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

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SUMMARY

The discussion focuses on solving phase diagram problems, specifically involving the Al-Ni system at 1000°C with a molar fraction of Ni at 0.5. Participants highlight the importance of understanding phase presence and composition, mentioning the use of the "lever rule" for calculating phase proportions. A mislabeling issue in a solution sheet is noted, where Ni was incorrectly identified as Al3Ni2. The conversation emphasizes the need for foundational knowledge in phase diagrams to effectively tackle these problems.

PREREQUISITES
  • Understanding of phase diagrams and their components
  • Familiarity with the lever rule for phase proportion calculations
  • Knowledge of solid and liquid phase behavior in alloy systems
  • Basic thermodynamics related to temperature and composition
NEXT STEPS
  • Study the application of the lever rule in phase diagrams
  • Research the Al-Ni phase diagram for detailed phase behavior
  • Explore examples of phase composition calculations in alloy systems
  • Review thermodynamic principles related to phase transitions
USEFUL FOR

Chemical engineers, materials scientists, and students studying phase diagrams and alloy systems will benefit from this discussion.

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
 
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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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