For the solidification of iron, calculate the critical radius r* and the activat

Question

For the solidification of iron, calculate the critical radius r* and the activation free energy G* if nucleation is homogeneous. Values for the latent heat of fusion and surface free energy are -1.85 X 109 J/m3 and 0.204 J/m2, respectively. Use the supercooling value found in Table 10.1. 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. Degree of Supercooling ( T) Values (Homogeneous Nucleation) for Several Metals

Explanation / Answer

del G* = 16pi (del Fs)/3(del Fv) r*=2del Fs/del Fv where del Fv = del Hf. delT/Tm for homo, Tm = del Tf/0.2 del Tf = 295 del Fs =0.204J/m3 del Hf=-1.85*1000000000.

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