. A plot of \(\frac{1}{\text { Concentration of the reactant }}\) vs time gives a straight line for a second order reaction.
Choose the correct answer from the options given below :

Select incorrect statements in reference to decomposition.
A. Decomposition rate is slower, if detritus is rich in nitrogen
B. Decomposition is largely an oxygen requiring process
C. Decomposition rate is faster if detritus is rich in lignin and chitin
D. Warm and moist environment favours decomposition
Choose the correct answer from the options given below:

The general solution of the differential equation \(\frac{d y}{d x}=-4 x y^2\) is given by

Identify the enzyme that is used to clarify fruit juices before bottling.

In which of the following interval the function \(f(x)=x^x, x>0\) is strictly increasing?