Phase Diagrams: The Lever Rule {Texas A&M: Intro to Materials}

Video tutorial illustrating application and derivation of the lever rule in a simple isomorphous binary phase diagram.
Video lecture for Introduction to Materials Science & Engineering (MSEN 201/MEEN 222), Texas A&M University, College Station, TX.
engineering.tam...

[@yuxueyao]

Great video, you are better than my professor!

[@ebimeneakeme4163]

I swear, Americans are so intelligent. literally they come up first in any academia search related results.

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u is my hero

[@sevincyagmurbeklerstudent6410]

Really thank you for sharing lecture videos and being so understandable and clear. You are a lifesaver!

[@fredrikbystrom7380]

0:00 So as a European asking, do people in Texas actually say "howdy" instead of "hello" to each other as a greeting?

[@tempestandacomputer6951]

Sometimes, but is mostly a Texas A&M University tradition.

[@MrDemi-wn8zw]

please keep uploading phase diagram videos Mr.Patrick ... THANK YOU

[@vg-qq6sw]

question 1 : what does a 40 percent system composition mean?
question 2 : if the solid and liquid is 50% + 30% what is the remaining 20%

[@HuggumsMcgehee]

question 1: The system composition is the weight/mole fraction of B in the system as a whole without consideration of what phase it's in. Assuming we're talking about weight fraction that means if you were to weigh out the total amount of pure B and divide it by the total amount of material, you would get 0.40 or 40%. Let's say you mixed 80 grams of B and 120 grams of A. The system composition of B would be found by 80g/(80g + 120g) = 0.40.
question 2: The 50% and 30% don't refer to the fraction of liquid and solid present. They refer to the composition of those individual phases. It means that if we were to take the solid phase out and ONLY look at the liquid phase, it would have a composition or 0.50 or 50% B. The rest of the liquid phase is 50% A. If we were to take the liquid phase out and ONLY look at the solid phase, it would have a composition of 0.30 or 30% B. The rest of the solid phase is 70% A. The liquid phase is relatively rich in B when compared to the solid phase.
You can use this to figure out what fraction is liquid and what fraction is solid, but that's not what those percentages mean in the video. You have to solve a system of two equations:
1) [weight fraction of B in liquid phase (0.50)]*[mass of liquid phase] + [weight fraction of B in solid phase (0.30)]*[mass of solid phase] = [mass of B (80g)]
2) [mass of liquid phase] + [mass of solid phase] = [total mass (200g)]
Solve for [mass of solid phase] or liquid. Doesn't matter which and the other answer is trivial.

[@maxmustermann-ie6ic]

@@HuggumsMcgehee Thank you for explaining it so well!

[@jiekaijia1526]

Thanks!@@HuggumsMcgehee

[@mlv3999]

Combining this with my own professor’s lecture and my notes, I’m a little closer than I was before. Thank you.

[@jeffersonumara2371]

The world has to compensate you for this helpful activity

[@funnycaplan3554]

Unbelievable) I couldn't properly understand this topic in my mother tongue while I was studying in university, yet I got it right with the help of your lecture here! High five!

[@ubeydaltuntas6140]

What a lesson 😉 Thanks Mr.Patrick

[@zetaphirho2646]

great video! thank you so much. the explanation was great

[@uditsaxena3844]

opposite side of liquid in last things why sir?

[@ninaariesta6115]

Thank you for the explanation Dr. Patrick

[@mathswallahprakashsondhiya5488]

0.5 right minus

[@mathswallahprakashsondhiya5488]

0.5 0.5 0.5

[@usmanmuhammad5061]

Please Keep uploading video. Thank You!!

[@hsoley]

excellent, Patrick you are the man!

[@r3dk2]

Thank you very much

[@WarpSpeedSloth]

your a life saver you know!

[@Ashishsharma-pq8ds]

What a conceptual explanation!!!

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great system you use here

[@ognenmanasovski6786]

Sir, you are amazing. My professor could not explain the meaning of the bounday lines and you explained em in less than two minutes.

[@allankafue5501]

thank God for you,i listened to my professor for hours and still didnt get it till i came...thanks

[@gummystar45]

liquid concentration is B/C not A/C. A/C is for solid concentration because its the opposite lever rule

[@panoskb9405]

You are not right!!

[@tohopes]

He addresses this at 10:00.

[@seabasschukwu6988]

you’re the best

[@youreverydaytutor278]

Thank you very much! I understands it better now

[@ebimeneakeme4163]

thank you so much Dr. Patrick

[@physicsinstructorpk4080]

Superb

[@nerminnerminzu]

Thank you very much!

[@mhlanganofreedom1292]

nice and clear explanation

[@amolnk]

Thank you!

[@enpeiz6671]

讲得真好！👍