\(\mathrm{AlCl}_3\) in water at \(\mathrm{pH} < 7\) forms

The bond enthalpies of heavy hydrogen, \(\mathrm{O}-\mathrm{O}\) and \(\mathrm{D}-\mathrm{O}\) are \(+400,+498\) and \(+490 \mathrm{~kJ} \mathrm{~mol}^{-1}\), respectively. The \(\Delta_{\mathrm{r}} \mathrm{H}^{\circ}\) of the reaction to produce \(\mathrm{D}_2 \mathrm{O}\) is

Identify the product \((A)\) of the following reaction, \(\mathrm{C}_2 \mathrm{H}_5-\mathrm{O}-\mathrm{C}_2 \mathrm{H}_5+\mathrm{CO} \underset{500 \mathrm{~atm}}{\stackrel{\mathrm{BF}_3 / 150^{\circ} \mathrm{C}}{\longrightarrow}} A\)

Identify the correct statements from the folluwing (A) At 298 K, the potential of hydrogen electrode placed in a solution of \(\mathrm{pH}=10\), is -0.59 V (B) The limiting molar conductivity of \(\mathrm{Ca}^{2+}\) and \(\mathrm{Cl}^{-}\)is 119 and \(76 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}\) respectively. The limiting molar conductivity of \(\mathrm{CaCl}_2\) is \(195 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-\frac{1}{2}}\) (C) The correct relationship between \(\mathrm{K}_{\mathrm{c}}\) and \(\mathrm{E}_{\text {cell }}^0\) is \(\mathrm{E}_{\mathrm{ccll}}^{-}=\frac{2.303 \mathrm{RT}}{\mathrm{nF}} \log \mathrm{~K}_{\mathrm{c}}\)

Henry's law is valid for A) Ammonia gas dissolution in water B) ${\mathrm{O}}_2$ gas dissolution in unsaturated blood C) ${\mathrm{O}}_2$ dissolution in water D) ${\mathrm{CO}}_2$ dissolution in water

The set containing the elements with positive electron gain enthalpies is

At a certain temperature and at infinite dilution, the equivalent conductances of sodium benzoate, hydrochloric acid and sodium chloride are 240, 349 and \(229 \mathrm{ohm}^{-1} \mathrm{~cm}^2\) equiv \(^{-1}\) respectively. The equivalent conductance of benzoic acid in \(\mathrm{ohm}^{-1} \mathrm{~cm}^2\) equiv \(^{-1}\) at the same conditions is

A light bulb of power $100 \mathrm{W}$ is placed at the centre of a hollow sphere of radius $10 \mathrm{cm}.$ If the $66\%$ of the energy is converted into light, then the pressure exerted by the light on the surface of the sphere will be
(Assume the surface of sphere to be perfectly absorbing)

\(a x-y+c=0\) is the equation of the common tangent to the parabola \(y^2=8 \sqrt{5} x\) and the circle \(x^2+y^2=1\). If this tangent makes an acute angle with the positive \(\mathrm{X}\) - axis in the positive direction, then \(\mathrm{a}^2 \mathrm{c}^2=\)

A circular wire loop of radius \(1 \mathrm{~cm}\) carries a total charge \(1 \times 10^{-6} \mathrm{C}\) distributed uniformly over its length. If \(0.01 \%\) of its length (circumference) is cut-off, then the electric field at the centre of the loop due to the remaining wire is \[ \left(\text { Take, } \frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \text { SI unit }\right) \]

For which one of the following reactions, the entropy change is positive?

If \(A+B+C=2 S\), then \(\sin (S-A)+\sin (S-B)-\sin C=\)

Two statements are given below. Statement I : Molten NaCl is electrolysed using Pt electrodes. \(\mathrm{Cl}_2\) is liberated at anode. Statement II : Aqueous \(\mathrm{CuSO}_4\) is electrolysed using Pt electrodes. \(\mathrm{O}_2\) is liberated at cathode. The correct answer is