The reaction of propene with \(HOCl (Cl_2 + H_2O)\) proceeds through the intermediate :

Given below are two statements: One is labelled as Assertion (\(A\)) and the other is labelled as Reason (\(R\)). Assertion (\(A\)): Enthalpy of neutralisation of strong monobasic acid with strong monoacidic base is always \(-57 \mathrm{~kJ} \mathrm{~mol}^{-1}\) Reason (\(R\)): Enthalpy of neutralisation is the amount of heat liberated when one mole of \(\mathrm{H}^{+}\)ions furnished by acid combine with one mole of \({ }^{-} \mathrm{OH}\) ions furnished by base to form one mole of water.
In the light of the above statements, choose the correct answer from the options given below.

Match List \(I\) with List \(II\).

List \(I\) Isomeric pairs	List \(II\) Type of isomers
\(A\) Propanamine and \(N-\)Methylethanamine	\(I\) Metamers
\(B\) Hexan\(-2-\)one and Hexan\(-3-\)one	\(II\) Positional isomers
\(C\) Ethanamide and Hydroxyethanimine	\(III\) Functional isomers
\(D\) \(o-\)nitrophenol and \(p-\)nitrophenol	\(IV\) Tautomers

Choose the correct answer from the options given below :-

Enthalpies of formation of \(CCl _{4( g )}, H _2 O_{( g )}, CO _{2( g )}\) and \(HCl_{ ( g )}\) are \(-105,-242,-394\) and \(-92\,kJ\,mol ^{-1}\) respectively. The magnitude of enthalpy of the reaction given below is \(......kJ\,mol ^{-1}\) (nearest integer) \(CCl _{4( g )}+2 H _2 O_{( g )} \rightarrow CO _{2( g )}+4 HCl_{( g )}\)

Some \(\mathrm{CO}_2\) gas was kept in a sealed container at a pressure of 1 atm and at 273 K . This entire amount of \(\mathrm{CO}_2\) gas was later passed through an aqueous solution of \(\mathrm{Ca}(\mathrm{OH})_2\). The excess unreacted \(\mathrm{Ca}(\mathrm{OH})_2\) was later neutralized with 0.1 M of 40 mL HCl . If the volume of the sealed container of \(\mathrm{CO}_2\) was \(x\), then \(x\) is ________ \(\mathrm{cm}^3\) (nearest integer).
[Given : The entire amount of \(\mathrm{CO}_2(\mathrm{~g})\) reacted with exactly half the initial amount of \(\mathrm{Ca}(\mathrm{OH})_2\) present in the aqueous solution.]

How can an electrochemical cell be converted into an electrolytic cell?

Staggered and eclipsed conformers of ethane are:

If \(\mathrm{I}=\int_0^{\frac{\pi}{2}} \frac{\sin ^{\frac{3}{2}} x}{\sin ^{\frac{3}{2}} x+\cos ^{\frac{3}{2}} x} \mathrm{~d} x\), then \(\int_0^{21} \frac{x \sin x \cos x}{\sin ^4 x+\cos ^4 x} \mathrm{~d} x\) equals :

Let the area of the region \(\{(x, y): x-2 y+4 \geq 0\), \(\left.x+2 y^2 \geq 0, x+4 y^2 \leq 8, y \geq 0\right\}\) be \(\frac{m}{n}\), where \(m\) and \(\mathrm{n}\) are coprime numbers. Then \(\mathrm{m}+\mathrm{n}\) is equal to

A square loop of side \(15 \mathrm{~cm}\) being moved towards right at a constant speed of \(2 \mathrm{~cm} / \mathrm{s}\) as shown in figure. The front edge enters the \(50 \mathrm{~cm}\) wide magnetic field at \(t=0\). The value of induced emf in the loop at \(t=10 \mathrm{~s}\) will be _______.

If \(z ^{2}+ z +1=0, z \in C\), then \(\left|\sum_{ n =1}^{15}\left( z ^{ n }+(-1)^{ n } \frac{1}{ z ^{ n }}\right)^{2}\right|\) is equal to

The current sensitivity of moving coil galvanometer is increased by \(25 \%\). This increase is achieved only by changing in the number of turns of coils and area of cross section of the wire while keeping the resistance of galvanometer coil constant. The percentage change in the voltage sensitivity will be \(...........\%\)

The minimum value of the sum of the squares of the roots of \(x^{2}+(3-a) x+1=2 a\) is.