The \(\mathrm{p} K_a\) values of four carboxylic acids are given below. Identify the weakest carboxylic acid.

How many of the following oxides are amphoteric? \[ \mathrm{BeO}, \mathrm{ZnO}, \mathrm{Sb}_2 \mathrm{O}_3, \mathrm{CO}, \mathrm{CaO}, \mathrm{SO}_2, \mathrm{SO}_3 \]

What is the temperature at which the kinetic energy of 0.3 moles of helium is equal to the kinetic energy of 0.4 moles of argon at \(400 \mathrm{~K}\) ?

A compound made up of elements $\mathrm{A}$ and $\mathrm{B}$ (with a general formula ${\mathrm{A}}_{\mathrm{x}}{\mathrm{B}}_{\mathrm{y}}$), where $\mathrm{B}$ form a hcp lattice and A occupy$2/3^{\mathrm{rd}}$ of the tetrahedral voids. The formula of the compound is

Ozone is formed in the upper atmosphere by a photochemical reaction with ${\mathrm{O}}_2$ in the presence of

The incorrect statement about the oxidation states of group 14 elements is

The compounds with \(\mathrm{sp}^2\) hybridized central atom among the following are (A) \(\mathrm{H}_2 \mathrm{CO}_3\) (B) \(\mathrm{SiF}_4\) (C) \(\mathrm{BF}_3\) (D) \(\mathrm{HClO}_2\)

Consider the function \(f(x)=2 x^3-3 x^2-x+1\) and the intervals \(Y_1=[-1,0], Y_2=[0,1]\), \(r_3=[1,2], r_4=[-2,-1]\). Then,

Find the value of the equilibrium constant \((K)\) of a reaction at \(300 \mathrm{~K}\), when standard Gibbs free energy change is \(-25 \mathrm{~kJ} \mathrm{~mol}^{-1}\) ? (Consider \(R=8.33 \mathrm{Jmol}^{-1} \mathrm{~K}^{-1}\) )

The equation of the circle concentric with the circle \(x^2+y^2-6 x+12 y+15=0\) and of double its area is

\[ \begin{aligned} & \mathrm{H}_3 \mathrm{CCONH}_2+\mathrm{Br}_2+4 \mathrm{NaOH} \longrightarrow \ & Y+\mathrm{Na}_2 \mathrm{CO}_3+2 \mathrm{NaBr}+2 \mathrm{H}_2 \mathrm{O} \end{aligned} \] What is \(Y\) in the above reaction?

Two identical bar magnets of magnetic moment \(M\) each, are placed along \(X\) and \(Y\)-axes, respectively at a distance \(d\) from the origin (as shown in the figure). The origin lies on perpendicular bisector of magnet placed on \(X\)-axis and on the magnetic axis of magnet placed on \(Y\)-axis. If the magnitude of total magnetic field at the origin is \(B=\alpha\left[\frac{\mu_0}{4 \pi} \frac{M}{d^3}\right]\), then the value of constant \(\alpha\) will be \(\langle d>>l\), where \(l\) is the length of the bar magnets and direction of \(\mathrm{N}\) to \(\mathrm{S}\) in magnets is opposite with respect to each other)

In the following reaction \(\mathrm{a}, \mathrm{b}, \mathrm{p}, \mathrm{q}, \mathrm{r}\) and \(\mathrm{s}\) are \(\mathrm{a} \mathrm{XeF}+\mathrm{b} \mathrm{H}_2 \mathrm{O} \longrightarrow \mathrm{p} \mathrm{Xe}+\mathrm{qXeO}_3+\mathrm{rHF}+\mathrm{s} \mathrm{O}_2\) \(\begin{array}{llllll}\mathbf{a} & \mathbf{b} & \mathbf{p} & \mathbf{q} & \mathbf{r} & \mathbf{s}\end{array}\)