In the Dewar's method of separation of noble gases, the mixture of noble gases is kept in contact with coconut charcoal at \(173 \mathrm{~K}\) which one of the following gaseous mixtures is not adsorbed on to the charcoal?

When ' \(\mathrm{X}\) ' \(\mathrm{g}\) of graphite is completely burnt in a bomb calorimeter in excess of \(\mathrm{O}_2\) at \(298 \mathrm{~K}\) and \(1 \mathrm{~atm}\) pressure as given in the equation
\(\mathrm{C}\) (graphite) \(+\mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{CO}_2(\mathrm{~g})\)
The temperature of calorimeter raised from \(298 \mathrm{~K}\) to \(302 \mathrm{~K}\). If the heat capacity of the calorimeter and molar enthalpy change for the reaction at \(1 \mathrm{~atm}\) and \(298 \mathrm{~K}\) are \(20.7 \mathrm{~kJ} \mathrm{~K}^{-1}\) and \(-248.4 \mathrm{~kJ} \mathrm{~mol}^{-1}\), ' \(\mathrm{X}^{\prime}\) in \(\mathrm{g}\) is

At \(1000 \mathrm{~K}\), if the equilibrium constant \(K_p\) for the reaction.
\(2 \mathrm{NOCl}(g) \rightleftharpoons 2 \mathrm{NO}(g)+\mathrm{Cl}_2(g)\)
is \(4.157 \times 10^{-4}\) bar, the \(K_C\left(\right.\) in \(\mathrm{mol} \mathrm{L}^{-1}\) ) is \(\left(R=0.083 \mathrm{~L} \mathrm{bar} \mathrm{K}^{-1} \mathrm{~mol}^{-1}\right)\)

Two oxides of nitrogen, \(\mathrm{NO}\) and \(\mathrm{NO}_2\) react together at \(253 \mathrm{~K}\) and form a compound of nitrogen \(X\). \(X\) reacts with water to yield another compound of nitrogen \(Y\). The shape of the anion of \(Y\) molecule is :

Identify the incorrect order against the stated property.

Which of the following is not a characteristic of chemisorption?

Equivalent weights of \(\mathrm{KMnO}_4\) and \(\mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7\) in acidic medium are respectively.
(Molecular weight of \(\mathrm{KMnO}_4=M_A\) and Molecular weight of \(\mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7=M_B\) ).

If \(\lim _{x \rightarrow \infty} \frac{(\sqrt{2 x+1}+\sqrt{2 x-1})^8+(\sqrt{2 x+1}-\sqrt{2 x-1})^8\left(P x^4-16\right)}{\left(x+\sqrt{x^2-2}\right)^8+\left(x-\sqrt{x^2-2}\right)^8}\) \(=1\), then \(P=\)

The order of dipole moments of \(\mathrm{H}_2 \mathrm{O}(\mathrm{A}), \mathrm{CHCl}_3(\mathrm{~B})\) and \(\mathrm{NH}_3(\mathrm{C})\) is

A circular wheel with 10 spokes with its plane vertical along East-West is rotating about its natural axis with a uniform speed 100 revolutions per minute in the earth's magnetic field. Radius of the wheel is \(0.3 \mathrm{~m}\). If the emf induced between the centre of the wheel and the rim is \(3 \pi \mu \mathrm{V}\), angle of dip at the place is
(Vertical component of the earth's magnetic field \(\mathrm{B}_{\mathrm{V}}=15 \mu \mathrm{T}\) )

Suppose the axes are to be rotated through an angle \(\theta\) so as to remove the \(x y\) form from the equation \(3 x^2+2 \sqrt{3} x y\) \(+y^2=0\). Then in the new coordinate system the equation \(x^2+y^2+2 x y=2\) is transformed to

An insulated cylindrical vessel filled with an insulated piston of negligible weight and negligible thickness at the mid point of the vessel. The cylinder contains a gas at \(0^{\circ} \mathrm{C}\). When the gas is heated to \(100^{\circ} \mathrm{C}\), the piston moves through a length of \(5 \mathrm{~cm}\). Length of the cylindrical vessel in \(\mathrm{cm}\) is

\(\int \frac{6 x+5}{\sqrt{6+x-2 x^2}} d x=\)