Question: State Hume-Rothery's size factor rule governing the solid solubility of primary phases in binary alloys. The solid solubility of Pb in Cu is 0.09 atomic

State Hume-Rothery's size factor rule governing the solid solubility of primary phases in binary alloys. The solid solubility of Pb in Cu is 0.09 atomic per cent at 600C. Calculate the change in free energy associated with this solubility. You may assume that solid solution of Pb in Cu is thermodynamically ideal. Show that the misfit strain determined from this energy obeys Hume-Rothery's size factor role. (Ans. Misfit strain =20% ) Data:- Atomic diameter of Cu=2.556A; Bulk modulus of Pb,K=50kN/mm2; Avocadro's number N=6.02251023; Gas constant R=8.314J/molK

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