Galena (an ore) is partially oxidized by passing air through it at high temperature. After some time, the passage of air is stopped, but the heating is continued in a closed furnace such that the contents undergo self-reduction. The weight (in $\mathrm{kg}$) of $\mathrm{Pb}$ produced per $\mathrm{kg}$ of ${\mathrm{O}}_2$ consumed is ____. (Atomic weights in $\mathrm{g}\mathrm{ }{\mathrm{mol}}^{-1}: \mathrm{O}=16,\mathrm{ }\mathrm{S}=32,\mathrm{ }\mathrm{Pb}=207$)

Among the following, the state function(s) is (are)

The reactivity of compound Z with different halogens under appropriate conditions is given below:

The observed pattern of electrophilic substitution can be explained by

Consider the following compounds in the liquid form:
\(O_2, HF, H_2 O, NH_3, H_2 O_2, CCl_4, CHCl_3,\) \(C_6 H_6, C_6 H_5 Cl .\)
When a charged comb is brought near their flowing stream, how many of them show deflection as per the following figure?

Based on the compounds of group 15 elements, the correct statement(s) is (are)

The geometries of the ammonia complexes of $\mathrm{N}{\mathrm{i}}^{2+}\mathrm{ },\mathrm{ }\mathrm{P}{\mathrm{t}}^{2+}\mathrm{ }\mathrm{a}\mathrm{n}\mathrm{d}\mathrm{ }\mathrm{Z}{\mathrm{n}}^{2+}$ respectively, are :

The weight percentage of hydrogen in $\mathrm{Q}$, formed in the following reaction sequence, is

[Given: Atomic mass of \(H =1, C =12,\) \(N=14, O =16, S=32, Cl \) \(=35\) ]

The acidic hydrolysis of ether (X) shown below is fastest when

A straight line \(L\) through the point \((3,-2)\) is inclined at an angle \(60^{\circ}\) to the line \(\sqrt{3} x+y=1\). If \(L\) also intersects the \(X\)-axis, then the equation of \(L\) is

With respect to hypochlorite, chlorate and perchlorate ions, choose the correct statement(s).

Paragraph:
Chemical reactions involve interaction of atoms and molecules. A large number of atoms/molecules (approximately \(6.023 \times 10^{23}\) ) are present in a few grams of any chemical compound varying with their atomic/molecular masses. To handle such large numbers conveniently, the mole concept was introduced. This concept has implications in diverse areas such as analytical chemistry, biochemistry, electrochemistry and radiochemistry. The following example illustrates a typical case, involving chemical/electrochemical reaction, which requires a clear understanding of the mole concept.
A \(4.0\) molar aqueous solution of \(\mathrm{NaCl}\) is prepared and \(500 \mathrm{~mL}\) of this solution is electrolysed. This leads to the evolution of chlorine gas at one of electrodes (atomic mass: \(\mathrm{Na}=23, \mathrm{Hg}=200 ; 1\) faraday \(=96500\) coulombs).
Question:
The total charge (coulombs) required for complete electrolysis is

Under ambient conditions, the total number of gases released as products in the final step of the reaction scheme shown below is

The dilution processes of different aqueous solutions with water are given in LIST-I. The effects of dilution of the solutions on $\left[{\mathrm{H}}^{+}\right]$ are given in LIST-II.
(Note: The degree of dissociation $\left(\mathrm{\alpha }\right)$ of a weak acid and a weak base is $<< 1;$ the degree of hydrolysis of salt is $<<1;\mathrm{ }\left[{\mathrm{H}}^{+}\right]$ represents the concentration of ${\mathrm{H}}^{+}$ ions)

List - I	List - II
A) 10 mL of \(0.1\text{ M NaOH} +20\text{ mL}\) of 0.1 M acetic acid diluted to 60 mL .	P) The value of \(\left[\text H ^{+}\right]\)does not change on dilution.
B) 20 mL of \(0.1\text{ M NaOH} +20\text{ mL}\) of 0.1 M acetic acid diluted to 80 mL .	Q) The value of \(\left[\text H ^{+}\right]\)changes to half of its initial value on dilution.
C) 20 mL of \(0.1\text{ M HCl} +20\text{ mL}\) of 0.1 M ammonia solution diluted to 80 mL .	R) The value of \(\left[\text H ^{+}\right]\)changes to two times its initial value on dilution.
D) 10 mL saturated solution of \(\text{Ni} (\text{OH})_2\) in equilibrium with excess of solid \(\text{Ni} (\text{OH})_2\) is diluted to 20 mL (solid \(\text{Ni} (\text{OH})_2\) is still present after dilution).	S) The value of \(\left[\text H ^{+}\right]\)changes to \(\sqrt{ }\) times its initial value on dilution.
	T) The value of \(\left[\text H ^{+}\right]\)changes to \(\sqrt{2}\) times its initial value on dilution.

Match each process given in LIST-I with one or more effect(s) in LIST-II. The correct option is