For a first-order reaction A $$\to$$ P, the temperature (T) dependent rate constant (k) was found to follow the equation $$\log k = - (2000){1 \over T} + 6.0$$. The pre-exponential factor A and activation energy $$E_a$$, respectively, are

The spin only magnetic moment value (in Bohr magneton units) of Cr(CO)$$_6$$ is

In the following carbocation, H/CH$$_3$$ that is most likely to migrate to the positively charged carbon is :

The correct stability order of the following resonance structures is

For the reduction of NO$$_3^ - $$ ion in an aqueous solution, E$$^0$$ is + 0.96 V. Values of E$$^0$$ for some metal ions are given below:

$$\matrix{ {{V^{2 + }}(aq.) + 2{e^ - } \to V} & {{E^0} = - 1.19\,V} \cr {F{e^{3 + }}(aq.) + 3{e^ - } \to Fe} & {{E^0} = - 0.04\,V} \cr {A{u^{3 + }}(aq) + 3{e^ - } \to Au} & {{E^0} = + 1.40\,V} \cr {H{g^{2 + }}(aq) + 2{e^ - } \to Hg} & {{E^0} = + 0.86\,V} \cr } $$

The pair(s) of metals that is (are) oxidized by NO$$_3^ - $$ in aqueous solution is(are)

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

In the reaction

$$\mathrm{2X+B_2H_6\to[BH_2(X)_2]^+[BH_4]^-}$$

the amine(s) X is(are) :

The nitrogen oxide(s) that contain(s) N-N bond(s) is(are)

The correct statement(s) about the following sugar X and Y is(are)

Match each of the reactions given in Column I with the corresponding product(s) given in Column II:

	Column I		Column II
(A)	$$\mathrm{Cu+dil.~HNO_3}$$	(P)	$$\mathrm{NO}$$
(B)	$$\mathrm{Cu+conc.~HNO_3}$$	(Q)	$$\mathrm{NO_2}$$
(C)	$$\mathrm{Zn+dil.~HNO_3}$$	(R)	$$\mathrm{N_2O}$$
(D)	$$\mathrm{Zn+conc.~HNO_3}$$	(S)	$$\mathrm{Cu(NO_3)_2}$$
		(T)	$$\mathrm{Zn(NO_3)_2}$$

Match each of the compounds given in Column I with the reaction(s), that they can undergo, given in Column II.

	Column I		Column II
(A)		(P)	Nucleophilic substitution
(B)		(Q)	Elimination
(C)		(R)	Nucleophilic addition
(D)		(S)	Esterification with acetic anhydride
		(T)	Dehydrogenation

In a constant volume calorimeter, 3.5 g of a gas with molecular weight 28 was burnt in excess oxygen at 298.0 K. The temperature of the calorimeter was found to increase from 298.0 K to 298.45 K due to the combustion process. Given that the heat capacity of the calorimeter is 2.5 kJ K$$^{-1}$$, the numerical value for the enthalpy of combustion of the gas in kJ mol$$^{-1}$$ is ____________.

At 400 K, the root mean square (rms) speed of a gas X (molecular weight = 40) is equal to the most probable speed of gas Y at 60 K. The molecular weight of the gas Y is ___________.

The dissociation constant of a substituted benzoic acid at 25$$^\circ$$C is 1.0 $$\times$$ 10$$^{-4}$$. The pH of a 0.01 M solution of its sodium salt is __________.

The total number of $$\alpha$$ and $$\beta$$ particles emitted in the nuclear reaction $$_{92}^{238}U \to _{82}^{214}Pb$$ is _________.

The oxidation number of Mn in the product of alkaline oxidative fusion of MnO$$_2$$ is ___________.

The number of water molecule(s) directly bonded to the centre in CuSO$$_4$$ . 5H$$_2$$O is __________.

The coordination number of Al in the crystalline state of AlCl$$_3$$ is ___________.

The total number of cyclic structural as well as stereoisomers possible for a compound with the molecular formula C$$_5$$H$$_{10}$$ is ____________.