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

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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.
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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.
 
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
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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