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Is it possible to have a copper–nickel alloy that, at equilibrium, con-sists of an a phase of composition 37 wt% Ni–63 wt% Cu and also a liquid phase of composition20 wt% Ni–80 wt% Cu? If so, what will be the approximate temperature of the alloy? If this isnot possible, explain why

Question

Is it possible to have a copper–nickel alloy that, at equilibrium, con-sists of an a phase of composition 37 wt% Ni–63 wt% Cu and also a liquid phase of composition20 wt% Ni–80 wt% Cu? If so, what will be the approximate temperature of the alloy? If this isnot possible, explain why

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Solution

To answer this question, we need to refer to the phase diagram of the copper-nickel alloy system.

  1. First, we need to locate the compositions of the α phase and the liquid phase on the phase diagram. The α phase is 37 wt% Ni–63 wt% Cu and the liquid phase is 20 wt% Ni–80 wt% Cu.

  2. Next, we draw a tie line (isotherm) at the given compositions. If the tie line intersects both the α phase field and the liquid phase field, then it is possible to have both phases in equilibrium at that temperature.

  3. The temperature at which these two phases coexist in equilibrium can be read off from the phase diagram at the intersection of the tie line with the liquidus and solidus lines.

However, if the tie line does not intersect both phase fields, then it is not possible to have both phases in equilibrium at any temperature. This would be the case if the composition of the α phase is not within the phase boundaries of the liquid phase, or vice versa.

Without the actual phase diagram, I can't provide the exact temperature. But this is the general process you would follow to answer this question.

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