(a) For the solidification of iron, calculate the critical radius r* and the activation free energy ΔG* if nucleation is homogeneous. Values for the latent heat of fusion and surface free energy are –1.85 × 109 J/m3 and 0.204 J/m2, respectively. Use the supercooling value ΔT = 274 K, and the melting point of iron is 1538°C. Critical Radius, r* = nm Activation Free Energy ΔG* = J (b) Now calculate the number of atoms found in a nucleus of critical size. Assume a lattice parameter of 0.292 nm for solid iron at its melting temperature. Number of Atoms for Critical Size = atoms/critical nucleus