JEE (Advanced) 2009 Paper-2

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

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 calorimeteris 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 60K. 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 solutionofits sodium salt is

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

The oxidation number of Mnin the product of alkaline oxidative fusion of $$MnO_2$$ is

The number of water molecule(s) directly bonded to the metal centre in $$CuSO_4.5H_2O$$ is

The coordination numberof Al in the crystalline state of $$AlCl_3$$, is

The total number of cyclic structural as well as stereo isomers possible for a compound with the molecular formula $$C_5H_{10}$$ is

If the sum of first n terms of an A.P. is $$cn^2$$, then the sum of squares of these n terms is