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Chapter 9: Problem 2

At \(500^{\circ} \mathrm{C}\left(930^{\circ} \mathrm{F}\right)\), what is the maximum sollubility (a) of \(\mathrm{Cu}\) in \(\mathrm{Ag}\) ? (b) Of \(\mathrm{Ag}\) in \(\mathrm{Cu}\) ?

Short Answer

Expert verified
Question: Determine the maximum solubility of Cu in Ag and Ag in Cu at 500°C (930°F) using the Cu-Ag phase diagram. Answer: At 500°C (930°F), the maximum solubility of Cu in Ag is __% (by weight), and the maximum solubility of Ag in Cu is __% (by weight).

Step by step solution

01

Consult the Phase Diagram for the Cu-Ag System

A phase diagram represents the equilibrium state of a system at various conditions like temperature, pressure, and composition. For this question, we need the phase diagram of the Cu-Ag system. You could refer to the binary phase diagram of Cu-Ag which can be found in textbooks or online.
02

Locate the Given Temperature on the Phase Diagram

From the given exercise, the temperature is 500°C (930°F). Locate this temperature on the phase diagram's vertical axis (temperature axis) and draw a horizontal line that represents the temperature. This line will intersect with different phase regions and boundaries.
03

Determine the Solubility of Cu in Ag (a)

To determine the solubility of Cu in Ag, find the intersection point between the 500°C line and the phase boundary on the Cu-rich side of the diagram. This phase boundary represents the solubility limit of Cu in Ag at a given temperature. The intersection point represents the maximum solubility of Cu in Ag at 500°C. Read off the corresponding composition percentage of Cu at this intersection point on the horizontal axis (composition axis). This value is the maximum solubility of Cu in Ag at the specified temperature.
04

Determine the Solubility of Ag in Cu (b)

Likewise, to determine the solubility of Ag in Cu, find the intersection point between the 500°C line and the phase boundary on the Ag-rich side of the diagram. This phase boundary represents the solubility limit of Ag in Cu at a given temperature. The intersection point represents the maximum solubility of Ag in Cu at 500°C. Read off the corresponding composition percentage of Ag at this intersection point on the horizontal axis (composition axis). This value is the maximum solubility of Ag in Cu at the specified temperature. By following these steps, you will find the maximum solubility of Cu in Ag and Ag in Cu at the given temperature of 500°C (930°F) using the Cu-Ag phase diagram.

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