What sized ring is formed when two carboxylic acids form a dimeric structure through intermolecular hydrogen bonding? (consider hydrogen bond as a bond)

What are \(X, Y\) and \(Z\) in the following reactions?
\[
\begin{aligned}
& \mathrm{CaCO}_3 \stackrel{\Delta}{\rightleftharpoons} \mathrm{CO}_2+X \\
& X+\mathrm{H}_2 \mathrm{O} \longrightarrow Y \\
& Y+\mathrm{Cl}_2 \longrightarrow Z \\
& X \quad Y \quad Z
\end{aligned}
\]

The IUPAC name of the following compound is

Consider the following reaction
\(\mathrm{N}_2(g)+3 \mathrm{H}_2(g) \longrightarrow 2 \mathrm{NH}_3(g)\)
The rate of this reaction in terms of \(\mathrm{N}_2\) at \(T \mathrm{~K}\) is \(\frac{-d\left[\mathrm{~N}_2\right]}{d t}=0.02 \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}\). What is the value of \(-d\left[\mathrm{H}_2\right] / d t\) (in units of \(\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1}\) ) at the same temperature.

The signs of \(\Delta_r \mathrm{H}^{\circ}\) and \(\Delta_r \mathrm{~S}^{\circ}\) for a reaction to be spontaneous at all temperatures respectively are

The standard Gibb's energy \(\left(\Delta G^{\circ}\right)\) for the following reaction is
\(\begin{aligned} & A(s)+B^{2+}(a q) \rightleftharpoons A^{2+}(a q)+B(s), \\ & K_C=10^{12} \text { at } 25^{\circ} \mathrm{C}\left(K_C=\text { equilibrium constant }\right)\end{aligned}\)

From the following, identify the reactions which are responsible for depletion of ozone layer.
\(\begin{aligned}
& \mathrm{Cl} \dot{\mathrm{O}}(g)+\mathrm{NO}_2(g) \rightarrow \mathrm{ClONO}_2(g) \\
& \mathrm{CF}_2 \mathrm{Cl}_2(g) \xrightarrow{\text { uv }} \mathrm{Cl}(g)+\dot{\mathrm{CF}}_2 \mathrm{Cl}(g) \\
& \dot{\mathrm{Cl}}(g)+\mathrm{CH}_4(g) \rightarrow \mathrm{HCl}(g)+\dot{\mathrm{C}} \mathrm{H}_3(g) \\
& \dot{\mathrm{C}} \mathrm{l}(\mathrm{g})+\mathrm{O}_3(g) \rightarrow \mathrm{Cl} \dot{\mathrm{O}}(g)+\mathrm{O}_2(g) \\
& \mathrm{Cl} \dot{\mathrm{O}}(g)+\mathrm{O}(g) \rightarrow \dot{\mathrm{C}} \mathrm{l}(g)+\mathrm{O}_2(g)
\end{aligned}\)

Consider two liquids \(\mathrm{A}\) and \(\mathrm{B}\) in a U-shaped tube in static equilibrium as shown in the figure. If the density of the liquid \(A\) is twice the density of liquid \(B\), then the relation between \(h_A\) and \(h_B\) is

At the moment \(\mathrm{t}=0\), a time dependent force \(\mathrm{F}=\) at (where a is constant equal to \(1 \mathrm{Ns}^{-1}\) ) is applied to a body of mass \(1 \mathrm{~kg}\) resting on a smooth horizontal plane as shown in the figure. If the direction of this force makes an angle \(45^{\circ}\) with the horizontal, then the velocity of the body at the moment it leaves the plane is
(acceleration due to gravity \(=10 \mathrm{~m} \mathrm{~s}^{-2}\) )

Ferrous ion charges to \(X\) ion, on reacting with acidified hydrogen peroxide.
The number of \(d\)-electrons present in \(X\) and its magnetic moment (in BM) are, respectively :

A plane \(\pi\) is passing through \((2,0,1)\) and \((3,-3,4)\) and is perpendicular to \(x-2 y+z=6\). Among the following, the plane that is perpendicular to the plane \(\pi\) is

The point on the curve \(y=x^2+4 x+3\) which is closest to the line \(y=3 x+2\) is

The correct order of acidic character of the following is: