Phase Diagram Question: How to Solve with Ease | No Template Needed

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Discussion Overview

The discussion revolves around understanding and solving problems related to phase diagrams, specifically in the context of a homework assignment involving the phases of a material system at given temperatures and compositions. The scope includes conceptual understanding and technical application of phase diagrams and related rules.

Discussion Character

  • Homework-related
  • Conceptual clarification
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about how to approach phase diagram problems and requests guidance.
  • Another participant suggests that the phase diagram indicates temperature as the y-axis and molar fraction of Ni as the x-axis, noting that at 1000° and x(Ni)=0.5, AlNi has a solid phase.
  • A third participant emphasizes the need for the original poster to demonstrate some understanding of phase diagrams before receiving help.
  • A participant mentions they can identify the phases present but struggles with determining the composition of each phase and the amounts of phases.
  • Concerns are raised about a potential error in a solution sheet regarding the labeling of phases and the application of the lever rule for calculating phase proportions.
  • One participant reports an "aha" moment regarding composition but still finds the lever rule concept unclear.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and confusion regarding phase diagrams and the application of the lever rule. There is no consensus on how to effectively solve the homework problem, and multiple viewpoints on the correct approach remain present.

Contextual Notes

Participants have not fully resolved the mathematical steps involved in applying the lever rule or determining phase compositions, and there are indications of potential errors in provided solution materials.

mrblanco
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THIS HOMEWORK WAS PLACED INCORRECTLY IN ANOTHER FORUM, SO THERE IS NO TEMPLATE (AND NO EFFORT)

I have no idea how to tackle this. Please show me how to do these problems.
ImageUploadedByPhysics Forums1427344779.639261.jpg
 
Last edited by a moderator:
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It seems to me that:

> y = temperature and x = molar fraction of Ni
> The phase diagram shows liquid and solid phases
> At 1000° and x(Ni)=0.5 , AlNi has a solid phase
This is only a brief suggestion; however let’s wait for an answer by an expert.
 
Mrblanco, You need to read the PF rules and guidelines. Before we can help you, there needs to be some effort on your part. Saying that you don't have a clue is not an acceptable answer. Tell us your understanding of how phase diagrams work, even if it is very little.

Chet
 
Ok. So I understand how to get the phases present at each stage and I went ahead and labeled where each point should fall on, however, I don't understand how to get the composition of each phase or the amount of phases. Here is what I have so far:

ImageUploadedByPhysics Forums1427377417.449802.jpg


And I was given part (d) as an example but it's honestly made the problem more confusing as I am just given answers and no way of determining them
ImageUploadedByPhysics Forums1427377498.118081.jpg
 
It looks like there is something wrong with the solution sheet for part d. They correctly identified the phases present, and then calculated the proportions of the phases. But, in displaying the proportions, they mis-labeled Ni as Al3Ni2. They calculated the proportions by drawing a "tie line" and applying the "lever rule." Are you familiar with these concepts?

Chet
 
Yes. I actually just had one of those "aha" moments for the composition while looking at this again, however, the lever rule concept still escapes me
 
mrblanco said:
Yes. I actually just had one of those "aha" moments for the composition while looking at this again, however, the lever rule concept still escapes me
http://en.wikipedia.org/wiki/Lever_rule
 

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