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i wanted to do one more example of basically a phased uh kind of a face a couple more examples of phase diagram problems so letamp;#39;s look at this phase diagram right here so i have a pure al uh letamp;#39;s fill out the phase diagram like we always do so whatamp;#39;s this going to be here this region well itamp;#39;s going to be al plus liquid because again thatamp;#39;s our liquidus line what about this one well iamp;#39;m going to be liquid plus this so thatamp;#39;s going to be or actually in here this al plus this region right here right so here here so solid solid solution what about right here so i have this solution here or this kind of phase al3 nickel plus again liquid over here these are all my liquidus lines so these lines are all separated again these are all these exterior ones are my liquidus lines for my phase diagram so anything touching that is going to be liquid so as you can see here now iamp;#39;m just in these kind of phases so iamp;#39;m on this side