Problemset06_2007

Problemset06_2007 - Seoul National University The...

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Seoul National University The University of Tokyo Kinetic Processes in Materials Problem Set #06 Nov., 15, 2007 (Due 11/22/07) Prof. Han-Ill Yoo 1. For the solidification of molten (i) cesium and (ii) nickel by homogeneous nucleation, construct plots of G and r each as functions of the degree of undercooling, T . DATA: cesium nickel melting point ( o C) 28.6 1454 surface energy (J/m 2 ) 0.069 1.778 density (g/cm 3 ) 1.854 7.905 enthalpy of fusion (kJ/mol) 2.09 17.71 atomic mass (g/mol) 132.90 58.71 2. The system A-B exhibits regular solution behavior in the solid state. Answer parts (a) through (e), each when , the linear strain per unit composition difference, is equal to (i) 0 and (ii) 0.05. (a) Calculate the consolute temperature for solid miscibility. (b) What is the temperature at which the spinodal falls at the composition of X A =0.2? (c) What is the critical wavelength at T=775K? (d) What is the fastest growing wavelength at T=775K?

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