Hydroxyl ion concentration of \(1 \mathrm{M} \mathrm{HCl}\) is

\(5.8 \mathrm{~g}\) of a gas maintained at \(95^{\circ} \mathrm{C}\) occupies the same volume as \(0.368 \mathrm{~g}\) of hydrogen gas maintained at a temperature of \(17^{\circ} \mathrm{C}\) and pressure being the same atmospheric pressure for both the gases. What is the molecular mass of the unknown gas?

The \(E_{M^{3+} / M^{2+}}^o\) values for \(\mathrm{Cr}, \mathrm{Mn}, \mathrm{Fe}\) and Co are \(-0.41,+1.57,+0.77\) and +1.97 V respectively. For which of these metals, the change in oxidation state from +2 to +3 is the easiest?

The best method for the separation of \(o\)-nitrophenol and \(p\)-nitrophenol from their mixture is:

Which of the following shows negative deviation from Raoult's law?

Match reactions in Column I with the corresponding products formed as given in Column II.

Column I	Column II
A. \(\text{C}_6\text{H}_5\text{N}_2^+\ \text{Cl}^- + \dfrac{\text{H}_2\text{O}}{warm} \rightarrow\)	P. p–Bromophenol
B. \(\text{C}_6\text{H}_5\text{OH} + \dfrac{\text{Br}_2\ \text{in}\ \text{CS}_2}{273K} \rightarrow\)	Q. 2,4,6–Tribromophenol
C. \(\text{C}_6\text{H}_5\text{OH} + \dfrac{(i)\ \text{CHCl}_3 + \text{NaOH}(aq)}{(ii)\ \text{HCl}} \rightarrow\)	R. Phenol
D. \(\text{C}_6\text{H}_5\text{OH} + \text{Br}_2\ (aq) \rightarrow\)	S. 2–Hydroxybenzaldehyde

The order of reactivities of methyl halides in the formation of Grignard reagent is

The sum of \(n\) terms of the series, \(\dfrac{4}{3}+\dfrac{10}{9}+\dfrac{28}{27}+\ldots\) is

Given below are 4 equations showing Molar conductivities at infinite dilution of various electrolytes. Which one of them represents the correct equation?
\(\begin{aligned}
& \left(\Lambda_m^0\right)_{N a B r}-\left(\Lambda_m^0\right)_{N a C l}=\left(\Lambda_m^0\right)_{\mathrm{KCl}}-\left(\Lambda_m^0\right)_{\mathrm{KBr}} \\
& \left(\Lambda_m^0\right)_{\mathrm{HCl}}+\left(\Lambda_m^0\right)_{\mathrm{KOH}}-\left(\Lambda_m^0\right)_{\mathrm{KCl}}=\left(\Lambda_m^0\right)_{\mathrm{H}_2 \mathrm{O}} \\
& \left(\Lambda_m^0\right)_{\mathrm{KBr}}-\left(\Lambda_m^0\right)_{\mathrm{NaBr}}=\left(\Lambda_m^0\right)_{\mathrm{NaBr}}-\left(\Lambda_m^0\right)_{\mathrm{Nal}} \\
& \left(\Lambda_m^0\right)_{N H_4 \mathrm{Cl}}-\left(\Lambda_m^0\right)_{\mathrm{NH}_4 \mathrm{NO}_3}=\left(\Lambda_m^0\right)_{N H_4 \mathrm{Cl}}-\left(\Lambda_m^0\right)_{N H 4 B r}
\end{aligned}\)

Match the reactions in Column I with the correct products given in Column II:
\(\begin{array}{|l|l|l|l|} \hline \text{S.N.} & \text{Column I} & \text{S.No.} & \text{Column II} \\ \hline \text{A} & 1- \text{Chloropropane} + (\mathrm{Zn} / \mathrm{HCl}) \rightarrow & \text{P} & \text{Propanone + Methanal} \\ \hline \text{B} & n- \text{Hexane + (anh.} \left.\mathrm{AlCl}_3 / \mathrm{HCl}_{(\mathrm{g})}\right) \rightarrow & \text{Q} & \text{Propanone} \\ \hline \text{C} & 2- \text{Methylpropene} + ( \left.\mathrm{O}_3 ~\&~ \mathrm{Zn} / \mathrm{H}_2 \mathrm{O}\right) \rightarrow & \text{R} & \text{Propane} \\ \hline \text{D} & \text{Propyne} +\left(\mathrm{HgSO}_4 / \mathrm{H}_2 \mathrm{SO}_4\right. at 333 K) \rightarrow & \text{S} & \text{2-Methylpentane + 3-Methylpentane} \\ \hline \end{array}\)

Identify the INCORRECT statement

A circular disc of mass \(20 \mathrm{~kg}\), having radius \(10 \mathrm{~cm}\) is suspended by a wire attached to its centre. The wire is twisted by rotating the disc and released. The time period of torsional oscillations is found to be \(1 \mathrm{~s}\). The torsional spring constant of the wire is

The correct decreasing order of negative electron gain enthalpy for \(\mathrm{C}, \mathrm{Ca}, \mathrm{Al}, \mathrm{F}\) and \(\mathrm{O}\) is