The correct options are
A Lattice energy ∝1r2. {where r is the interionic distance}
C Ionic mobility of the ions in aqueous state ∝1radius of ions in gaseous state
D Heat of formation of a compound depends on the number of steps involved in its formation reaction
(a) Lattice energy ∝1r. hence (a) is wrong
(b) Correct
(c) Ionic mobility in aqueous state
∝1radius of ion in aqueous state (Hydration Radii)
Hence (c) is wrong
(d) Violating Hess law. Hess's law states that energy changes are state functions and that the amount of energy depends only on the states of the reactants and the state of the products, but not on the intermediate steps. Enthalpy changes in chemical reactions are constant, irrespective of whether the reactions occur in a single or multiple steps.