If a rocket runs on a fuel (C₁₅H₃₀) and liquid oxygen, the weight of oxygen required and CO₂ released for every litre of fuel respectively are :

(Given : density of the fuel is 0.756 g/mL)

Consider the following pairs of electrons

(A) (a) n = 3, $$l$$ = 1, m₁ = 1, m_s = + $${1 \over 2}$$

      (b) n = 3, 1 = 2, m₁ = 1, m_s = + $${1 \over 2}$$

(B) (a) n = 3, $$l$$ = 2, m₁ = $$-$$2, m_s = $$-$$$${1 \over 2}$$

      (b) n = 3, $$l$$ = 2, m₁ = $$-$$1, m_s = $$-$$$${1 \over 2}$$

(C) (a) n = 4, $$l$$ = 2, m₁ = 2, m_s = + $${1 \over 2}$$

      (b) n = 3, $$l$$ = 2, m₁ = 2, m_s = + $${1 \over 2}$$

The pairs of electrons present in degenerate orbitals is/are :

Match List - I with List - II :

	List - I		List -II
(A)	$${[PtC{l_4}]^{2 - }}$$	(I)	$$s{p^3}d$$
(B)	$$Br{F_5}$$	(II)	$${d^2}s{p^3}$$
(C)	$$PC{l_5}$$	(III)	$$ds{p^2}$$
(D)	$${[Co{(N{H_3})_6}]^{3 + }}$$	(IV)	$$s{p^3}{d^2}$$

Choose the most appropriate answer from the options given below :

For a reaction at equilibrium

A(g) $$\rightleftharpoons$$ B(g) + $${1 \over 2}$$ C(g)

the relation between dissociation constant (K), degree of dissociation ($$\alpha$$) and equilibrium pressure (p) is given by :

Given below are the oxides:

Na₂O, As₂O₃, N₂O, NO and Cl₂O₇

Number of amphoteric oxides is :

The most stable trihalide of nitrogen is :

In the given reaction sequence, the major product 'C' is :

Two statements are given below :

Statement I : The melting point of monocarboxylic acid with even number of carbon atoms is higher than that of with odd number of carbon atoms acid immediately below and above it in the series.

Statement II : The solubility of monocarboxylic acids in water decreases with increase in molar mass.

Choose the most appropriate option :

Which of the following is an example of conjugated diketone?

The major product of the above reactions is :

A polysaccharide 'X' on boiling with dil H₂SO₄ at 393 K under 2-3 atm pressure yields 'Y'. 'Y' on treatment with bromine water gives gluconic acid. 'X' contains $$\beta$$-glycosidic linkages only. Compound 'X' is :

During the qualitative analysis of salt with cation y²⁺, addition of a reagent (X) to alkaline solution of the salt gives a bright red precipitate. The reagent (X) and the cation (y²⁺) present respectively are :

2O₃(g) $$\rightleftharpoons$$ 3O₂(g)

At 300 K, ozone is fifty percent dissociated. The standard free energy change at this temperature and 1 atm pressure is ($$-$$) ____________ J mol^$$-$$1. (Nearest integer)

[Given : ln 1.35 = 0.3 and R = 8.3 J K^$$-$$1 mol^$$-$$1]

The osmotic pressure of blood is 7.47 bar at 300 K. To inject glucose to a patient intravenously, it has to be isotonic with blood. The concentration of glucose solution in gL^$$-$$1 is _____________.

(Molar mass of glucose = 180 g mol^$$-$$1, R = 0.083 L bar K^$$-$$1 mol^$$-$$1) (Nearest integer)

The cell potential for the following cell

Pt |H₂(g)|H⁺ (aq)|| Cu²⁺ (0.01 M)|Cu(s)

is 0.576 V at 298 K. The pH of the solution is __________. (Nearest integer)

(Given : $$E_{C{u^{2 + }}/Cu}^o = 0.34$$ V and $${{2.303\,RT} \over F} = 0.06$$ V)

The rate constants for decomposition of acetaldehyde have been measured over the temperature range 700 - 1000 K. The data has been analysed by plotting ln k vs $${{{{10}^3}} \over T}$$ graph. The value of activation energy for the reaction is ___________ kJ mol^$$-$$1. (Nearest integer)

(Given : R = 8.31 J K^$$-$$1 mol^$$-$$1)

The difference in oxidation state of chromium in chromate and dichromate salts is ___________.

In the cobalt-carbonyl complex : [Co₂(CO)₈], number of Co-Co bonds is "X" and terminal CO ligands is "Y". X + Y = ___________.

A 0.166 g sample of an organic compound was digested with conc. H₂SO₄ and then distilled with NaOH. The ammonia gas evolved was passed through 50.0 mL of 0.5 N H₂SO₄. The used acid required 30.0 mL of 0.25 N NaOH for complete neutralization. The mass percentage of nitrogen in the organic compound is ____________.

Number of electrophilic centres in the given compound is _______________.

The major product 'A' of the following given reaction has _____________ sp² hybridized carbon atoms.