homework8 - T = 775 K anywhere in the A-B system? (e) What...

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Matsc 503 Kinetics of Materials Processes Spring 2002 Problem Set #8 Due April 17 A binary system A-B exhibits the regular solution behavior in the solid state. Answer parts (a) through (e), each when, ε o =(1/ a )(d a /d X A ), the linear strain per unit composition difference, is equal to (i) 0 and (ii) 0.06. (a) Calculate the consolute temperature for solid miscibility (the top of the miscibility gap). (b) What is the temperature of the spinodal for the solutions of composition X A = 0.25 and X A = 0.40? (c) What is the critical wavelength at T = 775 K for the two solutions of part (b)? (d) What is the fastest growing wavelength at
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Unformatted text preview: T = 775 K anywhere in the A-B system? (e) What is the maximum value of the amplification factor, R ( k ), at 775 K anywhere in the A-B system? Data: The regular solution free energy: f ( X A )= X A (1-X A )+ RT ( X A ln X A +[(1-X A )ln(1-X A )] Gradient energy coefficient, k = 2x10-9 J m-1 Young's modulus, E =2 (1+ v ) = 10 11 Pa Poisson's ratio, v = 0.3 Tracer diffusion coefficient, D A * = D B * = 10-3 exp(-100 kJ/ RT ) m 2 s-1 Atomic masses, M A = 195 g mol-1 , M B = 197 g mol-1 Densities, A = 21.5 g cm-3 , B = 19.3 g cm-3...
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This note was uploaded on 01/19/2010 for the course MAT SCI 503 taught by Professor Chen during the Spring '02 term at Pennsylvania State University, University Park.

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