Decreasing order of the hydrogen bonding in following forms of water is correctly represented by
A. Liquid water
B. Ice
C. Impure water

For the reaction, \( N_{2}O_{4}\rightleftharpoons 2NO_{2}, \) graph is plotted as shown below. Identify correct statements.
A. Standard free energy change for the reaction is -5.40 kJ mol⁻¹.
B. As \( \Delta G^{\ominus} \) in graph is positive, \( N_{2}O_{4} \) will not dissociate into \( NO_{2} \) at all.
C. Reverse reaction will go to completion.
D. When 1 mole of \( N_{2}O_{4} \) changes into equilibrium mixture, value of \( \Delta G^{\ominus}=-0.84 \, kJ \, mol^{-1} \).
E. When 2 mole of \( NO_{2} \) changes into equilibrium mixture, \( \Delta G^{\ominus} \) for equilibrium mixture is -6.24 kJ mol⁻¹.

Choose the correct answer from the options given below:

Amongst the following the number of oxide(s) which are paramagnetic in nature is \(Na _{2} O , KO _{2}, NO _{2}, N _{2} O , ClO _{2}, NO , SO _{2}, Cl _{2} O\)

Gaseous cyclobutene isomerizes to butadiene in a first order process which has a \('k'\) value of \(3.3 \times 10^{-4} s ^{-1}\) at \(153^{\circ} C\). The time in minutes it takes for the isomerization to proceed \(40 \%\) to completion at this temperature is .......... (Rounded off to the nearest integer)

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

LIST \(-I\) (Cell)	LIST \(-II\) (Use / Property / Reaction)
\((A)\) Leclanche cell	\((I)\) Converts energy of combustion into electrical energy
\((B)\) Ni-Cd cell	\((II)\) Does not involve any ion in solution and is used in hearing aids
\((C)\) Fuel cell	\((III)\) Rechargeable
\((D)\) Mercury cell	\((IV)\) Reaction at anode\(\mathrm{Zn} \rightarrow \mathrm{Zn}^{2+}+2 \mathrm{e}^{-}\)

\(N _{2( g )}+3 H _{2( g )} \rightleftharpoons 2 NH _{3( g )}\) \(20 \;g \;\;\;\;5 \;g\) Consider the above reaction, the limiting reagent of the reaction and number of moles of \(NH _{3}\) formed respectively are

The electron in the \(n ^{\text {th }}\) orbit of \(Li ^{2+}\) is excited to \((n+1)\) orbit using the radiation of energy \(1.47 \times 10^{-17}\,J\) (as shown in the diagram). The value of \(n\) is \(....\).Given \(R_H=2.18 \times 10^{-18}\,J\)

Let O be the origin, and P and Q be two points on the rectangular hyperbola \(xy = 12\) such that the mid point of the line segment PQ is \(\left(\dfrac{1}{2}, -\dfrac{1}{2}\right)\). Then the area of the triangle OPQ equals:

Let \(\overrightarrow{O A}=\vec{a}, \overrightarrow{O B}=12 \vec{a}+4 \vec{b}\), and \(\overrightarrow{O C}=\vec{b}\), where \(O\) is the origin. If \(S\) is the parallelogram with adjacent sides \(O A\) and \(O C\), then find the value of \(\frac{\text { area of quadrilateral } O A B C}{\text { area of } S} .\)

If equal volumes of \(\mathrm{AB}_2\) and XY (both are salts) aqueous solutions are mixed, which of the following combination will give a precipitate of \(\mathrm{AY}_2\) at 300 K ?
(Given \(\mathrm{K}_{\mathrm{sp}}\) (at 300 K) for \(\mathrm{AY}_2=5.2 \times 10^{-7}\))

A clock has a continuously moving second's hand of \(0.1\, m\) length. The average acceleration of the tip of the hand (in units of \(ms ^{-2}\) ) is of the order of

If equations \(ax^2 + bx + c = 0\) \(\left( {a,b,c \in R,a \ne 0} \right)\) and \(2x^2 + 3x + 4 = 0\) have a common root, then \(a : b : c\) equals

The number of possible tripeptides formed involving alanine (ala), glycine (gly) and valine (val), where no amino acid has been used more than once is :