Anonymous
more than 3 weeks ago
For an alloy containing 20% Ag, determine which phase(s) are present in the alloy at 900°C. Also, determine the chemical composition of each phase and the amount of each phase present in the alloy.
It's about phase transformation
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ChatGPT
more than 3 weeks ago
To determine the phases present in the alloy at 900°C, we need to refer to the silver-gold phase diagram. At 900°C, the phase diagram shows that the alloy will consist of two phases: a solid solution phase (α-phase) and a eutectic phase (β-phase).
1. Solid solution phase (α-phase):
- Chemical composition: This phase will have a composition of 20% Ag and 80% Au.
- Amount present: Since the alloy contains 20% Ag, the solid solution phase will make up 20% of the alloy.
2. Eutectic phase (β-phase):
- Chemical composition: The eutectic composition is 71.9% Ag and 28.1% Au.
- Amount present: Since the alloy contains 20% Ag, the eutectic phase will make up the remaining 80% of the alloy.
In summary, at 900°C, the alloy containing 20% Ag will consist of a solid solution phase with a composition of 20% Ag and 80% Au, making up 20% of the alloy, and a eutectic phase with a composition of 71.9% Ag and 28.1% Au, making up the remaining 80% of the alloy.
1. Solid solution phase (α-phase):
- Chemical composition: This phase will have a composition of 20% Ag and 80% Au.
- Amount present: Since the alloy contains 20% Ag, the solid solution phase will make up 20% of the alloy.
2. Eutectic phase (β-phase):
- Chemical composition: The eutectic composition is 71.9% Ag and 28.1% Au.
- Amount present: Since the alloy contains 20% Ag, the eutectic phase will make up the remaining 80% of the alloy.
In summary, at 900°C, the alloy containing 20% Ag will consist of a solid solution phase with a composition of 20% Ag and 80% Au, making up 20% of the alloy, and a eutectic phase with a composition of 71.9% Ag and 28.1% Au, making up the remaining 80% of the alloy.
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Google Gemini AI
more than 3 weeks ago
Phase Diagram
[Ag-Cu Phase Diagram](https://www.totalmateria.com/Article/2418/Copper-Silver-Phase-Diagram)
At 900°C
- The alloy is in the (α + β) two-phase region.
Chemical Composition of Each Phase
- α phase: Primarily Ag with some dissolved Cu
- β phase: Primarily Cu with some dissolved Ag
Amount of Each Phase
To determine the amount of each phase, we need the lever rule:
```
Phase fraction = (Length of tie-line on other side of phase) / (Total length of tie-line)
```
Compositions of the Phases
From the tie-line, we can estimate the compositions of the phases:
- α phase: 30 wt% Ag, 70 wt% Cu
- β phase: 12 wt% Ag, 88 wt% Cu
Amount of Each Phase
Using the lever rule:
- α phase: 0.2 / (0.2 + 0.12) = 0.625
- β phase: 0.12 / (0.2 + 0.12) = 0.375
Conclusions
- The alloy contains both α (30% Ag, 70% Cu) and β (12% Ag, 88% Cu) phases at 900°C.
- The alloy consists of 62.5% α phase and 37.5% β phase.
[Ag-Cu Phase Diagram](https://www.totalmateria.com/Article/2418/Copper-Silver-Phase-Diagram)
At 900°C
- The alloy is in the (α + β) two-phase region.
Chemical Composition of Each Phase
- α phase: Primarily Ag with some dissolved Cu
- β phase: Primarily Cu with some dissolved Ag
Amount of Each Phase
To determine the amount of each phase, we need the lever rule:
```
Phase fraction = (Length of tie-line on other side of phase) / (Total length of tie-line)
```
Compositions of the Phases
From the tie-line, we can estimate the compositions of the phases:
- α phase: 30 wt% Ag, 70 wt% Cu
- β phase: 12 wt% Ag, 88 wt% Cu
Amount of Each Phase
Using the lever rule:
- α phase: 0.2 / (0.2 + 0.12) = 0.625
- β phase: 0.12 / (0.2 + 0.12) = 0.375
Conclusions
- The alloy contains both α (30% Ag, 70% Cu) and β (12% Ag, 88% Cu) phases at 900°C.
- The alloy consists of 62.5% α phase and 37.5% β phase.
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