The reaction sequence(s) that would lead to o-xylene as the major product is(are)

Correct option(s) for the following sequence of reactions is(are)

For the following reaction,
$$2X + Y\buildrel k \over \longrightarrow P$$ the rate of reaction is $${{d[P]} \over {dt}} = k[X]$$. Two moles of X are mixed with one mole of Y to make 1.0 L of solution. At 50 s, 0.5 mole of Y is left in the reaction mixture. The correct statement(s) about the reaction is(are)

(Use : ln 2 = 0.693)

Some standard electrode potentials at 298 K are given below :

Pb²⁺ /Pb = $$- $$0.13 V

Ni²⁺ /Ni = $$-$$ 0.24 V

Cd²⁺ /Cd = $$-$$ 0.40 V

Fe²⁺ /Fe = $$-$$ 0.44 V

To a solution containing 0.001 M of X²⁺ and 0.1 M of Y²⁺, the metal rods X and Y are inserted (at 298 K) and connected by a conducting wire. This resulted in dissolution of X. The correct combination(s) of X and Y, respectively, is(are)

(Given : Gas constant, R = 8.314 J K^$$-$$ mol^$$-$$1, Faraday constant, F = 96500 C mol^$$-$$1)

The pair(s) of complexes wherein both exhibit tetrahedral geometry is(are)

(Note : py = pyridine)

Given : Atomic numbers of Fe, Co, Ni and Cu are 26, 27, 28 and 29, respectively)

The correct statement(s) related to oxoacids of phosphorous is(are)

At 298 K, the limiting molar conductivity of a weak monobasic acid is 4 $$\times$$ 10² S cm² mol^$$-$$1. At 298 K, for an aqueous solution of the acid the degree of dissociation is $$\alpha$$ and the molar conductivity is y $$\times$$ 10² S cm² mol^$$-$$1. At 298 K, upon 20 times dilution with water, the molar conductivity of the solution becomes 3y $$\times$$ 10² S cm² mol^$$-$$1.

The value of $$\alpha$$ is __________.

At 298 K, the limiting molar conductivity of a weak monobasic acid is 4 $$\times$$ 10² S cm² mol^$$-$$1. At 298 K, for an aqueous solution of the acid the degree of dissociation is $$\alpha$$ and the molar conductivity is y $$\times$$ 10² S cm² mol^$$-$$1. At 298 K, upon 20 times dilution with water, the molar conductivity of the solution becomes 3y $$\times$$ 10² S cm² mol^$$-$$1.

The value of y is __________.

Reaction of x g of Sn with HCl quantitatively produced a salt. Entire amount of the salt reacted with y g of nitrobenzene in the presence of required amount of HCl to produce 1.29 g of an organic salt (quantitatively).

(Use Molar masses (in g mol^$$-$$1) of H, C, N, O, Cl and Sn as 1, 12, 14, 16, 35 and 119, respectively).

The value of x is _________.

Reaction of x g of Sn with HCl quantitatively produced a salt. Entire amount of the salt reacted with y g of nitrobenzene in the presence of required amount of HCl to produce 1.29 g of an organic salt (quantitatively).

(Use Molar masses (in g mol^$$-$$1) of H, C, N, O, Cl and Sn as 1, 12, 14, 16, 35 and 119, respectively).

The value of y is _________.

A sample (5.6 g) containing iron is completely dissolved in cold dilute HCl to prepare a 250 mL of solution. Titration of 25.0 mL of this solution requires 12.5 mL of 0.03 M KMnO₄ solution to reach the end point. Number of moles of Fe²⁺ present in 250 mL solution is x $$\times$$ 10^$$-$$2 (consider complete dissolution of FeCl₂). The amount of iron present in the sample is y% by weight.

(Assume : KMnO₄ reacts only with Fe²⁺ in the solution

Use : Molar mass of iron as 56 g mol^$$-$$1)

The value of x is ______.

A sample (5.6 g) containing iron is completely dissolved in cold dilute HCl to prepare a 250 mL of solution. Titration of 25.0 mL of this solution requires 12.5 mL of 0.03 M KMnO₄ solution to reach the end point. Number of moles of Fe²⁺ present in 250 mL solution is x $$\times$$ 10^$$-$$2 (consider complete dissolution of FeCl₂). The amount of iron present in the sample is y% by weight.

(Assume : KMnO₄ reacts only with Fe²⁺ in the solution

Use : Molar mass of iron as 56 g mol^$$-$$1)

The value of y is ______.

Correct match of the C-H bonds (shown in bold) in Column J with their BDE in Column K is

Column J Molecule	Column K BDE (kcal $$mo{l^{ - 1}}$$)
(P) H-CH($$C{H_3}$$)$$_2$$	(i) 132
(Q) H-CH$$_2$$Ph	(ii) 110
(R) H-CH=CH$$_2$$	(iii) 95
(S) H-C $$ \equiv $$ CH	(iv) 88

For the following reaction

CH₄(g) + Cl₂(g) $$\buildrel {light} \over \longrightarrow $$ CH₃Cl(g) + HCl (g)

the correct statement is

Precipitate X is

Among the following, the brown ring is due to the formation of

One mole of an ideal gas at 900 K, undergoes two reversible processes, I followed by II, as shown below. If the work done by the gas in the two processes are same, the value of $$\ln {{{V_3}} \over {{V_2}}}$$ is _________.


(U : internal energy, S : entropy, p : pressure, V : volume, R : gas constant)

(Given : molar heat capacity at constant volume, C_V,m of the gas is $${5 \over 2}$$R)

Consider a helium (He) atom that absorbs a photon of wavelength 330 nm. The change in the velocity (in cm s^$$-$$1) of He atom after the photon absorption is __________.

(Assume : Momentum is conserved when photon is absorbed.

Use : Planck constant = 6.6 $$\times$$ 10^$$-$$34 J s, Avogadro number = 6 $$\times$$ 10²³ mol^$$-$$1, Molar mass of He = 4 g mol^$$-$$1)

Ozonolysis of ClO₂ produces an oxide of chlorine. The average oxidation state of chlorine in this oxide is __________.