What happens when an inert gas is added to an equilibrium keeping volume unchanged?

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

List-\(I\) (Elements)	List-\(II\) (Properties in their respective groups)
\((A)\) \(\mathrm{Cl}, \mathrm{S}\)	\((I)\) Elements with highest electronegativity
\((B)\) \(\mathrm{Ge}, \mathrm{As}\)	\((II)\) Elements with largest atomic size
\((C)\) \(\mathrm{Fr}, \mathrm{Ra}\)	\((III)\) Elements which show properties of both metals and non metal
\((D)\) \(\mathrm{F}, \mathrm{O}\)	\((IV)\) Elements with highest negative electron gain enthalpy

Choose the correct answer from the options given below :

What is the mole fraction of water in \(10\)% by weight (w/w) of aqueous urea solution?
[Given: Molar mass of H, O, C and N are \(1\), \(16\), \(12\) and \(14\) g mol\(^{-1}\) respectively.]

Following figure shows dependence of molar conductance of two electrolytes on concentration. \(\Lambda \stackrel{0}{ m }\) is the limiting molar conductivity.The number of Incorrect statement(s) from the following is \(...........\) \((A)\) \(\Lambda \stackrel{0}{ m }\) for electrolyte \(A\) is obtained by extrapolation \((B)\) For electrolyte B, vx \(\Lambda m\) vs \(\sqrt{ c }\) graph is a straight line with intercept equal to \(\Lambda \stackrel{0}{ m }\) \((C)\) At infinite dilution, the value of degree of dissociation approach zero for electrolyte \(B\). \((D)\) \(\Lambda \stackrel{0}{ m }\) for any electrolyte \(A\) or \(B\) can be calculated using \(\lambda^{\circ}\) for individual ions.

The Lewis acid character of boron tri halides follows the order:

For a first order reaction \(A \rightarrow B\), the rate constant, \(k =5.5 \times 10^{-14} \,s ^{-1}\). The time required for \(67\, \%\) completion of reaction is \(x \,\times 10^{-1}\) times the half life of reaction. The value of \(x\) is \(....\) (Nearest integer)

The spin-only magnetic moment value of \(M ^{3+}\) ion (in gaseous state) from the pairs \(Cr ^{3+} / Cr ^{2+}\), \(Mn ^{3+} / Mn ^{2}, Fe ^{3+} / Fe ^{2+}\) and \(Co ^{3+} / Co ^{2+}\) that has negative standard electrode potential, is \(B.M...........\) [Nearest integer]

If the \(x\)-intercept of a focal chord of the parabola \(y^2=8 x+4 y+4\) is \(3\) , then the length of this chord is equal to \(.............\)

A body is released from a height equal to the radius ( \(R\) ) of the earth. The velocity of the body when it strikes the surface of the earth will be : (Given \(g\) = acceleration due to gravity on the earth.)

If the uncertainty in velocity and position of a minute particle in space are, \(2.4 \times 10^{-26}\left(\, m\,s ^{-1}\right)\) and \(10^{-7}\,( m )\) respectively. The mass of the particle in \(g\) is \(....\) (Nearest integer) (Given : \(h =6.626 \times 10^{-34} Js\) )

A water heater of power \(2000\,W\) is used to heat water. The specific heat capacity of water is \(4200\,J\,kg ^{-1}\, K ^{-1}\). The efficiency of heater is \(70 \%\). Time required to heat \(2\,kg\) of water from \(10^{\circ}\,C\) to \(60^{\circ}\,C\) is \(..........s\). (Assume that the specific heat capacity of water remains constant over the temperature range of the water).

\(\mathrm{X}\) of enthanamine was subjected to reaction with \(\mathrm{NaNO}_2 / \mathrm{HCl}\) followed by hydrolysis to liberate \(\mathrm{N}_2\) and \(\mathrm{HCl}\). The \(\mathrm{HCl}\) generated was completely neutralised by \(0.2\) moles of \(\mathrm{NaOH}\) . \(\mathrm{X}\) is _______ \(g\).

Suppose that the number of terms in an A.P. is \(2 k, k \in N\). If the sum of all odd terms of the A.P. is 40 , the sum of all even terms is 55 and the last term of the A.P. exceeds the first term by 27, then k is equal to :