(a) For the solidification of iron, calculate the critical radius r∗ and the activation free energy ΔG∗ if nucleation is

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(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=318 K, and the melting point of iron is 1538∘C. (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. a) 1.26 nm and 1.347964040616E-18J, b) 374.103247631995 atoms / critical nucleus a) 2.26nm and 2.347964040616E-18J, b) 374.103247631995 atoms / critical nucleus a) 1.26 nm and 1.347964040616E-18J, b) 673.103247631995 atoms / critical nucleus a) 2.26nm and 2.347964040616E-18J, b) 673.103247631995 atoms / critical nucleus