Thermal decomposition of a Mn compound (X) at 513 K results in compound Y, MnO₂ and gaseous product. MnO₂ reacts with NaCl and concentrated H₂O₄ to give a pungent gas Z. X, Y and Z, respectively, are :

25 g of an unknown hydrocarbon upon burning produces 88 g of CO₂ and 9 g of H₂O. This unknown hydrocarbon contains :

5 moles of AB₂ weigh 125 × 10^–3 kg and 10 moles of A₂B₂ weigh 300 × 10^–3 kg. The molar mass of A (M_A) and molar mass of B (M_B) in kg mol are:

The mole fraction of a solvent in aqueous solution of a solute is 0.8. The molality (in mol kg^–1 ) of the aqueous solution is :