Two solids dissociate as follows \(A\left( s \right) \rightleftharpoons B\left( g \right) + C\left( g \right);{K_{{p_1}}} = x\,at{m^2}\) \(D\left( s \right) \rightleftharpoons C\left( g \right) + E\left( g \right);{K_{{p_2}}} = y\,at{m^2}\)  The total pressure when both the solids dissociate simultaneously is

The \(pH\) of a \(0.02\,M\,\,NH_4Cl\) solution will be [given \(K_b\,(NH_4OH) = 10^{-5}\) and \(log\,2 = 0.301\) ]

If IUPAC name of an element is "Unununnium" then the element belongs to n^th group of periodic table. The value of n is _______.

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

List \(I\)	List \(II\)
\(A.\) Invertase	\(I.\) Starch into maltose
\(B.\) Zymase	\(II.\) Maltose into glucose
\(C.\) Diastase	\(III.\) Glucose into ethanol
\(D.\) Maltase	\(IV.\) Cane sugar into glucose

Choose the most appropriate answer from the options given below

The solubility of \(N_2\) in water at  \(300\,K\)  and  \(500\,torr\)  partial pressure is \(0.01\,g\,L^{- 1}\) .The solubility ( in \(g\,L^{ -1}\))at \(750\,torr\)  partial pressure is

A chromatography column, packed with silica gel as stationary phase, was used to separate a mixture of compounds consisting of \((A)\) benzanilide \((B)\) aniline and \((C)\) acetophenone. When the column is eluted with a mixture of solvents, hexane: ethyl acetate \((20: 80),\) the sequence of obtained compounds

The mass of non-volatile, non-elctrolyte solute (molar mass \(= 50\,g\,mol^{- 1})\)  needed to be dissolved in \(114\,g\)  octane to reduce its vapour pressure to \(75\%,\)  is .............. \(\mathrm{g}\)

The rate constants for decomposition of acetaldehyde have been measured over the temperature range \(700-1000\, K\). The data has been analysed by plotting \(ln\, k\,\)vs\(\,\frac{10^{3}}{ T }\) graph. The value of activation energy for the reaction is \(......\,kJ mol ^{-1}\). (Nearest integer) (Given : \(R =8.31\, J \,K ^{-1} \,mol ^{-1}\) )

A piston of mass \(M\) is hung from a massless spring whose restoring force law goes as \(\mathrm{F}=-\mathrm{kx}^3\), where k is the spring constant of appropriate dimension. The piston separates the vertical chamber into two parts, where the bottom part is filled with ' \(n\) ' moles of an ideal gas. An external work is done on the gas isothermally (at a constant temperature T) with the help of a heating filament (with negligible volume) mounted in lower part of the chamber, so that the piston goes up from a height \(\mathrm{L}_0\) to \(\mathrm{L}_1\), the total energy delivered by the filament is (Assume spring to be in its natural length before heating)

The function \(\mathrm{f}(\mathrm{x})\), that satisfies the condition \(\mathrm{f}(\mathrm{x})=\mathrm{x}+\int_{0}^{\pi / 2} \sin \mathrm{x} \cdot \cos y \mathrm{f}(\mathrm{y}) \mathrm{dy}\), is :

Among the following compounds \(I-IV,\) which one forms a yellow precipitate on reacting sequentially with \((i)\) \(\mathrm{NaOH}\) \((ii)\) dil. \(\mathrm{HNO}_{3}\) \((iii)\) \(\mathrm{AgNO}_{3}\) ?

The reaction of propene with \(HOCl (Cl_2 + H_2O)\) proceeds through the intermediate :

In a bombing attack, there is \(50 \%\) chance that a bomb will hit the target. At least two independent hits are required to destroy the target completely. Then the minimum number of bombs, that must be dropped to ensure that there is at least \(99 \%\) chance of completely destroying the target, is