Match \(List-I\) with  \(List-II\), match the gas evolved during each reaction.

\(List-I\)	\(List-II\)
\(A\) \(\left( NH _{4}\right)_{2} Cr _{2} O _{7} \stackrel{\Delta}{\longrightarrow}\)	\(I\) \(H _{2}\)
\(B\) \(KMnO _{4}+ HCl \rightarrow\)	\(II\) \(N _{2}\)
\(C\) \(Al + NaOH + H _{2} O \rightarrow\)	\(III\) \({ O _{2}}\)
\(D\) \(NaNO _{3} \stackrel{\Delta}{\longrightarrow}\)	\(IV\) \({ Cl _{2}}\)

Choose the correct answer from the options given below.

Identify from the following species in which \(\mathrm{d}^2 \mathrm{sp}^3\) hybridization is shown by central atom:

The half life for the decomposition of gaseous compound \(A\) is \(240\,s\) when the gaseous pressure was \(500\,Torr\) initially. When the pressure was \(250\,Torr\), the half life was found to be \(4.0\,min\). The order of the reaction is....... (Nearest integer)

\('X'\) melts at low temperature and is a bad conductor of electricity in both liquid and solid state. \(X\) is

Total number of alkali insoluble solid sulphonamides obtained by reaction of given amines with Hinsberg's reagent is __________
Aniline, N-Methylaniline, Methanamine,
N, N-Dimethylmethanamine,
N-Methyl methanamine, Phenylmethanamine,
N-propylaniline, N-phenylaniline,
N, N-Dimethylaniline, Allyl amine,
Isopropyl amine

\(\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{A} \xrightarrow{{4\,KO{H_1}{O_2}}}\mathop {2\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{B} }\limits_{(Green)}  + 2{H_2}O\) \(3\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{B} \xrightarrow{{4\,HCl}}\mathop {2C}\limits_{(Purple)}  + Mn{O_2} + 2{H_2}O\) \(3\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{C} \xrightarrow{{{H_2}O,KI}}2\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{A}  + 2KOH + \underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{D} \) In the above sequence of reactions, \(\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{A}\) and \(\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{D} \) ,  respectively are

The decreasing order of reactivity of the following compounds towards nucleophilic substitution \(\left( S _{ N }{ }^{2}\right)\) is :

\(\mathrm{NO}_2\) required for a reaction is produced by decomposition of \(\mathrm{N}_2 \mathrm{O}_5\) in \(\mathrm{CCl}_4\) as by equation \(2 \mathrm{~N}_2 \mathrm{O}_{5(\mathrm{~g})} \rightarrow 4 \mathrm{NO}_{2(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})}\)The initial concentration of \(\mathrm{N}_2 \mathrm{O}_5\) is \(3 \mathrm{~mol} \mathrm{~L}^{-1}\) and it is \(2.75 \mathrm{~mol} \mathrm{~L}^{-1}\) after 30 minutes.The rate of formation of \(\mathrm{NO}_2\) is \(\mathrm{x} \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1}\) \(\min ^{-1}\), value of \(x\) is _______.

If the image of the point \(P(1, 2, a)\) in the line \(\frac{x-6}{3}=\frac{y-7}{2}=\frac{7-z}{2}\) is \(Q(5,b,c)\), then \(a^{2}+b^{2}+c^{2}\) is equal to

The area of the region \(S=\left\{(x, y): y^{2} \leq 8 x, y \geq \sqrt{2} x, x \geq 1\right\}\) is

Let the tangent to the circle \(C _{1}: x^{2}+y^{2}=2\) at the point \(M (-1,1)\) intersect the circle \(C _{2}\) : \(( x -3)^{2}+(y-2)^{2}=5\), at two distinct points \(A\) and \(B\). If the tangents to \(C _{2}\) at the points \(A\) and \(B\) intersect at \(N\), then the area of the triangle \(ANB\) is equal to

The radius of circle, having minimum area, which touches the cruve  \(y = 4 - {x^2}\) and the lines \(y = \left| x \right|\) is :

Match List-\(I\) with List-\(II\). Choose the correct answer from the options given below: