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Determine the solid-liquid interface temperature for steady-state solidification in a Sn-9wt % Bi alloy as well as the critical temperature gradient below which dendrite formation will occur assuming a width of 1mm for the concentration profile in front of the solid-liquid interface. The Bi-Sn phase diagram is that of a binary eutectic system. The melting temperatures for Bi and Sn are 271 and 232C, respectively, and the eutectic temperature is 139C. The eutectic composition is 42wt%Sn. At the eutectic temperature, the solubility limit of Bi in solid Sn is 19wt% and that of Sn in solid Bi is 2wt%. (Hint: Linearize the phase diagram.). Data Error function Note: When x