An organic compound is subjected to chlorination to get compound A using \(5.0\, \mathrm{~g}\) of chlorine. When \(0.5\, \mathrm{~g}\) of compound \(\mathrm{A}\) is reacted with \(\mathrm{AgNO}_{3}\) [Carius Method], the percentage of chlorine in compound \(A\) is \(.....\) when it forms \(0.3849\) \(g\) of \(\mathrm{AgCl}\). (Round off to the Nearest Integer) (Atomic masses of \(\mathrm{Ag}\) and \(\mathrm{Cl}\) are \(107.87\) and \(35.5\) respectively)

The Born-Haber cycle for \(\mathrm{KCl}\) is evaluated with the following data : \(\Delta_{f} \mathrm{H}^{\ominus}\) for \(\mathrm{KCl}=-436.7 \,\mathrm{~kJ}\, \mathrm{~mol}^{-1}\) \(\Delta_{\text {sub }} \mathrm{H}^{\ominus}\) for \(\mathrm{K}=89.2 \,\mathrm{~kJ}\, \mathrm{~mol}^{-1}\) \(\Delta_{\text {ionization }} \,\mathrm{H}^{-}\) for \(\mathrm{K}=419.0\, \mathrm{~kJ}\, \mathrm{~mol}^{-1}\) \(\Delta_{\text {electron gain }} \mathrm{H}^{\ominus}\) for \(\mathrm{Cl}_{(\text {e) }}=-348.6 \,\mathrm{~kJ} \,\mathrm{~mol}^{-1}\) \(\Delta_{\mathrm{bond}} \mathrm{H}^{-}\) for \(\mathrm{Cl}_{2}=243.0 \,\mathrm{~kJ} \,\mathrm{~mol}^{-1}\) The magnitude of lattice enthalpy of \(\mathrm{KCl}\) in \(\mathrm{kJ} \mathrm{mol}^{-1}\) is ..... . (Nearest integer)

For the reaction \(2 Fe ^{3+}( aq )+2 I ^{-}( aq ) \rightarrow 2 Fe ^{2+}( aq )+ I _{2}( s )\) the magnitude of the standard molar free energy change, \(\Delta_{ r } G _{ m }^{\circ}=-\) ........... \(kJ\) (Round off to the Nearest Integer). \(\left[\begin{array}{l} E _{ Fe ^{2+} / Fe ( s )}^{ o }=-0.440 V ; E _{ Fe ^{3+} / Fe ( s )}^{\circ}=-0.036 V \\ E _{ I _{2} / 2 I ^{-}}^{ o }=0.539 V ; \quad F =96500\, C \end{array}\right]\)

Sum of oxidation state (magnitude) and coordination number of cobalt in \(Na \left[ Co ( bpy ) Cl _{4}\right]\) is \(.......\)

\(1\,g\) of non-volatile non-electrolyte solute is dissolved in \(100\,g\) of two different solvents \(A\) and \(B\) whose ebullioscopic constants are in the ratio of \(1 : 5.\) The ratio of the elevation in their boiling points, \(\frac{{\Delta \,{T_b}\,(A)}}{{\Delta \,{T_b}\,(B)}}\) is

A \(300\,mL\) bottle of soft drink has \(0.2\,M CO _2\) dissolved in it. Assuming \(CO _2\) behaves as an ideal gas, the volume of the dissolved \(CO _2\) at \(STP\) is \(......mL\). (Nearest integer) Given: At \(STP\), molar volume of an ideal gas is \(22.7\,L\,mol ^{-1}\)

The values of conductivity of some materials at \(298.15 \mathrm{~K}\) in \(\mathrm{Sm}^{-1}\) are \(2.1 \times 10^3\), \(1.0 \times 10^{-16}, 1.2 \times 10,3.91,1.5 \times 10^{-2}\), \(1 \times 10^{-1}, 1.0 \times 10^3\). The number of conductors among the materials is _______.

When a potential difference \(V\) is applied across a wire of resistance \(R\), it dissipates energy at a rate \(W\). If the wire is cut into two halves and these halves are connected mutually parallel across the same supply, the same supply, the energy dissipation rate will become what?

The hydrogen spectrum consists of several spectral lines in Lyman series \(\left( L _1, L_2, L_3 \ldots ; L _1\right.\) has lowest energy among Lyman series). Similarly it consists of several spectral lines in Balmer series ( \(B _1, B_2\), \(B _3 \ldots; B _1\) has lowest energy among Balmer lines). The energy of \(L_1\) is \(x\) times the energy of \(B_1\).
The value of \(x\) is __________ \(\times 10^{-1}\) (Nearest inteter)

Match List \(- I\) (Experiment performed) with List \(-II\) (Phenomena discovered/associated) and select the correct option from the options given the lists

List \(- I\)	List \(- II\)
\((1)\) Davisson and Genner	\((i)\) Wave nature of electrons
\((2)\) Millikan's oil drop experiment	\((ii)\) Charge of an electron
\((3)\) Rutherford experiment	\((iii)\) Quantisation of energy levels
\((4)\) Franck-Hertz experiment	\((iv)\) Existence of nucleus

A perpendicular is drawn from a point on the line \(\frac{{x - 1}}{2} = \frac{{y + 1}}{{ - 1}} = \frac{z}{1}\) to the plane \(x + y + z =  3\) such that the foot of the perpendicular \(Q\) also lies on the plane \(x -y + z = 3.\) Then the co-ordinates of \(Q\) are

The set of all values of \(t \in R\), for which the matrix  \(\left[\begin{array}{ccc}e^t & e^{-t}(\sin t-2 \cos t) & e^{-t}(-2 \sin t-\cos t) \\e^t & e^{-t}(2 \sin t+\cos t) & e^{-t}(\sin t-2 \cos t) \\e^t & e^{-t} \cos t & e^{-t} \sin t \end{array}\right]\) is invertible.

If the sum of the first 10 terms of the series \(\frac{4.1}{1+4.1^4}+\frac{4.2}{1+4.2^4}+\frac{4.3}{1+4.3^4}+\ldots\) is \(\frac{m}{n}\), where \(\operatorname{gcd}(m, n)=1\), then \(m+n\) is equal to______